TSTP Solution File: SWV779-1 by Beagle---0.9.51
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SWV779-1 : 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 : n013.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 7.14s 3.11s
% Output : CNFRefutation 7.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 105
% Syntax : Number of formulae : 108 ( 5 unt; 103 typ; 0 def)
% Number of atoms : 5 ( 4 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 2 ( 2 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 206 ( 95 >; 111 *; 0 +; 0 <<)
% Number of predicates : 23 ( 21 usr; 1 prp; 0-5 aty)
% Number of functors : 82 ( 82 usr; 8 con; 0-5 aty)
% Number of variables : 2 (; 2 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ c_List_Olist__all2 > c_List_Olistrelp > c_Fun_Oinj__on > c_lessequals > c_List_Olistsp > c_List_Olist__ex > c_List_Olist__all > c_List_Onull > c_List_Olinorder__class_Osorted > c_List_Odistinct > hBOOL > class_Orderings_Opreorder > class_Orderings_Oorder > class_Orderings_Olinorder > class_OrderedGroup_Opordered__ab__group__add > class_OrderedGroup_Ocomm__monoid__add > class_OrderedGroup_Oab__group__add > class_HOL_Oord > class_Divides_Osemiring__div > class_Divides_Oring__div > c_NS__Shared__Mirabelle_Ons__sharedp > c_Message_Oagent_Oagent__rec > c_Message_Oagent_Oagent__case > c_Map_Omap__upds > c_List_Olist_Olist__rec > c_List_Olist_Olist__case > c_List_Ofoldr > c_List_Ofoldl > c_Message_Osko__Message__Xagent__Xcase__cong__1__1 > c_List_Omap > c_List_Olist__update > c_List_Ofiltermap > c_Finite__Set_Osetsum > v_sko__Message__Xagent__Xsplit__asm__1 > v_sko__Message__Xagent__Xsplit__1 > c_Set_Oinsert > c_List_Otake > c_List_Osublist > c_List_Orotate > c_List_Oreplicate > c_List_Oremove1 > c_List_Olist__inter > c_List_Olist_OCons > c_List_Ofilter > c_List_OdropWhile > c_List_Odrop > c_List_Oappend > c_HOL_Ominus__class_Ominus > c_Event_Oevent_OSays > c_Divides_Odiv__class_Omod > tc_fun > hAPP > c_Nat_Osize__class_Osize > c_List_Otl > c_List_Oset > c_List_Orotate1 > c_List_Oremdups > c_List_Olistsum > c_List_Olast > c_List_Ohd > c_List_Obutlast > c_Event_Oknows > c_Event_Oevent_OGets > #nlpp > v_sko__List__Xzip__Xinduct__2 > v_sko__List__Xzip__Xinduct__1 > v_sko__List__Xtake__Xinduct__2 > v_sko__List__XtakeWhile__Xinduct__2 > v_sko__List__XtakeWhile__Xinduct__1 > v_sko__List__XremoveAll__Xinduct__2 > v_sko__List__XremoveAll__Xinduct__1 > v_sko__List__Xremove1__Xinduct__2 > v_sko__List__Xremove1__Xinduct__1 > v_sko__List__Xmap__Xinduct__2 > v_sko__List__Xlistsum__Xinduct__2 > v_sko__List__Xlistsum__Xinduct__1 > v_sko__List__Xlistset__Xinduct__2 > v_sko__List__Xlistset__Xinduct__1 > v_sko__List__Xlist__update__Xinduct__2 > v_sko__List__Xlist__update__Xinduct__1 > v_sko__List__Xlist__Xinduct__2 > v_sko__List__Xlist__Xinduct__1 > v_sko__List__Xlast__Xinduct__2 > v_sko__List__Xlast__Xinduct__1 > v_sko__List__Xfoldl__Xinduct__2 > v_sko__List__XdropWhile__Xinduct__2 > v_sko__List__XdropWhile__Xinduct__1 > v_sko__List__Xdistinct__Xinduct__2 > v_sko__List__Xdistinct__Xinduct__1 > v_sko__List__Xconcat__Xinduct__2 > tc_List_Olist > c_fequal > c_Message_Oagent_OFriend > c_List_Orev > c_List_Olist_ONil > c_Event_OinitState > tc_nat > tc_bool > tc_Message_Omsg > tc_Event_Oevent > t_b > t_a > c_Message_Oagent_OSpy > c_Message_Oagent_OServer
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(c_List_Olist__inter,type,
c_List_Olist__inter: ( $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(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_List_Olist_ONil,type,
c_List_Olist_ONil: $i > $i ).
