TSTP Solution File: SWV879-1 by Beagle---0.9.51
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SWV879-1 : 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 : n032.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 158.23s 116.10s
% Output : CNFRefutation 158.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 113
% Syntax : Number of formulae : 145 ( 30 unt; 99 typ; 0 def)
% Number of atoms : 62 ( 17 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 38 ( 22 ~; 16 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 178 ( 90 >; 88 *; 0 +; 0 <<)
% Number of predicates : 49 ( 47 usr; 1 prp; 0-9 aty)
% Number of functors : 52 ( 52 usr; 9 con; 0-5 aty)
% Number of variables : 88 (; 88 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ c_Complete__Lattice_Ocomplete__lattice > c_Fun_Oinj__on > c_lessequals > c_HOL_Oord__class_Oless > c_Fun_Obij > c_OrderedGroup_Oab__semigroup__mult > c_Finite__Set_Ofinite > v_wt > hBOOL > class_Ring__and__Field_Osemiring > class_Ring__and__Field_Oring > class_Ring__and__Field_Opordered__ring > class_Ring__and__Field_Oordered__ring__strict > class_Ring__and__Field_Oordered__idom > class_Ring__and__Field_Oidom > class_Ring__and__Field_Ocomm__semiring__1 > class_Ring__and__Field_Ocomm__semiring > class_Orderings_Otop > class_Orderings_Opreorder > class_Orderings_Oorder > class_Orderings_Olinorder > class_Orderings_Obot > 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_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__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 > c_Fun_Ofun__upd > c_Finite__Set_Ofold__graph > c_Finite__Set_Ofold > 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 > v_sko__local__Xassms__3__1 > c_Set_Ovimage > c_Set_Oimage > c_Hilbert__Choice_Oinv__into > c_Finite__Set_Osetsum > c_Complete__Lattice_Ocomplete__lattice__class_OSUPR > c_in > c_Set_Oinsert > c_SetInterval_Oord__class_OgreaterThanAtMost > c_SetInterval_Oord__class_OatLeastLessThan > c_SetInterval_Oord__class_OatLeastAtMost > c_HOL_Ominus__class_Ominus > c_Finite__Set_Ofold1Set > c_COMBK > tc_fun > hAPP > c_fequal > c_The > c_Set_Ocontents > 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_Collect > #nlpp > v_mgt > c_Suc > c_Orderings_Otop__class_Otop > c_Orderings_Oord__class_Omin > c_Orderings_Oord__class_Omax > c_Orderings_Obot__class_Obot > c_Lattices_Oupper__semilattice__class_Osup > c_Lattices_Olower__semilattice__class_Oinf > c_HOL_Otimes__class_Otimes > c_HOL_Oplus__class_Oplus > c_Finite__Set_Olinorder__class_OMin > c_Finite__Set_Olinorder__class_OMax > v_x > v_mgt__call > v_U > v_P > v_G > tc_nat > tc_bool > tc_Com_Opname > t_a
%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(c_Set_Oinsert,type,
c_Set_Oinsert: ( $i * $i * $i ) > $i ).
tff(c_Finite__Set_Ofold1,type,
c_Finite__Set_Ofold1: ( $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_Fun_Obij,type,
c_Fun_Obij: ( $i * $i * $i ) > $o ).
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_Orderings_Oord__class_Omin,type,
c_Orderings_Oord__class_Omin: $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(c_Finite__Set_Ofold1Set,type,
c_Finite__Set_Ofold1Set: ( $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_Osemiring,type,
class_Ring__and__Field_Osemiring: $i > $o ).
tff(v_P,type,
v_P: $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(class_OrderedGroup_Oab__semigroup__add,type,
class_OrderedGroup_Oab__semigroup__add: $i > $o ).
tff(v_wt,type,
v_wt: $i > $o ).
