TSTP Solution File: SWV781-1 by Beagle---0.9.51
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SWV781-1 : 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 : n010.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 6.89s 2.85s
% Output : CNFRefutation 7.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 100
% Syntax : Number of formulae : 105 ( 8 unt; 97 typ; 0 def)
% Number of atoms : 8 ( 2 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 197 ( 86 >; 111 *; 0 +; 0 <<)
% Number of predicates : 16 ( 14 usr; 1 prp; 0-4 aty)
% Number of functors : 83 ( 83 usr; 11 con; 0-5 aty)
% Number of variables : 8 (; 8 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ c_List_Olistrelp > c_lessequals > c_in > c_fequal > c_List_Olinorder__class_Osorted > c_List_Odistinct > hBOOL > 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_Message_Oagent_Oagent__rec > c_Message_Oagent_Oagent__case > c_Map_Omap__upds > c_List_Osko__List__Xappend__eq__Cons__conv__1__1 > c_List_Osko__List__XCons__eq__append__conv__1__1 > c_List_Olist_Olist__case > c_Message_Osko__Message__Xagent__Xcase__cong__1__1 > c_List_Osko__List__XtakeWhile__cong__1__1 > c_List_Omap > c_List_Olist__update > c_List_Ofiltermap > c_ATP__Linkup_Osko__Orderings__Xle__fun__def__1__1 > c_ATP__Linkup_Osko__Orderings__Xle__funI__1__1 > v_sko__Message__Xagent__Xsplit__asm__1 > v_sko__Message__Xagent__Xsplit__1 > c_Set_Oinsert > c_SetInterval_Oord__class_OatLeastLessThan > c_SetInterval_Oord__class_OatLeastAtMost > c_List_OtakeWhile > c_List_Osko__List__XtakeWhile__eq__all__conv__1__1 > c_List_Osko__List__Xlinorder__class__Xsorted__Cons__1__1 > c_List_Osko__List__Xfilter__eq__Cons__iff__1__3 > c_List_Osko__List__XCons__eq__filter__iff__1__3 > c_List_Orotate > c_List_Oreplicate > c_List_Oremove1 > c_List_Olist_OCons > c_List_Ofilter > c_List_OdropWhile > c_List_Oappend > c_Lattices_Oupper__semilattice__class_Osup > c_Event_Oevent_OSays > tc_fun > hAPP > c_SetInterval_Oord__class_OlessThan > c_SetInterval_Oord__class_OgreaterThan > c_SetInterval_Oord__class_OatMost > c_SetInterval_Oord__class_OatLeast > c_Nat_Osize__class_Osize > c_List_Oset > c_List_Orotate1 > c_List_Orev > c_List_Oremdups > c_List_Olast > c_List_Obutlast > c_Event_Oknows > c_Event_Oevent_ONotes > c_Event_Oevent_OGets > c_COMBI > #nlpp > v_sko__Public__XinitState__Xinduct__1 > v_sko__Message__Xagent__Xinducts__1 > v_sko__Message__Xagent__Xinduct__1 > v_sko__List__Xremove1__Xinduct__2 > v_sko__List__Xremove1__Xinduct__1 > v_sko__List__Xmap__Xinduct__2 > v_sko__List__Xmap__Xinduct__1 > v_sko__List__Xlist__Xinduct__2 > v_sko__List__Xlist__Xinduct__1 > v_sko__List__Xdistinct__Xinduct__2 > v_sko__List__Xdistinct__Xinduct__1 > v_sko__List__Xconcat__Xinduct__2 > v_sko__List__Xconcat__Xinduct__1 > tc_List_Olist > c_Message_Osynth > c_Message_Osko__Message__Xagent__Xnchotomy__1__1 > c_Message_Osko__Message__Xagent__Xexhaust__1__1 > c_Message_Oparts > c_Message_Oanalz > c_Message_Oagent_OFriend > c_List_Olist_ONil > c_Event_Oused > c_Event_OinitState > v_P > tc_nat > tc_bool > tc_Message_Omsg > tc_Message_Oagent > tc_Event_Oevent > t_b > t_a > c_Message_Oagent_OSpy > c_Message_Oagent_OServer > c_Event_Obad
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(c_Set_Oinsert,type,
c_Set_Oinsert: ( $i * $i * $i ) > $i ).