tff(c_List_Odistinct,type,
c_List_Odistinct: ( $i * $i ) > $o ).
tff(c_fequal,type,
c_fequal: $i > $i ).
tff(v_sko__List__XtakeWhile__Xinduct__2,type,
v_sko__List__XtakeWhile__Xinduct__2: $i > $i ).
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(c_List_Onull,type,
c_List_Onull: ( $i * $i ) > $o ).
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(c_Event_OinitState,type,
c_Event_OinitState: $i > $i ).
tff(c_List_Olist__all,type,
c_List_Olist__all: ( $i * $i * $i ) > $o ).
tff(c_Map_Omap__upds,type,
c_Map_Omap__upds: ( $i * $i * $i * $i * $i ) > $i ).
tff(v_sko__List__Xlistsum__Xinduct__2,type,
v_sko__List__Xlistsum__Xinduct__2: $i > $i ).
tff(v_sko__List__Xlast__Xinduct__2,type,
v_sko__List__Xlast__Xinduct__2: $i > $i ).
tff(c_List_Obutlast,type,
c_List_Obutlast: ( $i * $i ) > $i ).
tff(t_a,type,
t_a: $i ).
tff(v_sko__List__Xdistinct__Xinduct__2,type,
v_sko__List__Xdistinct__Xinduct__2: $i > $i ).
tff(c_Message_Oagent_OSpy,type,
c_Message_Oagent_OSpy: $i ).
tff(v_sko__List__Xlistset__Xinduct__2,type,
v_sko__List__Xlistset__Xinduct__2: $i > $i ).
tff(c_List_Ofoldl,type,
c_List_Ofoldl: ( $i * $i * $i * $i * $i ) > $i ).
tff(class_Orderings_Oorder,type,
class_Orderings_Oorder: $i > $o ).
tff(class_Orderings_Opreorder,type,
class_Orderings_Opreorder: $i > $o ).
tff(c_List_Olistsp,type,
c_List_Olistsp: ( $i * $i * $i ) > $o ).
tff(v_sko__List__XremoveAll__Xinduct__1,type,
v_sko__List__XremoveAll__Xinduct__1: $i > $i ).
tff(c_Fun_Oinj__on,type,
c_Fun_Oinj__on: ( $i * $i * $i * $i ) > $o ).
tff(v_sko__List__Xlistsum__Xinduct__1,type,
v_sko__List__Xlistsum__Xinduct__1: $i > $i ).
tff(tc_Event_Oevent,type,
tc_Event_Oevent: $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(v_sko__List__XdropWhile__Xinduct__2,type,
v_sko__List__XdropWhile__Xinduct__2: $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_Ofoldr,type,
c_List_Ofoldr: ( $i * $i * $i * $i * $i ) > $i ).
tff(v_sko__List__Xlast__Xinduct__1,type,
v_sko__List__Xlast__Xinduct__1: $i > $i ).
tff(c_List_Olist__ex,type,
c_List_Olist__ex: ( $i * $i * $i ) > $o ).
tff(c_List_Oremdups,type,
c_List_Oremdups: ( $i * $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(v_sko__List__Xlistset__Xinduct__1,type,
v_sko__List__Xlistset__Xinduct__1: $i > $i ).
tff(c_List_Olistsum,type,
c_List_Olistsum: ( $i * $i ) > $i ).
tff(class_Divides_Oring__div,type,
class_Divides_Oring__div: $i > $o ).