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_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(c_Fun_Oinj__on,type,
c_Fun_Oinj__on: ( $i * $i * $i * $i ) > $o ).
tff(c_OrderedGroup_Oab__semigroup__mult,type,
c_OrderedGroup_Oab__semigroup__mult: ( $i * $i ) > $o ).
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(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(v_U,type,
v_U: $i ).
tff(c_in,type,
c_in: ( $i * $i * $i ) > $i ).
tff(c_Lattices_Olower__semilattice__class_Oinf,type,
c_Lattices_Olower__semilattice__class_Oinf: $i > $i ).
tff(c_Collect,type,
c_Collect: ( $i * $i ) > $i ).
tff(class_Ring__and__Field_Oordered__ring__strict,type,
class_Ring__and__Field_Oordered__ring__strict: $i > $o ).
tff(c_Finite__Set_Ofold,type,
c_Finite__Set_Ofold: ( $i * $i * $i * $i * $i ) > $i ).
tff(c_fequal,type,
c_fequal: ( $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(class_Orderings_Otop,type,
class_Orderings_Otop: $i > $o ).
tff(c_Suc,type,
c_Suc: $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(c_lessequals,type,
c_lessequals: ( $i * $i * $i ) > $o ).
tff(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR,type,
c_Complete__Lattice_Ocomplete__lattice__class_OSUPR: ( $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__add,type,
class_OrderedGroup_Ocomm__monoid__add: $i > $o ).
tff(v_sko__local__Xassms__3__1,type,
v_sko__local__Xassms__3__1: ( $i * $i * $i * $i ) > $i ).
tff(c_Finite__Set_Ofold__graph,type,
c_Finite__Set_Ofold__graph: ( $i * $i * $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_Oidom,type,
class_Ring__and__Field_Oidom: $i > $o ).
tff(tc_bool,type,
tc_bool: $i ).
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(tc_Com_Opname,type,
tc_Com_Opname: $i ).
tff(c_HOL_Otimes__class_Otimes,type,
c_HOL_Otimes__class_Otimes: $i > $i ).
tff(class_Lattices_Oupper__semilattice,type,
class_Lattices_Oupper__semilattice: $i > $o ).
tff(c_SetInterval_Oord__class_OatLeastLessThan,type,
c_SetInterval_Oord__class_OatLeastLessThan: ( $i * $i * $i ) > $i ).
tff(class_HOL_Oord,type,
class_HOL_Oord: $i > $o ).
tff(c_Complete__Lattice_Ocomplete__lattice,type,
c_Complete__Lattice_Ocomplete__lattice: ( $i * $i * $i * $i * $i * $i * $i * $i * $i ) > $o ).
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_OrderedGroup_Oab__group__add,type,
class_OrderedGroup_Oab__group__add: $i > $o ).
tff(hAPP,type,
hAPP: ( $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(c_ATP__Linkup_Osko__Set__XimageE__1__1,type,
c_ATP__Linkup_Osko__Set__XimageE__1__1: ( $i * $i * $i * $i * $i ) > $i ).
tff(c_Finite__Set_Ofinite,type,
c_Finite__Set_Ofinite: ( $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(hBOOL,type,
hBOOL: $i > $o ).
tff(v_mgt,type,
v_mgt: $i > $i ).
tff(c_Nitpick_Osko__Nitpick__XEx1__def__1__3,type,
c_Nitpick_Osko__Nitpick__XEx1__def__1__3: ( $i * $i ) > $i ).
