TSTP Solution File: SWV776-1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SWV776-1 : 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/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% Computer : n001.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 11:05:38 EDT 2023
% Result : Unsatisfiable 26.00s 12.93s
% Output : CNFRefutation 26.00s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 81
% Syntax : Number of formulae : 110 ( 17 unt; 73 typ; 0 def)
% Number of atoms : 57 ( 25 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 46 ( 26 ~; 20 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 145 ( 63 >; 82 *; 0 +; 0 <<)
% Number of predicates : 15 ( 13 usr; 1 prp; 0-3 aty)
% Number of functors : 60 ( 60 usr; 10 con; 0-5 aty)
% Number of variables : 37 (; 37 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ c_lessequals > c_in > c_fequal > c_HOL_Oord__class_Oless > c_List_Olinorder__class_Osorted > c_List_Odistinct > hBOOL > class_Ring__and__Field_Oordered__idom > class_Orderings_Opreorder > class_Orderings_Oorder > class_Orderings_Olinorder > class_HOL_Oord > c_NS__Shared__Mirabelle_Ons__sharedp > c_List_Osko__List__Xappend__eq__Cons__conv__1__1 > c_List_Osko__List__XCons__eq__append__conv__1__1 > c_List_Osko__List__XtakeWhile__cong__1__1 > c_List_Olist__update > c_List_Oconcat__map > c_Set_Oinsert > c_List_OtakeWhile > c_List_Osplice > c_List_Osko__List__XtakeWhile__eq__all__conv__1__1 > c_List_Osko__List__XtakeWhile__append2__1__1 > c_List_Osko__List__Xsplit__list__last__prop__iff__1__5 > c_List_Osko__List__Xsplit__list__first__prop__iff__1__5 > c_List_Osko__List__Xlinorder__class__Xsorted__append__1__2 > c_List_Osko__List__Xlinorder__class__Xsorted__append__1__1 > c_List_Osko__List__Xlinorder__class__Xsorted__Cons__1__1 > c_List_Oreplicate > c_List_Oremove1 > c_List_Olist__inter > c_List_Olist_OCons > c_List_Ofilter > c_List_OdropWhile > c_List_Oappend > c_Event_Osko__Event__Xknows__imp__Says__Gets__Notes__initState__1__1 > c_Event_Oevent_OSays > tc_fun > hAPP > c_Message_Osko__Message__Xanalz__insert__eq__I__1__1 > c_Message_Omsg_OMPair > c_Message_Omsg_OCrypt > c_List_Otl > c_List_Oset > c_List_Orotate1 > c_List_Orev > c_List_Oremdups > c_List_Olength__unique > c_List_Olast > c_List_Ohd > c_List_Obutlast > c_Event_Oknows > c_Event_Oevent_ONotes > c_Event_Oevent_OGets > #nlpp > c_Public_OshrK > c_Message_Osynth > c_Message_Oparts > c_Message_Omsg_OKey > c_Message_OinvKey > c_Message_Oanalz > c_List_Olist_ONil > c_Event_Oused > c_Event_OinitState > v_X > v_A > tc_nat > tc_bool > tc_Message_Omsg > tc_Message_Oagent > tc_Event_Oevent > c_Message_Oagent_OSpy > c_Message_Oagent_OServer > c_Event_Obad
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(c_List_Olist__inter,type,
c_List_Olist__inter: ( $i * $i * $i ) > $i ).
tff(c_List_Osko__List__Xsplit__list__first__prop__iff__1__5,type,
c_List_Osko__List__Xsplit__list__first__prop__iff__1__5: ( $i * $i * $i ) > $i ).
tff(c_Set_Oinsert,type,
c_Set_Oinsert: ( $i * $i * $i ) > $i ).
tff(c_Message_Omsg_OMPair,type,
c_Message_Omsg_OMPair: ( $i * $i ) > $i ).
tff(c_Event_Oknows,type,
c_Event_Oknows: ( $i * $i ) > $i ).
tff(class_Orderings_Olinorder,type,
class_Orderings_Olinorder: $i > $o ).
tff(c_List_Olist_ONil,type,
c_List_Olist_ONil: $i > $i ).