tff(c_lessequals,type,
c_lessequals: ( $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_Divides_Odiv__class_Omod,type,
c_Divides_Odiv__class_Omod: ( $i * $i * $i ) > $i ).
tff(c_List_Oremove1,type,
c_List_Oremove1: ( $i * $i * $i ) > $i ).
tff(v_sko__List__Xlist__update__Xinduct__1,type,
v_sko__List__Xlist__update__Xinduct__1: $i > $i ).
tff(v_sko__List__XdropWhile__Xinduct__1,type,
v_sko__List__XdropWhile__Xinduct__1: $i > $i ).
tff(class_OrderedGroup_Ocomm__monoid__add,type,
class_OrderedGroup_Ocomm__monoid__add: $i > $o ).
tff(v_sko__Message__Xagent__Xsplit__1,type,
v_sko__Message__Xagent__Xsplit__1: ( $i * $i * $i ) > $i ).
tff(v_sko__List__Xtake__Xinduct__2,type,
v_sko__List__Xtake__Xinduct__2: $i > $i ).
tff(tc_fun,type,
tc_fun: ( $i * $i ) > $i ).
tff(v_sko__List__Xlist__update__Xinduct__2,type,
v_sko__List__Xlist__update__Xinduct__2: $i > $i ).
tff(c_List_Olist__all2,type,
c_List_Olist__all2: ( $i * $i * $i * $i * $i ) > $o ).
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(tc_Message_Omsg,type,
tc_Message_Omsg: $i ).
tff(c_List_Orotate,type,
c_List_Orotate: ( $i * $i * $i ) > $i ).
tff(c_List_Osublist,type,
c_List_Osublist: ( $i * $i * $i ) > $i ).
tff(v_sko__List__Xconcat__Xinduct__2,type,
v_sko__List__Xconcat__Xinduct__2: $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_List_Orev,type,
c_List_Orev: $i > $i ).
tff(v_sko__List__Xzip__Xinduct__1,type,
v_sko__List__Xzip__Xinduct__1: $i > $i ).
tff(class_OrderedGroup_Oab__group__add,type,
class_OrderedGroup_Oab__group__add: $i > $o ).
tff(hAPP,type,
hAPP: ( $i * $i ) > $i ).
tff(c_List_Odrop,type,
c_List_Odrop: ( $i * $i * $i ) > $i ).
tff(v_sko__List__Xfoldl__Xinduct__2,type,
v_sko__List__Xfoldl__Xinduct__2: $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(v_sko__List__Xzip__Xinduct__2,type,
v_sko__List__Xzip__Xinduct__2: $i > $i ).
tff(c_List_Olist_OCons,type,
c_List_Olist_OCons: ( $i * $i * $i ) > $i ).
tff(hBOOL,type,
hBOOL: $i > $o ).
tff(class_Divides_Osemiring__div,type,
class_Divides_Osemiring__div: $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_sko__List__Xdistinct__Xinduct__1,type,
v_sko__List__Xdistinct__Xinduct__1: $i > $i ).
tff(c_List_Olist_Olist__rec,type,
c_List_Olist_Olist__rec: ( $i * $i * $i * $i * $i ) > $i ).
tff(c_List_Otake,type,
c_List_Otake: ( $i * $i * $i ) > $i ).
tff(v_sko__List__Xlist__Xinduct__1,type,
v_sko__List__Xlist__Xinduct__1: $i > $i ).
tff(c_HOL_Ominus__class_Ominus,type,
c_HOL_Ominus__class_Ominus: ( $i * $i * $i ) > $i ).
tff(c_Message_Oagent_Oagent__case,type,
c_Message_Oagent_Oagent__case: ( $i * $i * $i * $i * $i ) > $i ).
tff(c_Finite__Set_Osetsum,type,
c_Finite__Set_Osetsum: ( $i * $i * $i * $i ) > $i ).
tff(class_OrderedGroup_Opordered__ab__group__add,type,
class_OrderedGroup_Opordered__ab__group__add: $i > $o ).