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(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_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(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_SetInterval_Oord__class_OgreaterThanAtMost,type,
c_SetInterval_Oord__class_OgreaterThanAtMost: ( $i * $i * $i ) > $i ).
tff(c_Set_Oimage,type,
c_Set_Oimage: ( $i * $i * $i * $i ) > $i ).
tff(c_The,type,
c_The: ( $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(f_5599,axiom,
hBOOL(c_in(v_x,v_U,tc_Com_Opname)),
file(unknown,unknown) ).
tff(f_5525,axiom,
! [V_S,V_x,T_a] :
( hBOOL(hAPP(V_S,V_x))
| ~ hBOOL(c_in(V_x,V_S,T_a)) ),
file(unknown,unknown) ).
tff(f_5520,axiom,
! [V_x,V_S,T_a] :
( hBOOL(c_in(V_x,V_S,T_a))
| ~ hBOOL(hAPP(V_S,V_x)) ),
file(unknown,unknown) ).
tff(f_5569,axiom,
! [V_a,V_A,T_a] :
( ( c_Set_Oinsert(V_a,V_A,T_a) = V_A )
| ~ hBOOL(c_in(V_a,V_A,T_a)) ),
file(unknown,unknown) ).
tff(f_5513,axiom,
! [V_x,V_B,T_a] : hBOOL(c_in(V_x,c_Set_Oinsert(V_x,V_B,T_a),T_a)),
file(unknown,unknown) ).
tff(f_5598,axiom,
v_G = c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),
file(unknown,unknown) ).
tff(f_5555,axiom,
! [T_a,V_A,V_f,T_b,V_x] :
( ( c_Set_Oinsert(hAPP(V_f,V_x),c_Set_Oimage(V_f,V_A,T_a,T_b),T_b) = c_Set_Oimage(V_f,V_A,T_a,T_b) )
| ~ hBOOL(c_in(V_x,V_A,T_a)) ),
file(unknown,unknown) ).
tff(f_5405,axiom,
! [V_x,V_A,T_a] : hBOOL(hAPP(c_Set_Oinsert(V_x,V_A,T_a),V_x)),
file(unknown,unknown) ).
tff(f_4260,axiom,
! [T_a,V_A] : c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool)),
file(unknown,unknown) ).
tff(f_4535,axiom,
! [V_P,T_a] : ( c_Collect(V_P,T_a) = V_P ),
file(unknown,unknown) ).
tff(f_5210,axiom,
! [V_a,T_a] : ( c_Collect(c_fequal(V_a,T_a),T_a) = c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a) ),
file(unknown,unknown) ).
tff(f_4327,axiom,
! [V_a,V_C,T_a,V_D] :
( c_lessequals(c_Set_Oinsert(V_a,V_C,T_a),c_Set_Oinsert(V_a,V_D,T_a),tc_fun(T_a,tc_bool))
| ~ c_lessequals(V_C,V_D,tc_fun(T_a,tc_bool)) ),
file(unknown,unknown) ).
tff(f_4380,axiom,
! [V_G,V_ts] :
( hBOOL(hAPP(hAPP(v_P,V_G),V_ts))
| ~ c_lessequals(V_ts,V_G,tc_fun(t_a,tc_bool)) ),
file(unknown,unknown) ).
tff(f_5601,axiom,
~ hBOOL(hAPP(hAPP(v_P,c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a)),c_Set_Oinsert(hAPP(v_mgt__call,v_x),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a))),
file(unknown,unknown) ).
tff(c_1726,plain,
hBOOL(c_in(v_x,v_U,tc_Com_Opname)),
inference(cnfTransformation,[status(thm)],[f_5599]) ).
tff(c_2443,plain,
! [V_x_3400,V_S_3401,T_a_3402] :
( ~ hBOOL(c_in(V_x_3400,V_S_3401,T_a_3402))
| hBOOL(hAPP(V_S_3401,V_x_3400)) ),
inference(cnfTransformation,[status(thm)],[f_5525]) ).
tff(c_2461,plain,
hBOOL(hAPP(v_U,v_x)),
inference(resolution,[status(thm)],[c_1726,c_2443]) ).
tff(c_1688,plain,
! [V_S_3161,V_x_3160,T_a_3162] :
( ~ hBOOL(hAPP(V_S_3161,V_x_3160))
| hBOOL(c_in(V_x_3160,V_S_3161,T_a_3162)) ),
inference(cnfTransformation,[status(thm)],[f_5520]) ).
