TSTP Solution File: SWV875-1 by Beagle---0.9.51
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SWV875-1 : 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 : n005.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 11:05:51 EDT 2023
% Result : Unsatisfiable 10.11s 3.43s
% Output : CNFRefutation 10.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 156
% Syntax : Number of formulae : 159 ( 5 unt; 154 typ; 0 def)
% Number of atoms : 5 ( 0 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 : 296 ( 142 >; 154 *; 0 +; 0 <<)
% Number of predicates : 65 ( 64 usr; 1 prp; 0-9 aty)
% Number of functors : 90 ( 90 usr; 12 con; 0-6 aty)
% Number of variables : 2 (; 2 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ c_Complete__Lattice_Ocomplete__lattice > c_Nitpick_Ofold__graph_H > c_Map_Omap__le > c_Lattices_Olower__semilattice > c_Orderings_Olinorder > c_Hoare__Mirabelle_Ohoare__valids > c_Hoare__Mirabelle_Ohoare__derivs > c_Finite__Set_Ofun__left__comm > c_OrderedGroup_Oab__semigroup__mult > c_OrderedGroup_Oab__semigroup__idem__mult > c_Finite__Set_Ofinite > hBOOL > class_Ring__and__Field_Osemiring > class_Ring__and__Field_Oring__no__zero__divisors > class_Ring__and__Field_Oring > class_Ring__and__Field_Opordered__semiring > 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__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_Oidom > class_Ring__and__Field_Ofield > class_Ring__and__Field_Ocomm__semiring__1 > class_Ring__and__Field_Ocomm__semiring > 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 > class_OrderedGroup_Omonoid__add > class_OrderedGroup_Olordered__ab__group__add__meet > class_OrderedGroup_Olordered__ab__group__add__join > 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_Lattices_Oupper__semilattice > class_Lattices_Olower__semilattice > class_Lattices_Olattice > class_Lattices_Odistrib__lattice > class_Lattices_Obounded__lattice > class_Int_Onumber__ring > class_HOL_Oord > class_HOL_Ominus > class_Finite__Set_Ofinite_Ofinite > class_Complete__Lattice_Ocomplete__lattice > v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__3 > v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__3 > c_Finite__Set_Ofold__image > c_Option_Ooption_Ooption__case > c_Fun_Ofun__upd > c_Finite__Set_Ofold__graph > c_Finite__Set_Ofold > v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2 > v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1 > v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__2 > v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__1 > v_sko__Hoare__Mirabelle__Xescape__2 > v_sko__Hoare__Mirabelle__Xescape__1 > v_sko__Hoare__Mirabelle__Xconseq12__3 > v_sko__Hoare__Mirabelle__Xconseq12__2 > v_sko__Hoare__Mirabelle__Xconseq12__1 > c_Set_Ovimage > c_Map_Osko__Map__Xmap__le__def__1__1 > c_Map_Osko__Map__XdomD__1__1 > c_Map_Orestrict__map > c_Map_Omap__add > c_Hoare__Mirabelle_Otriple_Otriple > c_Finite__Set_Osetsum > c_Finite__Set_Osetprod > c_COMBC > c_SetInterval_Oord__class_OatLeastAtMost > c_Map_Odom > c_HOL_Ominus__class_Ominus > c_Finite__Set_Olattice_OSup__fin > c_Finite__Set_Olattice_OInf__fin > c_Finite__Set_Ofold1Set > c_COMBK > c_ATP__Linkup_Osko__Finite__Set__Xlinorder__class__XMin__eqI__1__1 > c_ATP__Linkup_Osko__Finite__Set__Xlinorder__class__XMax__eqI__1__1 > c_ATP__Linkup_Osko__Finite__Set__Xfinite__nonempty__imp__fold1Set__1__1 > v_sko__Hoare__Mirabelle__Xconseq2__2 > v_sko__Hoare__Mirabelle__Xconseq2__1 > v_sko__Hoare__Mirabelle__Xconseq1__2 > v_sko__Hoare__Mirabelle__Xconseq1__1 > tc_fun > hAPP > c_The > c_Set_Ocontents > c_SetInterval_Oord__class_OlessThan > c_Option_Othe > c_Option_Oset > c_Nitpick_Osko__Nitpick__XEx1__def__1__3 > c_Finite__Set_Ofold1 > c_Finite__Set_Ocard > c_Complete__Lattice_OSup__class_OSup > c_Complete__Lattice_OInf__class_OInf > c_Com_Ocom_OSemi > c_ATP__Linkup_Osko__Finite__Set__Xab__semigroup__mult__Xfold1__in__1__2 > c_ATP__Linkup_Osko__Finite__Set__Xab__semigroup__mult__Xfold1__in__1__1 > #nlpp > tc_Option_Ooption > tc_Hoare__Mirabelle_Otriple > c_lessequals > c_in > c_fequal > c_Suc > c_Set_Oinsert > c_Orderings_Oord__class_Omin > c_Orderings_Oord__class_Omax > c_Orderings_Obot__class_Obot > c_Option_Ooption_OSome > c_Option_Ooption_ONone > c_Natural_Oevalc > c_Lattices_Oupper__semilattice__class_Osup > c_Lattices_Olower__semilattice__class_Oinf > c_Hoare__Mirabelle_OMGT > c_HOL_Ozero__class_Ozero > c_HOL_Otimes__class_Otimes > c_HOL_Oplus__class_Oplus > c_HOL_Oord__class_Oless > c_Finite__Set_Olinorder__class_OMin > c_Finite__Set_Olinorder__class_OMax > c_Finite__Set_Olattice__class_OInf__fin > c_Com_Ocom_OBODY > v_x > v_c > v_G > tc_nat > tc_bool > tc_Com_Ostate > tc_Com_Opname > tc_Com_Ocom > t_b > t_a > c_Com_Ocom_OSKIP > c_Com_Obody
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(tc_Com_Ostate,type,
tc_Com_Ostate: $i ).
tff(v_x,type,
v_x: $i ).
tff(class_OrderedGroup_Oab__semigroup__idem__mult,type,
class_OrderedGroup_Oab__semigroup__idem__mult: $i > $o ).
tff(c_ATP__Linkup_Osko__Finite__Set__Xfinite__nonempty__imp__fold1Set__1__1,type,
c_ATP__Linkup_Osko__Finite__Set__Xfinite__nonempty__imp__fold1Set__1__1: ( $i * $i * $i ) > $i ).
tff(c_Finite__Set_Ofold1,type,
c_Finite__Set_Ofold1: ( $i * $i ) > $i ).
tff(v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1,type,
v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1: ( $i * $i * $i * $i ) > $i ).
tff(class_Orderings_Olinorder,type,
class_Orderings_Olinorder: $i > $o ).
tff(v_sko__Hoare__Mirabelle__Xescape__2,type,
v_sko__Hoare__Mirabelle__Xescape__2: ( $i * $i * $i * $i ) > $i ).
tff(class_OrderedGroup_Opordered__ab__semigroup__add,type,
class_OrderedGroup_Opordered__ab__semigroup__add: $i > $o ).
tff(c_Finite__Set_Ofun__left__comm,type,
c_Finite__Set_Ofun__left__comm: ( $i * $i * $i ) > $o ).
tff(c_SetInterval_Oord__class_OlessThan,type,
c_SetInterval_Oord__class_OlessThan: ( $i * $i ) > $i ).
tff(class_Int_Onumber__ring,type,
class_Int_Onumber__ring: $i > $o ).
tff(c_COMBK,type,
c_COMBK: ( $i * $i * $i ) > $i ).
tff(class_HOL_Ominus,type,
class_HOL_Ominus: $i > $o ).
tff(c_Map_Osko__Map__XdomD__1__1,type,
c_Map_Osko__Map__XdomD__1__1: ( $i * $i * $i * $i ) > $i ).
tff(c_Orderings_Oord__class_Omin,type,
c_Orderings_Oord__class_Omin: $i > $i ).
tff(c_Option_Oset,type,
c_Option_Oset: ( $i * $i ) > $i ).
tff(v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__1,type,
v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__1: ( $i * $i * $i * $i ) > $i ).
tff(c_fequal,type,
c_fequal: $i > $i ).
tff(c_Finite__Set_Ofold1Set,type,
c_Finite__Set_Ofold1Set: ( $i * $i * $i ) > $i ).
tff(c_Map_Osko__Map__Xmap__le__def__1__1,type,
c_Map_Osko__Map__Xmap__le__def__1__1: ( $i * $i * $i * $i ) > $i ).
tff(v_c,type,
v_c: $i ).
tff(v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2,type,
v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2: ( $i * $i * $i * $i ) > $i ).
tff(v_G,type,
v_G: $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(c_Finite__Set_Olattice_OSup__fin,type,
c_Finite__Set_Olattice_OSup__fin: ( $i * $i * $i ) > $i ).