tff(v_X,type,
v_X: $i ).
tff(c_HOL_Oord__class_Oless,type,
c_HOL_Oord__class_Oless: ( $i * $i * $i ) > $o ).
tff(c_List_Odistinct,type,
c_List_Odistinct: ( $i * $i ) > $o ).
tff(c_Public_OshrK,type,
c_Public_OshrK: $i > $i ).
tff(c_List_Oappend,type,
c_List_Oappend: ( $i * $i * $i ) > $i ).
tff(c_Message_Oanalz,type,
c_Message_Oanalz: $i > $i ).
tff(c_List_Osko__List__Xlinorder__class__Xsorted__Cons__1__1,type,
c_List_Osko__List__Xlinorder__class__Xsorted__Cons__1__1: ( $i * $i * $i ) > $i ).
tff(c_List_Oconcat__map,type,
c_List_Oconcat__map: ( $i * $i * $i * $i ) > $i ).
tff(c_List_Ofilter,type,
c_List_Ofilter: ( $i * $i * $i ) > $i ).
tff(c_List_OdropWhile,type,
c_List_OdropWhile: ( $i * $i * $i ) > $i ).
tff(c_List_Orev,type,
c_List_Orev: ( $i * $i ) > $i ).
tff(c_Event_OinitState,type,
c_Event_OinitState: $i > $i ).
tff(c_Event_Obad,type,
c_Event_Obad: $i ).
tff(c_List_Obutlast,type,
c_List_Obutlast: ( $i * $i ) > $i ).
tff(c_List_OtakeWhile,type,
c_List_OtakeWhile: ( $i * $i * $i ) > $i ).
tff(c_Message_Oagent_OSpy,type,
c_Message_Oagent_OSpy: $i ).
tff(class_Orderings_Oorder,type,
class_Orderings_Oorder: $i > $o ).
tff(class_Orderings_Opreorder,type,
class_Orderings_Opreorder: $i > $o ).
tff(c_List_Osko__List__Xlinorder__class__Xsorted__append__1__1,type,
c_List_Osko__List__Xlinorder__class__Xsorted__append__1__1: ( $i * $i * $i ) > $i ).
tff(c_List_Osko__List__XtakeWhile__cong__1__1,type,
c_List_Osko__List__XtakeWhile__cong__1__1: ( $i * $i * $i * $i ) > $i ).
tff(tc_Event_Oevent,type,
tc_Event_Oevent: $i ).
tff(c_List_Osko__List__XtakeWhile__append2__1__1,type,
c_List_Osko__List__XtakeWhile__append2__1__1: ( $i * $i * $i ) > $i ).
tff(c_NS__Shared__Mirabelle_Ons__sharedp,type,
c_NS__Shared__Mirabelle_Ons__sharedp: $i > $o ).
tff(c_List_Otl,type,
c_List_Otl: ( $i * $i ) > $i ).
tff(c_List_Oreplicate,type,
c_List_Oreplicate: ( $i * $i * $i ) > $i ).
tff(c_List_Oset,type,
c_List_Oset: ( $i * $i ) > $i ).
tff(tc_Message_Oagent,type,
tc_Message_Oagent: $i ).
tff(c_List_Oremdups,type,
c_List_Oremdups: ( $i * $i ) > $i ).
tff(c_Message_Osynth,type,
c_Message_Osynth: $i > $i ).
tff(c_List_Olinorder__class_Osorted,type,
c_List_Olinorder__class_Osorted: ( $i * $i ) > $o ).
tff(class_Ring__and__Field_Oordered__idom,type,
class_Ring__and__Field_Oordered__idom: $i > $o ).
tff(c_lessequals,type,
c_lessequals: ( $i * $i * $i ) > $o ).
tff(c_in,type,
c_in: ( $i * $i * $i ) > $o ).