tff(c_5634,plain,
! [V_a_3581,V_A_3582,T_a_3583] :
( ~ hBOOL(c_in(V_a_3581,V_A_3582,T_a_3583))
| ( c_Set_Oinsert(V_a_3581,V_A_3582,T_a_3583) = V_A_3582 ) ),
inference(cnfTransformation,[status(thm)],[f_5569]) ).
tff(c_5681,plain,
! [V_x_3584,V_S_3585,T_a_3586] :
( ( c_Set_Oinsert(V_x_3584,V_S_3585,T_a_3586) = V_S_3585 )
| ~ hBOOL(hAPP(V_S_3585,V_x_3584)) ),
inference(resolution,[status(thm)],[c_1688,c_5634]) ).
tff(c_5753,plain,
! [T_a_3589] : ( c_Set_Oinsert(v_x,v_U,T_a_3589) = v_U ),
inference(resolution,[status(thm)],[c_2461,c_5681]) ).
tff(c_1684,plain,
! [V_x_3153,V_B_3154,T_a_3155] : hBOOL(c_in(V_x_3153,c_Set_Oinsert(V_x_3153,V_B_3154,T_a_3155),T_a_3155)),
inference(cnfTransformation,[status(thm)],[f_5513]) ).
tff(c_5769,plain,
! [T_a_3589] : hBOOL(c_in(v_x,v_U,T_a_3589)),
inference(superposition,[status(thm),theory(equality)],[c_5753,c_1684]) ).
tff(c_1724,plain,
c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a) = v_G,
inference(cnfTransformation,[status(thm)],[f_5598]) ).
tff(c_106661,plain,
! [T_a_5591,V_f_5590,T_b_5589,V_A_5588,V_x_5587] :
( ~ hBOOL(c_in(V_x_5587,V_A_5588,T_a_5591))
| ( c_Set_Oinsert(hAPP(V_f_5590,V_x_5587),c_Set_Oimage(V_f_5590,V_A_5588,T_a_5591,T_b_5589),T_b_5589) = c_Set_Oimage(V_f_5590,V_A_5588,T_a_5591,T_b_5589) ) ),
inference(cnfTransformation,[status(thm)],[f_5555]) ).
tff(c_107129,plain,
! [V_x_5587] :
( ~ hBOOL(c_in(V_x_5587,v_U,tc_Com_Opname))
| ( c_Set_Oinsert(hAPP(v_mgt__call,V_x_5587),v_G,t_a) = c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a) ) ),
inference(superposition,[status(thm),theory(equality)],[c_1724,c_106661]) ).
tff(c_326254,plain,
! [V_x_7946] :
( ~ hBOOL(c_in(V_x_7946,v_U,tc_Com_Opname))
| ( c_Set_Oinsert(hAPP(v_mgt__call,V_x_7946),v_G,t_a) = v_G ) ),
inference(demodulation,[status(thm),theory(equality)],[c_1724,c_107129]) ).
tff(c_326310,plain,
c_Set_Oinsert(hAPP(v_mgt__call,v_x),v_G,t_a) = v_G,
inference(resolution,[status(thm)],[c_5769,c_326254]) ).
tff(c_1632,plain,
! [V_x_3072,V_A_3073,T_a_3074] : hBOOL(hAPP(c_Set_Oinsert(V_x_3072,V_A_3073,T_a_3074),V_x_3072)),
inference(cnfTransformation,[status(thm)],[f_5405]) ).
tff(c_134237,plain,
! [V_x_5978,V_A_5979,T_a_5980,T_a_5981] : ( c_Set_Oinsert(V_x_5978,c_Set_Oinsert(V_x_5978,V_A_5979,T_a_5980),T_a_5981) = c_Set_Oinsert(V_x_5978,V_A_5979,T_a_5980) ),
inference(resolution,[status(thm)],[c_1632,c_5681]) ).