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(c_ATP__Linkup_Osko__Finite__Set__Xab__semigroup__mult__Xfold1__in__1__1,type,
c_ATP__Linkup_Osko__Finite__Set__Xab__semigroup__mult__Xfold1__in__1__1: ( $i * $i ) > $i ).
tff(class_Lattices_Olattice,type,
class_Lattices_Olattice: $i > $o ).
tff(class_OrderedGroup_Oab__semigroup__add,type,
class_OrderedGroup_Oab__semigroup__add: $i > $o ).
tff(v_sko__Hoare__Mirabelle__Xconseq12__1,type,
v_sko__Hoare__Mirabelle__Xconseq12__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(c_Lattices_Oupper__semilattice__class_Osup,type,
c_Lattices_Oupper__semilattice__class_Osup: $i > $i ).
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(class_Ring__and__Field_Ono__zero__divisors,type,
class_Ring__and__Field_Ono__zero__divisors: $i > $o ).
tff(c_OrderedGroup_Oab__semigroup__mult,type,
c_OrderedGroup_Oab__semigroup__mult: ( $i * $i ) > $o ).
tff(c_Finite__Set_Olattice__class_OInf__fin,type,
c_Finite__Set_Olattice__class_OInf__fin: $i > $i ).
tff(class_Ring__and__Field_Opordered__ring,type,
class_Ring__and__Field_Opordered__ring: $i > $o ).
tff(c_Complete__Lattice_OInf__class_OInf,type,
c_Complete__Lattice_OInf__class_OInf: ( $i * $i ) > $i ).
tff(v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__3,type,
v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__3: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(c_Orderings_Obot__class_Obot,type,
c_Orderings_Obot__class_Obot: $i > $i ).
tff(c_Set_Ovimage,type,
c_Set_Ovimage: ( $i * $i * $i * $i ) > $i ).
tff(c_Finite__Set_Olattice_OInf__fin,type,
c_Finite__Set_Olattice_OInf__fin: ( $i * $i * $i ) > $i ).
tff(tc_Option_Ooption,type,
tc_Option_Ooption: $i > $i ).
tff(c_Hoare__Mirabelle_Otriple_Otriple,type,
c_Hoare__Mirabelle_Otriple_Otriple: ( $i * $i * $i * $i ) > $i ).
tff(c_Lattices_Olower__semilattice__class_Oinf,type,
c_Lattices_Olower__semilattice__class_Oinf: $i > $i ).
tff(class_Ring__and__Field_Oordered__ring__strict,type,
class_Ring__and__Field_Oordered__ring__strict: $i > $o ).
tff(c_Map_Omap__add,type,
c_Map_Omap__add: ( $i * $i * $i * $i ) > $i ).
tff(c_Finite__Set_Ofold,type,
c_Finite__Set_Ofold: ( $i * $i * $i * $i * $i ) > $i ).
tff(c_Orderings_Olinorder,type,
c_Orderings_Olinorder: ( $i * $i * $i ) > $o ).
tff(c_Com_Ocom_OSKIP,type,
c_Com_Ocom_OSKIP: $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(tc_Com_Ocom,type,
tc_Com_Ocom: $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_Ofield,type,
class_Ring__and__Field_Ofield: $i > $o ).
tff(c_Option_Othe,type,
c_Option_Othe: ( $i * $i ) > $i ).
tff(c_ATP__Linkup_Osko__Finite__Set__Xlinorder__class__XMin__eqI__1__1,type,
c_ATP__Linkup_Osko__Finite__Set__Xlinorder__class__XMin__eqI__1__1: ( $i * $i * $i ) > $i ).