tff(c_Event_Oknows,type,
c_Event_Oknows: ( $i * $i ) > $i ).
tff(c_List_Ofiltermap,type,
c_List_Ofiltermap: ( $i * $i * $i * $i ) > $i ).
tff(c_Message_Oagent_OFriend,type,
c_Message_Oagent_OFriend: $i > $i ).
tff(class_Orderings_Olinorder,type,
class_Orderings_Olinorder: $i > $o ).
tff(c_SetInterval_Oord__class_OlessThan,type,
c_SetInterval_Oord__class_OlessThan: ( $i * $i ) > $i ).
tff(c_List_Olist_ONil,type,
c_List_Olist_ONil: $i > $i ).
tff(c_List_Odistinct,type,
c_List_Odistinct: ( $i * $i ) > $o ).
tff(c_List_Oappend,type,
c_List_Oappend: ( $i * $i * $i ) > $i ).
tff(c_Nat_Osize__class_Osize,type,
c_Nat_Osize__class_Osize: ( $i * $i ) > $i ).
tff(v_sko__Message__Xagent__Xinduct__1,type,
v_sko__Message__Xagent__Xinduct__1: $i > $i ).
tff(c_Message_Oanalz,type,
c_Message_Oanalz: $i > $i ).
tff(c_ATP__Linkup_Osko__Orderings__Xle__fun__def__1__1,type,
c_ATP__Linkup_Osko__Orderings__Xle__fun__def__1__1: ( $i * $i * $i * $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(v_P,type,
v_P: $i ).
tff(c_SetInterval_Oord__class_OatLeast,type,
c_SetInterval_Oord__class_OatLeast: ( $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(v_sko__List__Xremove1__Xinduct__1,type,
v_sko__List__Xremove1__Xinduct__1: $i > $i ).
tff(class_Lattices_Olattice,type,
class_Lattices_Olattice: $i > $o ).
tff(c_List_Orev,type,
c_List_Orev: ( $i * $i ) > $i ).
tff(v_sko__Public__XinitState__Xinduct__1,type,
v_sko__Public__XinitState__Xinduct__1: $i > $i ).
tff(c_Event_OinitState,type,
c_Event_OinitState: $i > $i ).
tff(c_Event_Obad,type,
c_Event_Obad: $i ).
tff(v_sko__List__Xconcat__Xinduct__1,type,
v_sko__List__Xconcat__Xinduct__1: $i > $i ).
tff(c_Map_Omap__upds,type,
c_Map_Omap__upds: ( $i * $i * $i * $i * $i ) > $i ).
tff(v_sko__List__Xmap__Xinduct__1,type,
v_sko__List__Xmap__Xinduct__1: $i > $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(v_sko__List__Xdistinct__Xinduct__2,type,
v_sko__List__Xdistinct__Xinduct__2: $i > $i ).
tff(c_SetInterval_Oord__class_OgreaterThan,type,
c_SetInterval_Oord__class_OgreaterThan: ( $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__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_Lattices_Oupper__semilattice__class_Osup,type,
c_Lattices_Oupper__semilattice__class_Osup: ( $i * $i * $i ) > $i ).
tff(c_ATP__Linkup_Osko__Orderings__Xle__funI__1__1,type,
c_ATP__Linkup_Osko__Orderings__Xle__funI__1__1: ( $i * $i * $i * $i ) > $i ).
tff(c_NS__Shared__Mirabelle_Ons__sharedp,type,
c_NS__Shared__Mirabelle_Ons__sharedp: $i > $o ).
tff(c_Message_Osko__Message__Xagent__Xexhaust__1__1,type,
c_Message_Osko__Message__Xagent__Xexhaust__1__1: $i > $i ).