tff(c_1232,plain,
! [T_a_2272,V_A_2273] : c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(T_a_2272,tc_bool)),V_A_2273,tc_fun(T_a_2272,tc_bool)),
inference(cnfTransformation,[status(thm)],[f_4260]) ).
tff(c_1330,plain,
! [V_P_2482,T_a_2483] : ( c_Collect(V_P_2482,T_a_2483) = V_P_2482 ),
inference(cnfTransformation,[status(thm)],[f_4535]) ).
tff(c_1548,plain,
! [V_a_2912,T_a_2913] : ( c_Set_Oinsert(V_a_2912,c_Orderings_Obot__class_Obot(tc_fun(T_a_2913,tc_bool)),T_a_2913) = c_Collect(c_fequal(V_a_2912,T_a_2913),T_a_2913) ),
inference(cnfTransformation,[status(thm)],[f_5210]) ).
tff(c_1904,plain,
! [V_a_2912,T_a_2913] : ( c_Set_Oinsert(V_a_2912,c_Orderings_Obot__class_Obot(tc_fun(T_a_2913,tc_bool)),T_a_2913) = c_fequal(V_a_2912,T_a_2913) ),
inference(demodulation,[status(thm),theory(equality)],[c_1330,c_1548]) ).
tff(c_80110,plain,
! [V_C_5246,V_D_5247,T_a_5248,V_a_5249] :
( ~ c_lessequals(V_C_5246,V_D_5247,tc_fun(T_a_5248,tc_bool))
| c_lessequals(c_Set_Oinsert(V_a_5249,V_C_5246,T_a_5248),c_Set_Oinsert(V_a_5249,V_D_5247,T_a_5248),tc_fun(T_a_5248,tc_bool)) ),
inference(cnfTransformation,[status(thm)],[f_4327]) ).
tff(c_80244,plain,
! [T_a_2913,V_D_5247,V_a_2912] :
( ~ c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(T_a_2913,tc_bool)),V_D_5247,tc_fun(T_a_2913,tc_bool))
| c_lessequals(c_fequal(V_a_2912,T_a_2913),c_Set_Oinsert(V_a_2912,V_D_5247,T_a_2913),tc_fun(T_a_2913,tc_bool)) ),
inference(superposition,[status(thm),theory(equality)],[c_1904,c_80110]) ).
tff(c_80284,plain,
! [V_a_2912,T_a_2913,V_D_5247] : c_lessequals(c_fequal(V_a_2912,T_a_2913),c_Set_Oinsert(V_a_2912,V_D_5247,T_a_2913),tc_fun(T_a_2913,tc_bool)),
inference(demodulation,[status(thm),theory(equality)],[c_1232,c_80244]) ).
tff(c_134281,plain,
! [V_x_5978,T_a_5981,V_A_5979,T_a_5980] : c_lessequals(c_fequal(V_x_5978,T_a_5981),c_Set_Oinsert(V_x_5978,V_A_5979,T_a_5980),tc_fun(T_a_5981,tc_bool)),
inference(superposition,[status(thm),theory(equality)],[c_134237,c_80284]) ).
tff(c_326345,plain,
! [T_a_5981] : c_lessequals(c_fequal(hAPP(v_mgt__call,v_x),T_a_5981),v_G,tc_fun(T_a_5981,tc_bool)),
inference(superposition,[status(thm),theory(equality)],[c_326310,c_134281]) ).
tff(c_17220,plain,
! [V_ts_3878,V_G_3879] :
( ~ c_lessequals(V_ts_3878,V_G_3879,tc_fun(t_a,tc_bool))
| hBOOL(hAPP(hAPP(v_P,V_G_3879),V_ts_3878)) ),
inference(cnfTransformation,[status(thm)],[f_4380]) ).
