TSTP Solution File: SWV884-1 by Beagle---0.9.51
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SWV884-1 : 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 : n004.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 11:05:52 EDT 2023
% Result : Unsatisfiable 87.91s 66.00s
% Output : CNFRefutation 87.98s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 120
% Syntax : Number of formulae : 133 ( 11 unt; 113 typ; 0 def)
% Number of atoms : 31 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 27 ( 16 ~; 11 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 186 ( 104 >; 82 *; 0 +; 0 <<)
% Number of predicates : 67 ( 66 usr; 1 prp; 0-4 aty)
% Number of functors : 47 ( 47 usr; 9 con; 0-5 aty)
% Number of variables : 31 (; 31 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ c_Fun_Oinj__on > c_lessequals > c_in > c_fequal > c_Ring__and__Field_Odvd__class_Odvd > c_HOL_Oord__class_Oless > c_Finite__Set_Ofinite > hBOOL > class_Ring__and__Field_Ozero__neq__one > class_Ring__and__Field_Osemiring__1 > class_Ring__and__Field_Osemiring > class_Ring__and__Field_Oring__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 > 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_Odvd > 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_Orderings_Otop > 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__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__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_Olower__semilattice > class_Lattices_Olattice > class_Lattices_Obounded__lattice > class_Int_Onumber__ring > class_HOL_Oord > class_Finite__Set_Ofinite_Ofinite > class_Divides_Osemiring__div > class_Divides_Oring__div > class_Complete__Lattice_Ocomplete__lattice > c_Fun_Ofun__upd > c_ATP__Linkup_Osko__Set__Xsubset__image__iff__1__1 > c_ATP__Linkup_Osko__Set__Ximage__subset__iff__1__1 > c_ATP__Linkup_Osko__Set__Ximage__subsetI__1__1 > c_ATP__Linkup_Osko__Set__Ximage__iff__1__1 > c_ATP__Linkup_Osko__Set__Ximage__cong__1__1 > c_ATP__Linkup_Osko__Set__XimageE__1__1 > c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__image__1__1 > c_Set_Ovimage > c_Set_Oimage > c_Hilbert__Choice_Oinv__into > c_Set_Oinsert > c_Lattices_Olower__semilattice__class_Oinf > c_HOL_Otimes__class_Otimes > c_HOL_Oplus__class_Oplus > c_HOL_Ominus__class_Ominus > c_Divides_Odiv__class_Omod > c_ATP__Linkup_Osko__Finite__Set__Xcard__eq__SucD__1__2 > c_ATP__Linkup_Osko__Finite__Set__Xcard__Suc__eq__1__2 > tc_fun > hAPP > c_SetInterval_Oord__class_OatLeast > c_Natural_Osko__Natural__XSuc__le__D__lemma__1__1 > c_Nat_Osemiring__1__class_Oof__nat > c_Inductive_Ocomplete__lattice__class_Ogfp > c_Finite__Set_Olinorder__class_OMin > c_Finite__Set_Olinorder__class_OMax > c_Finite__Set_Ocard > c_ATP__Linkup_Osko__Nat__Xorder__class__Xlift__Suc__mono__le__1__1 > c_ATP__Linkup_Osko__Nat__Xinc__induct__1__1 > #nlpp > c_Suc > c_Orderings_Otop__class_Otop > c_Orderings_Obot__class_Obot > c_HOL_Ozero__class_Ozero > c_HOL_Oone__class_Oone > c_ATP__Linkup_Osko__Nat__Xzero__induct__lemma__1__1 > c_ATP__Linkup_Osko__Nat__Xfull__nat__induct__1__1 > c_ATP__Linkup_Osko__Nat__XSuc__le__D__1__1 > v_pn > v_na > v_mgt__call > v_U > v_G > tc_nat > tc_bool > tc_Com_Opname > t_a
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(c_ATP__Linkup_Osko__Nat__Xinc__induct__1__1,type,
c_ATP__Linkup_Osko__Nat__Xinc__induct__1__1: ( $i * $i ) > $i ).
tff(class_OrderedGroup_Oab__semigroup__idem__mult,type,
class_OrderedGroup_Oab__semigroup__idem__mult: $i > $o ).
tff(c_ATP__Linkup_Osko__Set__Ximage__subset__iff__1__1,type,
c_ATP__Linkup_Osko__Set__Ximage__subset__iff__1__1: ( $i * $i * $i * $i * $i ) > $i ).
tff(c_Set_Oinsert,type,
c_Set_Oinsert: ( $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(c_ATP__Linkup_Osko__Set__Ximage__subsetI__1__1,type,
c_ATP__Linkup_Osko__Set__Ximage__subsetI__1__1: ( $i * $i * $i * $i * $i ) > $i ).