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(c_Event_Oused,type,
c_Event_Oused: $i > $i ).
tff(c_List_Osko__List__Xlinorder__class__Xsorted__append__1__2,type,
c_List_Osko__List__Xlinorder__class__Xsorted__append__1__2: ( $i * $i * $i ) > $i ).
tff(tc_fun,type,
tc_fun: ( $i * $i ) > $i ).
tff(tc_bool,type,
tc_bool: $i ).
tff(c_List_Osko__List__XCons__eq__append__conv__1__1,type,
c_List_Osko__List__XCons__eq__append__conv__1__1: ( $i * $i * $i * $i * $i ) > $i ).
tff(tc_Message_Omsg,type,
tc_Message_Omsg: $i ).
tff(c_List_Osplice,type,
c_List_Osplice: ( $i * $i * $i ) > $i ).
tff(c_Message_Oparts,type,
c_Message_Oparts: $i > $i ).
tff(c_fequal,type,
c_fequal: ( $i * $i * $i ) > $o ).
tff(c_Message_Osko__Message__Xanalz__insert__eq__I__1__1,type,
c_Message_Osko__Message__Xanalz__insert__eq__I__1__1: ( $i * $i ) > $i ).
tff(class_HOL_Oord,type,
class_HOL_Oord: $i > $o ).
tff(c_Message_Omsg_OCrypt,type,
c_Message_Omsg_OCrypt: ( $i * $i ) > $i ).
tff(c_Event_Oevent_ONotes,type,
c_Event_Oevent_ONotes: ( $i * $i ) > $i ).
tff(c_List_Osko__List__Xappend__eq__Cons__conv__1__1,type,
c_List_Osko__List__Xappend__eq__Cons__conv__1__1: ( $i * $i * $i * $i * $i ) > $i ).
tff(hAPP,type,
hAPP: ( $i * $i ) > $i ).
tff(c_Message_Oagent_OServer,type,
c_Message_Oagent_OServer: $i ).
tff(c_List_Olist_OCons,type,
c_List_Olist_OCons: ( $i * $i * $i ) > $i ).
tff(hBOOL,type,
hBOOL: $i > $o ).
tff(c_List_Ohd,type,
c_List_Ohd: ( $i * $i ) > $i ).
tff(c_Event_Oevent_OGets,type,
c_Event_Oevent_OGets: ( $i * $i ) > $i ).
tff(c_List_Orotate1,type,
c_List_Orotate1: ( $i * $i ) > $i ).
tff(c_Message_OinvKey,type,
c_Message_OinvKey: $i > $i ).
tff(v_A,type,
v_A: $i ).
tff(c_Event_Osko__Event__Xknows__imp__Says__Gets__Notes__initState__1__1,type,
c_Event_Osko__Event__Xknows__imp__Says__Gets__Notes__initState__1__1: ( $i * $i * $i ) > $i ).
tff(c_Event_Oevent_OSays,type,
c_Event_Oevent_OSays: ( $i * $i * $i ) > $i ).
tff(c_List_Osko__List__Xsplit__list__last__prop__iff__1__5,type,
c_List_Osko__List__Xsplit__list__last__prop__iff__1__5: ( $i * $i * $i ) > $i ).
tff(c_List_Olast,type,
c_List_Olast: ( $i * $i ) > $i ).
tff(c_Message_Omsg_OKey,type,
c_Message_Omsg_OKey: $i > $i ).
tff(c_List_Osko__List__XtakeWhile__eq__all__conv__1__1,type,
c_List_Osko__List__XtakeWhile__eq__all__conv__1__1: ( $i * $i * $i ) > $i ).
tff(c_List_Olength__unique,type,
c_List_Olength__unique: ( $i * $i ) > $i ).
tff(f_2212,axiom,
! [V_A] : ( c_Event_Oknows(V_A,c_List_Olist_ONil(tc_Event_Oevent)) = c_Event_OinitState(V_A) ),
file(unknown,unknown) ).
tff(f_2448,axiom,
! [V_A,V_X,V_evs] :
( ( c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(V_A,V_X),V_evs,tc_Event_Oevent)) = c_Event_Oknows(c_Message_Oagent_OSpy,V_evs) )
| c_in(V_A,c_Event_Obad,tc_Message_Oagent) ),
file(unknown,unknown) ).
