TSTP Solution File: SWV772-1 by Beagle---0.9.51
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SWV772-1 : 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 11:05:37 EDT 2023
% Result : Unsatisfiable 6.47s 2.56s
% Output : CNFRefutation 6.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 79
% Syntax : Number of formulae : 84 ( 8 unt; 76 typ; 0 def)
% Number of atoms : 8 ( 7 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 159 ( 66 >; 93 *; 0 +; 0 <<)
% Number of predicates : 15 ( 13 usr; 1 prp; 0-3 aty)
% Number of functors : 63 ( 63 usr; 10 con; 0-5 aty)
% Number of variables : 14 (; 14 !; 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__Xlinorder__class__Xinsort__is__Cons__1__1 > c_List_Osko__List__Xappend__eq__Cons__conv__1__1 > c_List_Osko__List__XCons__eq__append__conv__1__1 > c_List_Olinorder__class_Oinsort__key > 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_OCrypt > c_List_Otl > c_List_Osko__List__Xrev__induct__1__2 > c_List_Osko__List__Xrev__induct__1__1 > c_List_Osko__List__Xrev__cases__1__2 > c_List_Osko__List__Xrev__cases__1__1 > 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_Oanalz > c_List_Olist_ONil > c_Event_Oused > c_Event_OinitState > v_X > v_B > v_A > tc_nat > tc_bool > tc_Message_Omsg > tc_Message_Oagent > tc_Event_Oevent > c_Message_Oagent_OSpy > 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_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_List_Osko__List__Xrev__induct__1__1,type,
c_List_Osko__List__Xrev__induct__1__1: ( $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_List_Osko__List__Xrev__cases__1__1,type,
c_List_Osko__List__Xrev__cases__1__1: ( $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_Osko__List__Xrev__cases__1__2,type,
c_List_Osko__List__Xrev__cases__1__2: ( $i * $i ) > $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_List_Olinorder__class_Oinsort__key,type,
c_List_Olinorder__class_Oinsort__key: ( $i * $i * $i * $i * $i ) > $i ).
tff(c_Event_Oevent_ONotes,type,
c_Event_Oevent_ONotes: ( $i * $i ) > $i ).
tff(c_List_Osko__List__Xlinorder__class__Xinsort__is__Cons__1__1,type,
c_List_Osko__List__Xlinorder__class__Xinsort__is__Cons__1__1: ( $i * $i * $i * $i * $i ) > $i ).
tff(v_B,type,
v_B: $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_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(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_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_Osko__List__Xrev__induct__1__2,type,
c_List_Osko__List__Xrev__induct__1__2: ( $i * $i ) > $i ).
tff(c_List_Olength__unique,type,
c_List_Olength__unique: ( $i * $i ) > $i ).
tff(f_2178,axiom,
! [V_A,V_B,V_X,V_evs] : ( c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_OSays(V_A,V_B,V_X),V_evs,tc_Event_Oevent)) = c_Set_Oinsert(V_X,c_Event_Oknows(c_Message_Oagent_OSpy,V_evs),tc_Message_Omsg) ),
file(unknown,unknown) ).
tff(f_2300,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_2304,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_OSays(v_A,v_B,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),
file(unknown,unknown) ).
tff(c_802,plain,
! [V_A_1281,V_B_1282,V_X_1283,V_evs_1284] : ( c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_OSays(V_A_1281,V_B_1282,V_X_1283),V_evs_1284,tc_Event_Oevent)) = c_Set_Oinsert(V_X_1283,c_Event_Oknows(c_Message_Oagent_OSpy,V_evs_1284),tc_Message_Omsg) ),
inference(cnfTransformation,[status(thm)],[f_2178]) ).
tff(c_872,plain,
! [T_a_1403,V_x_1401,V_xs_1402] : ( c_List_Oappend(c_List_Olist_ONil(T_a_1403),c_List_Olist_OCons(V_x_1401,V_xs_1402,T_a_1403),T_a_1403) = c_List_Olist_OCons(V_x_1401,V_xs_1402,T_a_1403) ),
inference(cnfTransformation,[status(thm)],[f_2300]) ).
tff(c_876,plain,
c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Oappend(c_List_Olist_ONil(tc_Event_Oevent),c_List_Olist_OCons(c_Event_Oevent_OSays(v_A,v_B,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_2304]) ).
tff(c_901,plain,
c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_OSays(v_A,v_B,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_872,c_876]) ).
tff(c_912,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_802,c_901]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWV772-1 : 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
% 0.13/0.34 % Computer : n004.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Thu Aug 3 22:53:11 EDT 2023
% 0.13/0.34 % CPUTime :
% 6.47/2.56 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.47/2.57
% 6.47/2.57 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 6.49/2.59
% 6.49/2.59 Inference rules
% 6.49/2.59 ----------------------
% 6.49/2.59 #Ref : 0
% 6.49/2.59 #Sup : 0
% 6.49/2.59 #Fact : 0
% 6.49/2.59 #Define : 0
% 6.49/2.59 #Split : 0
% 6.49/2.59 #Chain : 0
% 6.49/2.59 #Close : 0
% 6.49/2.59
% 6.49/2.59 Ordering : KBO
% 6.49/2.59
% 6.49/2.59 Simplification rules
% 6.49/2.59 ----------------------
% 6.49/2.59 #Subsume : 440
% 6.49/2.59 #Demod : 11
% 6.49/2.59 #Tautology : 9
% 6.49/2.59 #SimpNegUnit : 0
% 6.49/2.59 #BackRed : 0
% 6.49/2.59
% 6.49/2.59 #Partial instantiations: 0
% 6.49/2.59 #Strategies tried : 1
% 6.49/2.59
% 6.49/2.59 Timing (in seconds)
% 6.49/2.59 ----------------------
% 6.49/2.60 Preprocessing : 1.30
% 6.49/2.60 Parsing : 0.70
% 6.49/2.60 CNF conversion : 0.12
% 6.49/2.60 Main loop : 0.14
% 6.49/2.60 Inferencing : 0.00
% 6.49/2.60 Reduction : 0.07
% 6.49/2.60 Demodulation : 0.05
% 6.49/2.60 BG Simplification : 0.11
% 6.49/2.60 Subsumption : 0.05
% 6.49/2.60 Abstraction : 0.02
% 6.49/2.60 MUC search : 0.00
% 6.49/2.60 Cooper : 0.00
% 6.49/2.60 Total : 1.49
% 6.49/2.60 Index Insertion : 0.00
% 6.49/2.60 Index Deletion : 0.00
% 6.49/2.60 Index Matching : 0.00
% 6.49/2.60 BG Taut test : 0.00
%------------------------------------------------------------------------------