tff(class_Int_Onumber__ring,type,
class_Int_Onumber__ring: $i > $o ).
tff(c_Natural_Osko__Natural__XSuc__le__D__lemma__1__1,type,
c_Natural_Osko__Natural__XSuc__le__D__lemma__1__1: ( $i * $i ) > $i ).
tff(c_HOL_Oord__class_Oless,type,
c_HOL_Oord__class_Oless: ( $i * $i * $i ) > $o ).
tff(c_Orderings_Otop__class_Otop,type,
c_Orderings_Otop__class_Otop: $i > $i ).
tff(v_G,type,
v_G: $i ).
tff(c_ATP__Linkup_Osko__Set__Xsubset__image__iff__1__1,type,
c_ATP__Linkup_Osko__Set__Xsubset__image__iff__1__1: ( $i * $i * $i * $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(c_SetInterval_Oord__class_OatLeast,type,
c_SetInterval_Oord__class_OatLeast: ( $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(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_Finite__Set_Olinorder__class_OMin,type,
c_Finite__Set_Olinorder__class_OMin: ( $i * $i ) > $i ).
tff(c_Finite__Set_Olinorder__class_OMax,type,
c_Finite__Set_Olinorder__class_OMax: ( $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_ATP__Linkup_Osko__Finite__Set__Xcard__eq__SucD__1__2,type,
c_ATP__Linkup_Osko__Finite__Set__Xcard__eq__SucD__1__2: ( $i * $i * $i ) > $i ).
tff(class_OrderedGroup_Oab__semigroup__mult,type,
class_OrderedGroup_Oab__semigroup__mult: $i > $o ).
tff(c_Fun_Oinj__on,type,
c_Fun_Oinj__on: ( $i * $i * $i * $i ) > $o ).
tff(class_Ring__and__Field_Ono__zero__divisors,type,
class_Ring__and__Field_Ono__zero__divisors: $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_Set_Ovimage,type,
c_Set_Ovimage: ( $i * $i * $i * $i ) > $i ).
tff(c_ATP__Linkup_Osko__Nat__Xfull__nat__induct__1__1,type,
c_ATP__Linkup_Osko__Nat__Xfull__nat__induct__1__1: $i > $i ).
tff(v_U,type,
v_U: $i ).
tff(v_pn,type,
v_pn: $i ).
tff(class_Ring__and__Field_Oordered__ring__strict,type,
class_Ring__and__Field_Oordered__ring__strict: $i > $o ).
tff(c_Inductive_Ocomplete__lattice__class_Ogfp,type,
c_Inductive_Ocomplete__lattice__class_Ogfp: ( $i * $i ) > $i ).
tff(class_OrderedGroup_Opordered__ab__semigroup__add__imp__le,type,
class_OrderedGroup_Opordered__ab__semigroup__add__imp__le: $i > $o ).
tff(class_Orderings_Otop,type,
class_Orderings_Otop: $i > $o ).
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_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(c_in,type,
c_in: ( $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(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(c_ATP__Linkup_Osko__Finite__Set__Xcard__Suc__eq__1__2,type,
c_ATP__Linkup_Osko__Finite__Set__Xcard__Suc__eq__1__2: ( $i * $i * $i ) > $i ).
tff(c_Hilbert__Choice_Oinv__into,type,
c_Hilbert__Choice_Oinv__into: ( $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(tc_bool,type,
tc_bool: $i ).
tff(class_OrderedGroup_Omonoid__add,type,
class_OrderedGroup_Omonoid__add: $i > $o ).
tff(c_Fun_Ofun__upd,type,
c_Fun_Ofun__upd: ( $i * $i * $i * $i * $i ) > $i ).
tff(v_mgt__call,type,
v_mgt__call: $i ).
tff(class_Ring__and__Field_Ocomm__ring,type,
class_Ring__and__Field_Ocomm__ring: $i > $o ).
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_na,type,
v_na: $i ).
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_HOL_Otimes__class_Otimes,type,
c_HOL_Otimes__class_Otimes: ( $i * $i * $i ) > $i ).