tff(f_2489,axiom,
! [V_x,V_xs,T_a] : ( c_List_Olist_OCons(V_x,V_xs,T_a) = c_List_Oappend(c_List_Olist_ONil(T_a),c_List_Olist_OCons(V_x,V_xs,T_a),T_a) ),
file(unknown,unknown) ).
tff(f_2495,axiom,
( ( c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Oappend(c_List_Olist_ONil(tc_Event_Oevent),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,v_X),c_List_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)) != c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_ONil(tc_Event_Oevent)) )
| c_in(v_A,c_Event_Obad,tc_Message_Oagent) ),
file(unknown,unknown) ).
tff(f_2444,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_2439,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_2432,axiom,
! [V_A,V_X,V_evs] :
( ( c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(V_A,V_X),V_evs,tc_Event_Oevent)) = c_Set_Oinsert(V_X,c_Event_Oknows(c_Message_Oagent_OSpy,V_evs),tc_Message_Omsg) )
| ~ c_in(V_A,c_Event_Obad,tc_Message_Oagent) ),
file(unknown,unknown) ).
tff(f_2500,axiom,
( ( c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Oappend(c_List_Olist_ONil(tc_Event_Oevent),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,v_X),c_List_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)) != c_Set_Oinsert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_ONil(tc_Event_Oevent)),tc_Message_Omsg) )
| ~ c_in(v_A,c_Event_Obad,tc_Message_Oagent) ),
file(unknown,unknown) ).
tff(c_808,plain,
! [V_A_1251] : ( c_Event_Oknows(V_A_1251,c_List_Olist_ONil(tc_Event_Oevent)) = c_Event_OinitState(V_A_1251) ),
inference(cnfTransformation,[status(thm)],[f_2212]) ).
tff(c_940,plain,
! [V_A_1474,V_X_1475,V_evs_1476] :
( c_in(V_A_1474,c_Event_Obad,tc_Message_Oagent)
| ( c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(V_A_1474,V_X_1475),V_evs_1476,tc_Event_Oevent)) = c_Event_Oknows(c_Message_Oagent_OSpy,V_evs_1476) ) ),
inference(cnfTransformation,[status(thm)],[f_2448]) ).
tff(c_964,plain,
! [T_a_1518,V_x_1516,V_xs_1517] : ( c_List_Oappend(c_List_Olist_ONil(T_a_1518),c_List_Olist_OCons(V_x_1516,V_xs_1517,T_a_1518),T_a_1518) = c_List_Olist_OCons(V_x_1516,V_xs_1517,T_a_1518) ),
inference(cnfTransformation,[status(thm)],[f_2489]) ).
tff(c_968,plain,
( c_in(v_A,c_Event_Obad,tc_Message_Oagent)
| ( c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Oappend(c_List_Olist_ONil(tc_Event_Oevent),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,v_X),c_List_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)) != c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_ONil(tc_Event_Oevent)) ) ),
inference(cnfTransformation,[status(thm)],[f_2495]) ).
tff(c_999,plain,
( c_in(v_A,c_Event_Obad,tc_Message_Oagent)
| ( c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,v_X),c_List_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent)) != c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_ONil(tc_Event_Oevent)) ) ),
inference(demodulation,[status(thm),theory(equality)],[c_964,c_968]) ).
tff(c_1028,plain,
( c_in(v_A,c_Event_Obad,tc_Message_Oagent)
| ( c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,v_X),c_List_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent)) != c_Event_OinitState(c_Message_Oagent_OSpy) ) ),
inference(demodulation,[status(thm),theory(equality)],[c_808,c_999]) ).
tff(c_23035,plain,
c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,v_X),c_List_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent)) != c_Event_OinitState(c_Message_Oagent_OSpy),
inference(splitLeft,[status(thm)],[c_1028]) ).
tff(c_23218,plain,
( ( c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_ONil(tc_Event_Oevent)) != c_Event_OinitState(c_Message_Oagent_OSpy) )
| c_in(v_A,c_Event_Obad,tc_Message_Oagent) ),
inference(superposition,[status(thm),theory(equality)],[c_940,c_23035]) ).
tff(c_23220,plain,
c_in(v_A,c_Event_Obad,tc_Message_Oagent),
inference(demodulation,[status(thm),theory(equality)],[c_808,c_23218]) ).