tff(c_List_Oreplicate,type,
c_List_Oreplicate: ( $i * $i * $i ) > $i ).
tff(c_Message_Osko__Message__Xagent__Xcase__cong__1__1,type,
c_Message_Osko__Message__Xagent__Xcase__cong__1__1: ( $i * $i * $i * $i ) > $i ).
tff(c_List_Oset,type,
c_List_Oset: ( $i * $i ) > $i ).
tff(c_List_Osko__List__XCons__eq__filter__iff__1__3,type,
c_List_Osko__List__XCons__eq__filter__iff__1__3: ( $i * $i * $i ) > $i ).
tff(v_sko__Message__Xagent__Xinducts__1,type,
v_sko__Message__Xagent__Xinducts__1: $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(tc_List_Olist,type,
tc_List_Olist: $i > $i ).
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_COMBI,type,
c_COMBI: ( $i * $i ) > $i ).
tff(v_sko__Message__Xagent__Xsplit__1,type,
v_sko__Message__Xagent__Xsplit__1: ( $i * $i * $i ) > $i ).
tff(tc_fun,type,
tc_fun: ( $i * $i ) > $i ).
tff(c_List_Osko__List__Xfilter__eq__Cons__iff__1__3,type,
c_List_Osko__List__Xfilter__eq__Cons__iff__1__3: ( $i * $i * $i ) > $i ).
tff(tc_bool,type,
tc_bool: $i ).
tff(c_List_Olist_Olist__case,type,
c_List_Olist_Olist__case: ( $i * $i * $i * $i * $i ) > $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_Orotate,type,
c_List_Orotate: ( $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(v_sko__List__Xconcat__Xinduct__2,type,
v_sko__List__Xconcat__Xinduct__2: $i > $i ).
tff(c_fequal,type,
c_fequal: ( $i * $i * $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(v_sko__List__Xremove1__Xinduct__2,type,
v_sko__List__Xremove1__Xinduct__2: $i > $i ).
tff(c_Message_Osko__Message__Xagent__Xnchotomy__1__1,type,
c_Message_Osko__Message__Xagent__Xnchotomy__1__1: $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(v_sko__Message__Xagent__Xsplit__asm__1,type,
v_sko__Message__Xagent__Xsplit__asm__1: ( $i * $i * $i ) > $i ).
tff(c_Message_Oagent_OServer,type,
c_Message_Oagent_OServer: $i ).
tff(v_sko__List__Xlist__Xinduct__2,type,
v_sko__List__Xlist__Xinduct__2: $i > $i ).
tff(c_Message_Oagent_Oagent__rec,type,
c_Message_Oagent_Oagent__rec: ( $i * $i * $i * $i * $i ) > $i ).
tff(c_List_Olist_OCons,type,
c_List_Olist_OCons: ( $i * $i * $i ) > $i ).
tff(c_SetInterval_Oord__class_OatMost,type,
c_SetInterval_Oord__class_OatMost: ( $i * $i ) > $i ).
tff(hBOOL,type,
hBOOL: $i > $o ).
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_sko__List__Xdistinct__Xinduct__1,type,
v_sko__List__Xdistinct__Xinduct__1: $i > $i ).
tff(v_sko__List__Xlist__Xinduct__1,type,
v_sko__List__Xlist__Xinduct__1: $i > $i ).
tff(c_Message_Oagent_Oagent__case,type,
c_Message_Oagent_Oagent__case: ( $i * $i * $i * $i * $i ) > $i ).
tff(t_b,type,
t_b: $i ).
tff(c_Event_Oevent_OSays,type,
c_Event_Oevent_OSays: ( $i * $i * $i ) > $i ).
tff(v_sko__List__Xmap__Xinduct__2,type,
v_sko__List__Xmap__Xinduct__2: $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_SetInterval_Oord__class_OatLeastAtMost,type,
c_SetInterval_Oord__class_OatLeastAtMost: ( $i * $i * $i ) > $i ).
tff(c_List_Olistrelp,type,
c_List_Olistrelp: ( $i * $i * $i * $i ) > $o ).