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(c_fequal,type,
c_fequal: ( $i * $i * $i ) > $o ).
tff(class_OrderedGroup_Omonoid__mult,type,
class_OrderedGroup_Omonoid__mult: $i > $o ).
tff(class_HOL_Oord,type,
class_HOL_Oord: $i > $o ).
tff(class_Ring__and__Field_Omult__mono1,type,
class_Ring__and__Field_Omult__mono1: $i > $o ).
tff(class_OrderedGroup_Oab__group__add,type,
class_OrderedGroup_Oab__group__add: $i > $o ).
tff(hAPP,type,
hAPP: ( $i * $i ) > $i ).
tff(c_ATP__Linkup_Osko__Nat__Xorder__class__Xlift__Suc__mono__le__1__1,type,
c_ATP__Linkup_Osko__Nat__Xorder__class__Xlift__Suc__mono__le__1__1: ( $i * $i ) > $i ).
tff(class_Finite__Set_Ofinite_Ofinite,type,
class_Finite__Set_Ofinite_Ofinite: $i > $o ).
tff(c_ATP__Linkup_Osko__Set__XimageE__1__1,type,
c_ATP__Linkup_Osko__Set__XimageE__1__1: ( $i * $i * $i * $i * $i ) > $i ).
tff(class_Ring__and__Field_Oring__1,type,
class_Ring__and__Field_Oring__1: $i > $o ).
tff(c_ATP__Linkup_Osko__Nat__XSuc__le__D__1__1,type,
c_ATP__Linkup_Osko__Nat__XSuc__le__D__1__1: $i > $i ).
tff(c_Finite__Set_Ofinite,type,
c_Finite__Set_Ofinite: ( $i * $i ) > $o ).
tff(c_ATP__Linkup_Osko__Nat__Xzero__induct__lemma__1__1,type,
c_ATP__Linkup_Osko__Nat__Xzero__induct__lemma__1__1: $i > $i ).
tff(class_Ring__and__Field_Odvd,type,
class_Ring__and__Field_Odvd: $i > $o ).
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_ATP__Linkup_Osko__Set__Ximage__cong__1__1,type,
c_ATP__Linkup_Osko__Set__Ximage__cong__1__1: ( $i * $i * $i * $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_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(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(c_ATP__Linkup_Osko__Set__Ximage__iff__1__1,type,
c_ATP__Linkup_Osko__Set__Ximage__iff__1__1: ( $i * $i * $i * $i * $i ) > $i ).
tff(c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__image__1__1,type,
c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__image__1__1: ( $i * $i * $i * $i * $i ) > $i ).
tff(c_Set_Oimage,type,
c_Set_Oimage: ( $i * $i * $i * $i ) > $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(class_Complete__Lattice_Ocomplete__lattice,type,
class_Complete__Lattice_Ocomplete__lattice: $i > $o ).
tff(f_6834,axiom,
c_in(v_pn,v_U,tc_Com_Opname),
file(unknown,unknown) ).
tff(f_6622,axiom,
! [V_S,V_x,T_a] :
( hBOOL(hAPP(V_S,V_x))
| ~ c_in(V_x,V_S,T_a) ),
file(unknown,unknown) ).
tff(f_6617,axiom,
! [V_x,V_S,T_a] :
( c_in(V_x,V_S,T_a)
| ~ hBOOL(hAPP(V_S,V_x)) ),
file(unknown,unknown) ).
tff(f_6821,axiom,
! [T_a,V_A,V_f,T_b,V_x] :
( c_in(hAPP(V_f,V_x),c_Set_Oimage(V_f,V_A,T_a,T_b),T_b)
| ~ c_in(V_x,V_A,T_a) ),
file(unknown,unknown) ).
tff(f_6831,axiom,
c_lessequals(v_G,c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),tc_fun(t_a,tc_bool)),
file(unknown,unknown) ).
tff(f_6430,axiom,
! [V_x,V_A,T_a,V_B] :
( c_lessequals(c_Set_Oinsert(V_x,V_A,T_a),V_B,tc_fun(T_a,tc_bool))
| ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
| ~ c_in(V_x,V_B,T_a) ),
file(unknown,unknown) ).
tff(f_6838,axiom,
~ c_lessequals(c_Set_Oinsert(hAPP(v_mgt__call,v_pn),v_G,t_a),c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),tc_fun(t_a,tc_bool)),
file(unknown,unknown) ).
tff(c_2120,plain,
c_in(v_pn,v_U,tc_Com_Opname),
inference(cnfTransformation,[status(thm)],[f_6834]) ).
tff(c_4031,plain,
! [V_x_3498,V_S_3499,T_a_3500] :
( ~ c_in(V_x_3498,V_S_3499,T_a_3500)
| hBOOL(hAPP(V_S_3499,V_x_3498)) ),
inference(cnfTransformation,[status(thm)],[f_6622]) ).
tff(c_4042,plain,
hBOOL(hAPP(v_U,v_pn)),
inference(resolution,[status(thm)],[c_2120,c_4031]) ).
tff(c_4511,plain,
! [V_S_3518,V_x_3519,T_a_3520] :
( ~ hBOOL(hAPP(V_S_3518,V_x_3519))
| c_in(V_x_3519,V_S_3518,T_a_3520) ),
inference(cnfTransformation,[status(thm)],[f_6617]) ).