tff(c_938,plain,
! [V_x_1472,V_S_1471,T_a_1473] :
( ~ c_in(V_x_1472,V_S_1471,T_a_1473)
| hBOOL(hAPP(V_S_1471,V_x_1472)) ),
inference(cnfTransformation,[status(thm)],[f_2444]) ).
tff(c_23230,plain,
hBOOL(hAPP(c_Event_Obad,v_A)),
inference(resolution,[status(thm)],[c_23220,c_938]) ).
tff(c_936,plain,
! [V_S_1469,V_x_1468,T_a_1470] :
( ~ hBOOL(hAPP(V_S_1469,V_x_1468))
| c_in(V_x_1468,V_S_1469,T_a_1470) ),
inference(cnfTransformation,[status(thm)],[f_2439]) ).
tff(c_23239,plain,
! [T_a_1470] : c_in(v_A,c_Event_Obad,T_a_1470),
inference(resolution,[status(thm)],[c_23230,c_936]) ).
tff(c_932,plain,
! [V_A_1461,V_X_1462,V_evs_1463] :
( ~ c_in(V_A_1461,c_Event_Obad,tc_Message_Oagent)
| ( c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(V_A_1461,V_X_1462),V_evs_1463,tc_Event_Oevent)) = c_Set_Oinsert(V_X_1462,c_Event_Oknows(c_Message_Oagent_OSpy,V_evs_1463),tc_Message_Omsg) ) ),
inference(cnfTransformation,[status(thm)],[f_2432]) ).
tff(c_970,plain,
( ~ c_in(v_A,c_Event_Obad,tc_Message_Oagent)
| ( c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Oappend(c_List_Olist_ONil(tc_Event_Oevent),c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,v_X),c_List_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)) != c_Set_Oinsert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_ONil(tc_Event_Oevent)),tc_Message_Omsg) ) ),
inference(cnfTransformation,[status(thm)],[f_2500]) ).
tff(c_998,plain,
( ~ c_in(v_A,c_Event_Obad,tc_Message_Oagent)
| ( c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,v_X),c_List_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent)) != c_Set_Oinsert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_ONil(tc_Event_Oevent)),tc_Message_Omsg) ) ),
inference(demodulation,[status(thm),theory(equality)],[c_964,c_970]) ).
tff(c_1027,plain,
( ~ c_in(v_A,c_Event_Obad,tc_Message_Oagent)
| ( c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,v_X),c_List_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent)) != c_Set_Oinsert(v_X,c_Event_OinitState(c_Message_Oagent_OSpy),tc_Message_Omsg) ) ),
inference(demodulation,[status(thm),theory(equality)],[c_808,c_998]) ).
tff(c_33880,plain,
c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,v_X),c_List_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent)) != c_Set_Oinsert(v_X,c_Event_OinitState(c_Message_Oagent_OSpy),tc_Message_Omsg),
inference(demodulation,[status(thm),theory(equality)],[c_23239,c_1027]) ).
tff(c_33883,plain,
( ( c_Set_Oinsert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_ONil(tc_Event_Oevent)),tc_Message_Omsg) != c_Set_Oinsert(v_X,c_Event_OinitState(c_Message_Oagent_OSpy),tc_Message_Omsg) )
| ~ c_in(v_A,c_Event_Obad,tc_Message_Oagent) ),
inference(superposition,[status(thm),theory(equality)],[c_932,c_33880]) ).
tff(c_33889,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_23239,c_808,c_33883]) ).
tff(c_33891,plain,
c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(v_A,v_X),c_List_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent)) = c_Event_OinitState(c_Message_Oagent_OSpy),
inference(splitRight,[status(thm)],[c_1028]) ).
tff(c_33890,plain,
c_in(v_A,c_Event_Obad,tc_Message_Oagent),
inference(splitRight,[status(thm)],[c_1028]) ).
tff(c_33901,plain,
hBOOL(hAPP(c_Event_Obad,v_A)),
inference(resolution,[status(thm)],[c_33890,c_938]) ).