tff(c_List_Omap,type,
c_List_Omap: ( $i * $i * $i * $i ) > $i ).
tff(f_2567,axiom,
! [V_x,T_a] : c_lessequals(V_x,V_x,tc_fun(T_a,tc_bool)),
file(unknown,unknown) ).
tff(f_2591,axiom,
! [V_P,T_a] : ( c_List_OtakeWhile(V_P,c_List_Olist_ONil(T_a),T_a) = c_List_Olist_ONil(T_a) ),
file(unknown,unknown) ).
tff(f_2650,axiom,
~ c_lessequals(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_OtakeWhile(v_P,c_List_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent)),c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_ONil(tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
file(unknown,unknown) ).
tff(c_1034,plain,
! [V_x_1715,T_a_1716] : c_lessequals(V_x_1715,V_x_1715,tc_fun(T_a_1716,tc_bool)),
inference(cnfTransformation,[status(thm)],[f_2567]) ).
tff(c_1040,plain,
! [V_P_1725,T_a_1726] : ( c_List_OtakeWhile(V_P_1725,c_List_Olist_ONil(T_a_1726),T_a_1726) = c_List_Olist_ONil(T_a_1726) ),
inference(cnfTransformation,[status(thm)],[f_2591]) ).
tff(c_1054,plain,
~ c_lessequals(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_OtakeWhile(v_P,c_List_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent)),c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_ONil(tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(cnfTransformation,[status(thm)],[f_2650]) ).
tff(c_1091,plain,
~ c_lessequals(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_ONil(tc_Event_Oevent)),c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_ONil(tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(demodulation,[status(thm),theory(equality)],[c_1040,c_1054]) ).
tff(c_1093,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_1034,c_1091]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.14 % Problem : SWV781-1 : TPTP v8.1.2. Released v4.1.0.
% 0.13/0.14 % 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 : n010.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 22:20:43 EDT 2023
% 0.14/0.36 % CPUTime :
% 6.89/2.85 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.89/2.86
% 6.89/2.86 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 7.21/2.88
% 7.21/2.88 Inference rules
% 7.21/2.88 ----------------------
% 7.21/2.88 #Ref : 0
% 7.21/2.88 #Sup : 0
% 7.21/2.88 #Fact : 0
% 7.21/2.88 #Define : 0
% 7.21/2.88 #Split : 0
% 7.21/2.88 #Chain : 0
% 7.21/2.88 #Close : 0
% 7.21/2.88
% 7.21/2.88 Ordering : KBO
% 7.21/2.88
% 7.21/2.88 Simplification rules
% 7.21/2.88 ----------------------
% 7.21/2.88 #Subsume : 544
% 7.21/2.88 #Demod : 2
% 7.21/2.88 #Tautology : 0
% 7.21/2.88 #SimpNegUnit : 0
% 7.21/2.88 #BackRed : 0
% 7.21/2.88
% 7.21/2.88 #Partial instantiations: 0
% 7.21/2.88 #Strategies tried : 1
% 7.21/2.88
% 7.21/2.88 Timing (in seconds)
% 7.21/2.88 ----------------------
% 7.21/2.89 Preprocessing : 1.58
% 7.21/2.89 Parsing : 0.93
% 7.21/2.89 CNF conversion : 0.12
% 7.21/2.89 Main loop : 0.14
% 7.21/2.89 Inferencing : 0.00
% 7.21/2.89 Reduction : 0.07
% 7.21/2.89 Demodulation : 0.05
% 7.21/2.89 BG Simplification : 0.11
% 7.21/2.89 Subsumption : 0.05
% 7.21/2.89 Abstraction : 0.03
% 7.21/2.89 MUC search : 0.00
% 7.21/2.89 Cooper : 0.00
% 7.21/2.89 Total : 1.76
% 7.21/2.89 Index Insertion : 0.00
% 7.21/2.89 Index Deletion : 0.00
% 7.21/2.89 Index Matching : 0.00
% 7.21/2.89 BG Taut test : 0.00
%------------------------------------------------------------------------------