tff(class_Ring__and__Field_Oordered__idom,type,
class_Ring__and__Field_Oordered__idom: $i > $o ).
tff(class_OrderedGroup_Ocancel__semigroup__add,type,
class_OrderedGroup_Ocancel__semigroup__add: $i > $o ).
tff(v_sko__Hoare__Mirabelle__Xconseq2__2,type,
v_sko__Hoare__Mirabelle__Xconseq2__2: ( $i * $i ) > $i ).
tff(v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__3,type,
v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__3: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(tc_nat,type,
tc_nat: $i ).
tff(c_Finite__Set_Ocard,type,
c_Finite__Set_Ocard: ( $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(v_sko__Hoare__Mirabelle__Xconseq12__2,type,
v_sko__Hoare__Mirabelle__Xconseq12__2: ( $i * $i * $i * $i ) > $i ).
tff(c_ATP__Linkup_Osko__Finite__Set__Xlinorder__class__XMax__eqI__1__1,type,
c_ATP__Linkup_Osko__Finite__Set__Xlinorder__class__XMax__eqI__1__1: ( $i * $i * $i ) > $i ).
tff(c_Finite__Set_Ofold__graph,type,
c_Finite__Set_Ofold__graph: ( $i * $i * $i * $i * $i ) > $i ).
tff(c_Map_Orestrict__map,type,
c_Map_Orestrict__map: ( $i * $i * $i * $i ) > $i ).
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_Hoare__Mirabelle_Ohoare__derivs,type,
c_Hoare__Mirabelle_Ohoare__derivs: ( $i * $i * $i ) > $o ).
tff(tc_bool,type,
tc_bool: $i ).
tff(class_OrderedGroup_Omonoid__add,type,
class_OrderedGroup_Omonoid__add: $i > $o ).
tff(c_Map_Odom,type,
c_Map_Odom: ( $i * $i * $i ) > $i ).
tff(c_Fun_Ofun__upd,type,
c_Fun_Ofun__upd: ( $i * $i * $i * $i * $i ) > $i ).
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(tc_Com_Opname,type,
tc_Com_Opname: $i ).
tff(v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__2,type,
v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__2: ( $i * $i * $i * $i ) > $i ).
tff(c_ATP__Linkup_Osko__Finite__Set__Xab__semigroup__mult__Xfold1__in__1__2,type,
c_ATP__Linkup_Osko__Finite__Set__Xab__semigroup__mult__Xfold1__in__1__2: ( $i * $i ) > $i ).
tff(class_Ring__and__Field_Opordered__cancel__semiring,type,
class_Ring__and__Field_Opordered__cancel__semiring: $i > $o ).
tff(c_HOL_Otimes__class_Otimes,type,
c_HOL_Otimes__class_Otimes: $i > $i ).
tff(c_lessequals,type,
c_lessequals: $i > $i ).
tff(class_Lattices_Oupper__semilattice,type,
class_Lattices_Oupper__semilattice: $i > $o ).
tff(c_HOL_Ozero__class_Ozero,type,
c_HOL_Ozero__class_Ozero: $i > $i ).
tff(v_sko__Hoare__Mirabelle__Xconseq1__1,type,
v_sko__Hoare__Mirabelle__Xconseq1__1: ( $i * $i ) > $i ).
tff(class_HOL_Oord,type,
class_HOL_Oord: $i > $o ).
tff(v_sko__Hoare__Mirabelle__Xconseq1__2,type,
v_sko__Hoare__Mirabelle__Xconseq1__2: ( $i * $i ) > $i ).
tff(c_Set_Oinsert,type,
c_Set_Oinsert: $i > $i ).
tff(c_Complete__Lattice_Ocomplete__lattice,type,
c_Complete__Lattice_Ocomplete__lattice: ( $i * $i * $i * $i * $i * $i * $i * $i * $i ) > $o ).
tff(c_Finite__Set_Ofold__image,type,
c_Finite__Set_Ofold__image: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(c_Complete__Lattice_OSup__class_OSup,type,
c_Complete__Lattice_OSup__class_OSup: ( $i * $i ) > $i ).