tff(c_33910,plain,
! [T_a_1470] : c_in(v_A,c_Event_Obad,T_a_1470),
inference(resolution,[status(thm)],[c_33901,c_936]) ).
tff(c_44842,plain,
c_Set_Oinsert(v_X,c_Event_OinitState(c_Message_Oagent_OSpy),tc_Message_Omsg) != c_Event_OinitState(c_Message_Oagent_OSpy),
inference(demodulation,[status(thm),theory(equality)],[c_33891,c_33910,c_1027]) ).
tff(c_48679,plain,
! [V_A_3959,V_X_3960,V_evs_3961] :
( ~ c_in(V_A_3959,c_Event_Obad,tc_Message_Oagent)
| ( c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(V_A_3959,V_X_3960),V_evs_3961,tc_Event_Oevent)) = c_Set_Oinsert(V_X_3960,c_Event_Oknows(c_Message_Oagent_OSpy,V_evs_3961),tc_Message_Omsg) ) ),
inference(cnfTransformation,[status(thm)],[f_2432]) ).
tff(c_48701,plain,
( ( c_Set_Oinsert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_ONil(tc_Event_Oevent)),tc_Message_Omsg) = c_Event_OinitState(c_Message_Oagent_OSpy) )
| ~ c_in(v_A,c_Event_Obad,tc_Message_Oagent) ),
inference(superposition,[status(thm),theory(equality)],[c_48679,c_33891]) ).
tff(c_48785,plain,
c_Set_Oinsert(v_X,c_Event_OinitState(c_Message_Oagent_OSpy),tc_Message_Omsg) = c_Event_OinitState(c_Message_Oagent_OSpy),
inference(demodulation,[status(thm),theory(equality)],[c_33910,c_808,c_48701]) ).
tff(c_48787,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_44842,c_48785]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : SWV776-1 : TPTP v8.1.2. Released v4.1.0.
% 0.00/0.15 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.15/0.36 % Computer : n001.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Thu Aug 3 23:40:11 EDT 2023
% 0.15/0.36 % CPUTime :
% 26.00/12.93 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 26.00/12.94
% 26.00/12.94 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 26.00/12.97
% 26.00/12.97 Inference rules
% 26.00/12.97 ----------------------
% 26.00/12.97 #Ref : 31
% 26.00/12.97 #Sup : 11819
% 26.00/12.97 #Fact : 6
% 26.00/12.97 #Define : 0
% 26.00/12.97 #Split : 3
% 26.00/12.97 #Chain : 0
% 26.00/12.97 #Close : 0
% 26.00/12.97
% 26.00/12.97 Ordering : KBO
% 26.00/12.97
% 26.00/12.97 Simplification rules
% 26.00/12.97 ----------------------
% 26.00/12.97 #Subsume : 1776
% 26.00/12.97 #Demod : 5131
% 26.00/12.97 #Tautology : 3552
% 26.00/12.97 #SimpNegUnit : 129
% 26.00/12.97 #BackRed : 0
% 26.00/12.97
% 26.00/12.97 #Partial instantiations: 0
% 26.00/12.97 #Strategies tried : 1
% 26.00/12.97
% 26.00/12.97 Timing (in seconds)
% 26.00/12.97 ----------------------
% 26.00/12.97 Preprocessing : 1.24
% 26.00/12.97 Parsing : 0.67
% 26.00/12.97 CNF conversion : 0.11
% 26.00/12.97 Main loop : 10.52
% 26.00/12.97 Inferencing : 2.02
% 26.00/12.97 Reduction : 5.16
% 26.00/12.97 Demodulation : 4.07
% 26.00/12.97 BG Simplification : 0.19
% 26.00/12.97 Subsumption : 2.46
% 26.00/12.97 Abstraction : 0.17
% 26.00/12.97 MUC search : 0.00
% 26.00/12.97 Cooper : 0.00
% 26.00/12.97 Total : 11.82
% 26.00/12.97 Index Insertion : 0.00
% 26.00/12.97 Index Deletion : 0.00
% 26.00/12.97 Index Matching : 0.00
% 26.00/12.97 BG Taut test : 0.00
%------------------------------------------------------------------------------