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__XremoveAll__Xinduct__2,type,
v_sko__List__XremoveAll__Xinduct__2: $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(v_sko__List__XtakeWhile__Xinduct__1,type,
v_sko__List__XtakeWhile__Xinduct__1: $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_2000,axiom,
! [T_a] : ( hAPP(c_List_Orev(T_a),c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a) ),
file(unknown,unknown) ).
tff(f_2002,axiom,
c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_ONil(tc_Event_Oevent)) != c_Event_Oknows(c_Message_Oagent_OSpy,hAPP(c_List_Orev(tc_Event_Oevent),c_List_Olist_ONil(tc_Event_Oevent))),
file(unknown,unknown) ).
tff(c_856,plain,
! [T_a_1478] : ( hAPP(c_List_Orev(T_a_1478),c_List_Olist_ONil(T_a_1478)) = c_List_Olist_ONil(T_a_1478) ),
inference(cnfTransformation,[status(thm)],[f_2000]) ).
tff(c_858,plain,
c_Event_Oknows(c_Message_Oagent_OSpy,hAPP(c_List_Orev(tc_Event_Oevent),c_List_Olist_ONil(tc_Event_Oevent))) != c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_ONil(tc_Event_Oevent)),
inference(cnfTransformation,[status(thm)],[f_2002]) ).
tff(c_888,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_856,c_858]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SWV779-1 : TPTP v8.1.2. Released v4.1.0.
% 0.00/0.12 % 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
% 0.10/0.32 % Computer : n013.cluster.edu
% 0.10/0.32 % Model : x86_64 x86_64
% 0.10/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32 % Memory : 8042.1875MB
% 0.10/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32 % CPULimit : 300
% 0.10/0.32 % WCLimit : 300
% 0.10/0.32 % DateTime : Thu Aug 3 22:49:17 EDT 2023
% 0.10/0.32 % CPUTime :
% 7.14/3.11 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 7.14/3.11
% 7.14/3.11 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 7.14/3.15
% 7.14/3.15 Inference rules
% 7.14/3.15 ----------------------
% 7.14/3.15 #Ref : 0
% 7.14/3.15 #Sup : 0
% 7.14/3.15 #Fact : 0
% 7.14/3.15 #Define : 0
% 7.14/3.15 #Split : 0
% 7.14/3.15 #Chain : 0
% 7.14/3.15 #Close : 0
% 7.14/3.15
% 7.14/3.15 Ordering : KBO
% 7.14/3.15
% 7.14/3.15 Simplification rules
% 7.14/3.15 ----------------------
% 7.14/3.15 #Subsume : 442
% 7.14/3.15 #Demod : 1
% 7.14/3.16 #Tautology : 0
% 7.14/3.16 #SimpNegUnit : 0
% 7.14/3.16 #BackRed : 0
% 7.14/3.16
% 7.14/3.16 #Partial instantiations: 0
% 7.14/3.16 #Strategies tried : 1
% 7.14/3.16
% 7.14/3.16 Timing (in seconds)
% 7.14/3.16 ----------------------
% 7.14/3.16 Preprocessing : 1.75
% 7.14/3.16 Parsing : 0.94
% 7.14/3.16 CNF conversion : 0.15
% 7.14/3.16 Main loop : 0.15
% 7.14/3.16 Inferencing : 0.00
% 7.14/3.16 Reduction : 0.06
% 7.14/3.16 Demodulation : 0.04
% 7.14/3.16 BG Simplification : 0.15
% 7.14/3.16 Subsumption : 0.06
% 7.14/3.16 Abstraction : 0.04
% 7.14/3.16 MUC search : 0.00
% 7.14/3.16 Cooper : 0.00
% 7.14/3.16 Total : 1.96
% 7.14/3.16 Index Insertion : 0.00
% 7.14/3.16 Index Deletion : 0.00
% 7.14/3.16 Index Matching : 0.00
% 7.14/3.16 BG Taut test : 0.00
%------------------------------------------------------------------------------