tff(c_Orderings_Oord__class_Omax,type,
c_Orderings_Oord__class_Omax: $i > $i ).
tff(class_Ring__and__Field_Omult__mono1,type,
class_Ring__and__Field_Omult__mono1: $i > $o ).
tff(c_Natural_Oevalc,type,
c_Natural_Oevalc: $i > $i ).
tff(c_in,type,
c_in: $i > $i ).
tff(class_OrderedGroup_Oab__group__add,type,
class_OrderedGroup_Oab__group__add: $i > $o ).
tff(c_Map_Omap__le,type,
c_Map_Omap__le: ( $i * $i * $i * $i ) > $o ).
tff(hAPP,type,
hAPP: ( $i * $i ) > $i ).
tff(c_HOL_Oord__class_Oless,type,
c_HOL_Oord__class_Oless: $i > $i ).
tff(c_Option_Ooption_OSome,type,
c_Option_Ooption_OSome: $i > $i ).
tff(c_Finite__Set_Osetprod,type,
c_Finite__Set_Osetprod: ( $i * $i * $i * $i ) > $i ).
tff(class_Finite__Set_Ofinite_Ofinite,type,
class_Finite__Set_Ofinite_Ofinite: $i > $o ).
tff(class_Lattices_Odistrib__lattice,type,
class_Lattices_Odistrib__lattice: $i > $o ).
tff(v_sko__Hoare__Mirabelle__Xescape__1,type,
v_sko__Hoare__Mirabelle__Xescape__1: ( $i * $i * $i * $i ) > $i ).
tff(c_Finite__Set_Ofinite,type,
c_Finite__Set_Ofinite: ( $i * $i ) > $o ).
tff(c_Hoare__Mirabelle_Ohoare__valids,type,
c_Hoare__Mirabelle_Ohoare__valids: ( $i * $i * $i ) > $o ).
tff(c_Finite__Set_Olinorder__class_OMin,type,
c_Finite__Set_Olinorder__class_OMin: $i > $i ).
tff(class_OrderedGroup_Ogroup__add,type,
class_OrderedGroup_Ogroup__add: $i > $o ).
tff(c_Option_Ooption_Ooption__case,type,
c_Option_Ooption_Ooption__case: ( $i * $i * $i * $i * $i ) > $i ).
tff(hBOOL,type,
hBOOL: $i > $o ).
tff(c_Nitpick_Osko__Nitpick__XEx1__def__1__3,type,
c_Nitpick_Osko__Nitpick__XEx1__def__1__3: ( $i * $i ) > $i ).
tff(class_Ring__and__Field_Omult__mono,type,
class_Ring__and__Field_Omult__mono: $i > $o ).
tff(c_Finite__Set_Olinorder__class_OMax,type,
c_Finite__Set_Olinorder__class_OMax: $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(c_Nitpick_Ofold__graph_H,type,
c_Nitpick_Ofold__graph_H: ( $i * $i * $i * $i * $i * $i ) > $o ).
tff(c_Com_Ocom_OSemi,type,
c_Com_Ocom_OSemi: ( $i * $i ) > $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(c_Finite__Set_Osetsum,type,
c_Finite__Set_Osetsum: ( $i * $i * $i * $i ) > $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(v_sko__Hoare__Mirabelle__Xconseq2__1,type,
v_sko__Hoare__Mirabelle__Xconseq2__1: ( $i * $i ) > $i ).
tff(v_sko__Hoare__Mirabelle__Xconseq12__3,type,
v_sko__Hoare__Mirabelle__Xconseq12__3: ( $i * $i * $i * $i ) > $i ).
tff(c_Hoare__Mirabelle_OMGT,type,
c_Hoare__Mirabelle_OMGT: $i > $i ).
tff(c_OrderedGroup_Oab__semigroup__idem__mult,type,
c_OrderedGroup_Oab__semigroup__idem__mult: ( $i * $i ) > $o ).
tff(tc_Hoare__Mirabelle_Otriple,type,
tc_Hoare__Mirabelle_Otriple: $i > $i ).
tff(c_Com_Obody,type,
c_Com_Obody: $i ).
tff(class_Ring__and__Field_Oordered__semidom,type,
class_Ring__and__Field_Oordered__semidom: $i > $o ).
