TSTP Solution File: SWV774-1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SWV774-1 : 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 : n031.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 6.12s 2.40s
% Output : CNFRefutation 6.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 75
% Syntax : Number of formulae : 80 ( 8 unt; 72 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 : 4 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 142 ( 61 >; 81 *; 0 +; 0 <<)
% Number of predicates : 16 ( 14 usr; 1 prp; 0-3 aty)
% Number of functors : 58 ( 58 usr; 11 con; 0-5 aty)
% Number of variables : 12 (; 12 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ c_lessequals > c_in > c_fequal > c_HOL_Oord__class_Oless > c_List_Olinorder__class_Osorted > hBOOL > class_Ring__and__Field_Oordered__idom > class_Orderings_Opreorder > class_Orderings_Oorder > class_Orderings_Olinorder > class_Lattices_Oupper__semilattice > class_Lattices_Olattice > 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_Event_Oevent_Oevent__rec > c_Event_Oevent_Oevent__case > c_List_Oconcat__map > c_Set_Oinsert > c_List_OtakeWhile > c_List_Osplice > 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__Cons__1__1 > c_List_Oreplicate > c_List_Olist_OCons > c_List_OdropWhile > c_List_Oappend > c_Lattices_Oupper__semilattice__class_Osup > 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_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_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_ONonce > 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 > t_a > c_Message_Oagent_OSpy > c_Message_Oagent_OServer > c_Event_Obad
%Foreground sorts:
%Background operators:
%Foreground operators:
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_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_OdropWhile,type,
c_List_OdropWhile: ( $i * $i * $i ) > $i ).
tff(class_Lattices_Olattice,type,
class_Lattices_Olattice: $i > $o ).
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(t_a,type,
t_a: $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_Event_Oevent_Oevent__rec,type,
c_Event_Oevent_Oevent__rec: ( $i * $i * $i * $i * $i ) > $i ).
tff(tc_Event_Oevent,type,
tc_Event_Oevent: $i ).
tff(c_Lattices_Oupper__semilattice__class_Osup,type,
c_Lattices_Oupper__semilattice__class_Osup: ( $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_Event_Oevent_Oevent__case,type,
c_Event_Oevent_Oevent__case: ( $i * $i * $i * $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_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(tc_nat,type,
tc_nat: $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(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(class_Lattices_Oupper__semilattice,type,
class_Lattices_Oupper__semilattice: $i > $o ).
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(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_Omsg_ONonce,type,
c_Message_Omsg_ONonce: $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__Xrev__induct__1__2,type,
c_List_Osko__List__Xrev__induct__1__2: ( $i * $i ) > $i ).
tff(f_2436,axiom,
! [V_A,V_X,V_evs] : ( c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_OGets(V_A,V_X),V_evs,tc_Event_Oevent)) = c_Event_Oknows(c_Message_Oagent_OSpy,V_evs) ),
file(unknown,unknown) ).
tff(f_2478,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_2482,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_OGets(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)),
file(unknown,unknown) ).
tff(c_930,plain,
! [V_A_1526,V_X_1527,V_evs_1528] : ( c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_OGets(V_A_1526,V_X_1527),V_evs_1528,tc_Event_Oevent)) = c_Event_Oknows(c_Message_Oagent_OSpy,V_evs_1528) ),
inference(cnfTransformation,[status(thm)],[f_2436]) ).
tff(c_962,plain,
! [T_a_1577,V_x_1575,V_xs_1576] : ( c_List_Oappend(c_List_Olist_ONil(T_a_1577),c_List_Olist_OCons(V_x_1575,V_xs_1576,T_a_1577),T_a_1577) = c_List_Olist_OCons(V_x_1575,V_xs_1576,T_a_1577) ),
inference(cnfTransformation,[status(thm)],[f_2478]) ).
tff(c_966,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_OGets(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_2482]) ).
tff(c_1003,plain,
c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_OGets(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_962,c_966]) ).
tff(c_1013,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_930,c_1003]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.14 % Problem : SWV774-1 : TPTP v8.1.2. Released v4.1.0.
% 0.13/0.15 % 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
% 0.14/0.36 % Computer : n031.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Thu Aug 3 23:04:30 EDT 2023
% 0.14/0.36 % CPUTime :
% 6.12/2.40 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.12/2.40
% 6.12/2.40 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 6.12/2.43
% 6.12/2.43 Inference rules
% 6.12/2.43 ----------------------
% 6.12/2.43 #Ref : 0
% 6.12/2.43 #Sup : 0
% 6.12/2.43 #Fact : 0
% 6.12/2.43 #Define : 0
% 6.12/2.43 #Split : 0
% 6.12/2.43 #Chain : 0
% 6.12/2.43 #Close : 0
% 6.12/2.43
% 6.12/2.43 Ordering : KBO
% 6.12/2.43
% 6.12/2.43 Simplification rules
% 6.12/2.43 ----------------------
% 6.12/2.43 #Subsume : 492
% 6.12/2.43 #Demod : 10
% 6.12/2.43 #Tautology : 8
% 6.12/2.43 #SimpNegUnit : 0
% 6.12/2.43 #BackRed : 0
% 6.12/2.43
% 6.12/2.43 #Partial instantiations: 0
% 6.12/2.43 #Strategies tried : 1
% 6.12/2.43
% 6.12/2.43 Timing (in seconds)
% 6.12/2.43 ----------------------
% 6.12/2.43 Preprocessing : 1.23
% 6.12/2.43 Parsing : 0.68
% 6.12/2.43 CNF conversion : 0.11
% 6.12/2.43 Main loop : 0.14
% 6.12/2.43 Inferencing : 0.00
% 6.12/2.43 Reduction : 0.07
% 6.12/2.43 Demodulation : 0.05
% 6.12/2.43 BG Simplification : 0.11
% 6.12/2.43 Subsumption : 0.05
% 6.12/2.43 Abstraction : 0.02
% 6.12/2.43 MUC search : 0.00
% 6.12/2.43 Cooper : 0.00
% 6.12/2.43 Total : 1.42
% 6.12/2.43 Index Insertion : 0.00
% 6.12/2.43 Index Deletion : 0.00
% 6.12/2.43 Index Matching : 0.00
% 6.12/2.43 BG Taut test : 0.00
%------------------------------------------------------------------------------