tff(c_1728,plain,
~ hBOOL(hAPP(hAPP(v_P,c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a)),c_Set_Oinsert(hAPP(v_mgt__call,v_x),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a))),
inference(cnfTransformation,[status(thm)],[f_5601]) ).
tff(c_1827,plain,
~ hBOOL(hAPP(hAPP(v_P,v_G),c_Set_Oinsert(hAPP(v_mgt__call,v_x),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a))),
inference(demodulation,[status(thm),theory(equality)],[c_1724,c_1728]) ).
tff(c_1853,plain,
~ hBOOL(hAPP(hAPP(v_P,v_G),c_Collect(c_fequal(hAPP(v_mgt__call,v_x),t_a),t_a))),
inference(demodulation,[status(thm),theory(equality)],[c_1548,c_1827]) ).
tff(c_1890,plain,
~ hBOOL(hAPP(hAPP(v_P,v_G),c_fequal(hAPP(v_mgt__call,v_x),t_a))),
inference(demodulation,[status(thm),theory(equality)],[c_1330,c_1853]) ).
tff(c_17231,plain,
~ c_lessequals(c_fequal(hAPP(v_mgt__call,v_x),t_a),v_G,tc_fun(t_a,tc_bool)),
inference(resolution,[status(thm)],[c_17220,c_1890]) ).
tff(c_332840,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_326345,c_17231]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWV879-1 : TPTP v8.1.2. Released v4.1.0.
% 0.00/0.13 % 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
% 0.15/0.32 % Computer : n032.cluster.edu
% 0.15/0.32 % Model : x86_64 x86_64
% 0.15/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.32 % Memory : 8042.1875MB
% 0.15/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.32 % CPULimit : 300
% 0.15/0.32 % WCLimit : 300
% 0.15/0.32 % DateTime : Thu Aug 3 22:42:51 EDT 2023
% 0.15/0.32 % CPUTime :
% 158.23/116.10 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 158.23/116.11
% 158.23/116.11 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 158.23/116.14
% 158.23/116.14 Inference rules
% 158.23/116.14 ----------------------
% 158.23/116.14 #Ref : 27
% 158.23/116.14 #Sup : 77268
% 158.23/116.14 #Fact : 16
% 158.23/116.14 #Define : 0
% 158.23/116.14 #Split : 21
% 158.23/116.14 #Chain : 0
% 158.23/116.14 #Close : 0
% 158.23/116.14
% 158.23/116.14 Ordering : KBO
% 158.23/116.14
% 158.23/116.14 Simplification rules
% 158.23/116.14 ----------------------
% 158.23/116.14 #Subsume : 16537
% 158.23/116.14 #Demod : 34281
% 158.23/116.14 #Tautology : 12151
% 158.23/116.14 #SimpNegUnit : 1087
% 158.23/116.14 #BackRed : 21
% 158.23/116.14
% 158.23/116.14 #Partial instantiations: 0
% 158.23/116.14 #Strategies tried : 1
% 158.23/116.14
% 158.23/116.14 Timing (in seconds)
% 158.23/116.14 ----------------------
% 158.23/116.15 Preprocessing : 1.75
% 158.23/116.15 Parsing : 0.94
% 158.23/116.15 CNF conversion : 0.15
% 158.23/116.15 Main loop : 113.35
% 158.23/116.15 Inferencing : 12.52
% 158.23/116.15 Reduction : 58.69
% 158.23/116.15 Demodulation : 48.35
% 158.23/116.15 BG Simplification : 1.09
% 158.23/116.15 Subsumption : 32.30
% 158.23/116.15 Abstraction : 1.31
% 158.23/116.15 MUC search : 0.00
% 158.23/116.15 Cooper : 0.00
% 158.23/116.15 Total : 115.17
% 158.23/116.15 Index Insertion : 0.00
% 158.23/116.15 Index Deletion : 0.00
% 158.23/116.15 Index Matching : 0.00
% 158.23/116.15 BG Taut test : 0.00
%------------------------------------------------------------------------------