tff(c_4518,plain,
! [T_a_3520] : c_in(v_pn,v_U,T_a_3520),
inference(resolution,[status(thm)],[c_4042,c_4511]) ).
tff(c_2108,plain,
! [T_b_3301,T_a_3298,V_x_3302,V_f_3300,V_A_3299] :
( ~ c_in(V_x_3302,V_A_3299,T_a_3298)
| c_in(hAPP(V_f_3300,V_x_3302),c_Set_Oimage(V_f_3300,V_A_3299,T_a_3298,T_b_3301),T_b_3301) ),
inference(cnfTransformation,[status(thm)],[f_6821]) ).
tff(c_2114,plain,
c_lessequals(v_G,c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),tc_fun(t_a,tc_bool)),
inference(cnfTransformation,[status(thm)],[f_6831]) ).
tff(c_234939,plain,
! [V_x_6143,V_B_6144,T_a_6145,V_A_6146] :
( ~ c_in(V_x_6143,V_B_6144,T_a_6145)
| ~ c_lessequals(V_A_6146,V_B_6144,tc_fun(T_a_6145,tc_bool))
| c_lessequals(c_Set_Oinsert(V_x_6143,V_A_6146,T_a_6145),V_B_6144,tc_fun(T_a_6145,tc_bool)) ),
inference(cnfTransformation,[status(thm)],[f_6430]) ).
tff(c_2124,plain,
~ c_lessequals(c_Set_Oinsert(hAPP(v_mgt__call,v_pn),v_G,t_a),c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),tc_fun(t_a,tc_bool)),
inference(cnfTransformation,[status(thm)],[f_6838]) ).
tff(c_234972,plain,
( ~ c_in(hAPP(v_mgt__call,v_pn),c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),t_a)
| ~ c_lessequals(v_G,c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),tc_fun(t_a,tc_bool)) ),
inference(resolution,[status(thm)],[c_234939,c_2124]) ).
tff(c_235077,plain,
~ c_in(hAPP(v_mgt__call,v_pn),c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),t_a),
inference(demodulation,[status(thm),theory(equality)],[c_2114,c_234972]) ).
tff(c_240651,plain,
~ c_in(v_pn,v_U,tc_Com_Opname),
inference(resolution,[status(thm)],[c_2108,c_235077]) ).
tff(c_240655,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_4518,c_240651]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SWV884-1 : TPTP v8.1.2. Released v4.1.0.
% 0.12/0.13 % 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
% 0.14/0.34 % Computer : n004.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Thu Aug 3 22:25:11 EDT 2023
% 0.14/0.34 % CPUTime :
% 87.91/66.00 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 87.91/66.01
% 87.91/66.01 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 87.98/66.04
% 87.98/66.04 Inference rules
% 87.98/66.04 ----------------------
% 87.98/66.04 #Ref : 82
% 87.98/66.04 #Sup : 54285
% 87.98/66.04 #Fact : 12
% 87.98/66.04 #Define : 0
% 87.98/66.04 #Split : 6
% 87.98/66.04 #Chain : 0
% 87.98/66.04 #Close : 0
% 87.98/66.04
% 87.98/66.04 Ordering : KBO
% 87.98/66.04
% 87.98/66.04 Simplification rules
% 87.98/66.04 ----------------------
% 87.98/66.04 #Subsume : 17064
% 87.98/66.04 #Demod : 33038
% 87.98/66.04 #Tautology : 10686
% 87.98/66.04 #SimpNegUnit : 1590
% 87.98/66.04 #BackRed : 18
% 87.98/66.04
% 87.98/66.04 #Partial instantiations: 0
% 87.98/66.04 #Strategies tried : 1
% 87.98/66.04
% 87.98/66.04 Timing (in seconds)
% 87.98/66.04 ----------------------
% 87.98/66.04 Preprocessing : 2.01
% 87.98/66.04 Parsing : 1.12
% 87.98/66.04 CNF conversion : 0.16
% 87.98/66.04 Main loop : 62.97
% 87.98/66.04 Inferencing : 6.28
% 87.98/66.04 Reduction : 31.63
% 87.98/66.04 Demodulation : 23.76
% 87.98/66.04 BG Simplification : 0.68
% 87.98/66.04 Subsumption : 20.60
% 87.98/66.04 Abstraction : 0.78
% 87.98/66.04 MUC search : 0.00
% 87.98/66.04 Cooper : 0.00
% 87.98/66.04 Total : 65.03
% 87.98/66.04 Index Insertion : 0.00
% 87.98/66.04 Index Deletion : 0.00
% 87.98/66.04 Index Matching : 0.00
% 87.98/66.04 BG Taut test : 0.00
%------------------------------------------------------------------------------