tff(c_The,type,
c_The: ( $i * $i ) > $i ).
tff(c_Lattices_Olower__semilattice,type,
c_Lattices_Olower__semilattice: ( $i * $i * $i * $i ) > $o ).
tff(c_COMBC,type,
c_COMBC: ( $i * $i * $i * $i ) > $i ).
tff(class_Complete__Lattice_Ocomplete__lattice,type,
class_Complete__Lattice_Ocomplete__lattice: $i > $o ).
tff(c_SetInterval_Oord__class_OatLeastAtMost,type,
c_SetInterval_Oord__class_OatLeastAtMost: ( $i * $i * $i ) > $i ).
tff(c_Set_Ocontents,type,
c_Set_Ocontents: ( $i * $i ) > $i ).
tff(c_Option_Ooption_ONone,type,
c_Option_Ooption_ONone: $i > $i ).
tff(f_7144,axiom,
! [V_s] : hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OSKIP),V_s),V_s)),
file(unknown,unknown) ).
tff(f_7253,axiom,
~ hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OSKIP),v_x),v_x)),
file(unknown,unknown) ).
tff(c_2040,plain,
! [V_s_3907] : hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OSKIP),V_s_3907),V_s_3907)),
inference(cnfTransformation,[status(thm)],[f_7144]) ).
tff(c_2092,plain,
~ hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OSKIP),v_x),v_x)),
inference(cnfTransformation,[status(thm)],[f_7253]) ).
tff(c_2220,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2040,c_2092]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.15 % Problem : SWV875-1 : TPTP v8.1.2. Released v4.1.0.
% 0.00/0.16 % 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
% 0.14/0.37 % Computer : n005.cluster.edu
% 0.14/0.37 % Model : x86_64 x86_64
% 0.14/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.37 % Memory : 8042.1875MB
% 0.14/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.37 % CPULimit : 300
% 0.14/0.37 % WCLimit : 300
% 0.14/0.37 % DateTime : Thu Aug 3 23:11:11 EDT 2023
% 0.14/0.37 % CPUTime :
% 10.11/3.43 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 10.11/3.44
% 10.11/3.44 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 10.11/3.47
% 10.11/3.47 Inference rules
% 10.11/3.47 ----------------------
% 10.11/3.47 #Ref : 0
% 10.11/3.47 #Sup : 0
% 10.11/3.47 #Fact : 0
% 10.11/3.47 #Define : 0
% 10.11/3.47 #Split : 0
% 10.11/3.47 #Chain : 0
% 10.11/3.47 #Close : 0
% 10.11/3.47
% 10.11/3.47 Ordering : KBO
% 10.11/3.47
% 10.11/3.47 Simplification rules
% 10.11/3.47 ----------------------
% 10.11/3.47 #Subsume : 1105
% 10.11/3.47 #Demod : 3
% 10.11/3.47 #Tautology : 2
% 10.11/3.47 #SimpNegUnit : 0
% 10.11/3.47 #BackRed : 0
% 10.11/3.47
% 10.11/3.47 #Partial instantiations: 0
% 10.11/3.47 #Strategies tried : 1
% 10.11/3.47
% 10.11/3.47 Timing (in seconds)
% 10.11/3.47 ----------------------
% 10.11/3.47 Preprocessing : 2.16
% 10.11/3.47 Parsing : 1.22
% 10.11/3.47 CNF conversion : 0.16
% 10.11/3.47 Main loop : 0.22
% 10.11/3.47 Inferencing : 0.00
% 10.11/3.47 Reduction : 0.11
% 10.11/3.47 Demodulation : 0.08
% 10.11/3.47 BG Simplification : 0.19
% 10.11/3.47 Subsumption : 0.07
% 10.11/3.47 Abstraction : 0.04
% 10.11/3.47 MUC search : 0.00
% 10.11/3.47 Cooper : 0.00
% 10.11/3.47 Total : 2.43
% 10.11/3.47 Index Insertion : 0.00
% 10.11/3.47 Index Deletion : 0.00
% 10.11/3.47 Index Matching : 0.00
% 10.11/3.47 BG Taut test : 0.00
%------------------------------------------------------------------------------