TSTP Solution File: SWV781-1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SWV781-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% Computer : n007.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 : Thu Aug 31 21:48:08 EDT 2023
% Result : Unsatisfiable 0.56s 0.64s
% Output : CNFRefutation 0.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 100
% Syntax : Number of formulae : 104 ( 7 unt; 97 typ; 0 def)
% Number of atoms : 7 ( 2 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 2 ( 1 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 ( 4 sgn; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
hAPP: ( $i * $i ) > $i ).
tff(decl_23,type,
hBOOL: $i > $o ).
tff(decl_24,type,
c_List_OtakeWhile: ( $i * $i * $i ) > $i ).
tff(decl_25,type,
c_List_Oset: ( $i * $i ) > $i ).
tff(decl_26,type,
c_in: ( $i * $i * $i ) > $o ).
tff(decl_27,type,
c_Map_Omap__upds: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_28,type,
c_List_Olist__update: ( $i * $i * $i * $i ) > $i ).
tff(decl_29,type,
tc_bool: $i ).
tff(decl_30,type,
tc_fun: ( $i * $i ) > $i ).
tff(decl_31,type,
c_lessequals: ( $i * $i * $i ) > $o ).
tff(decl_32,type,
c_List_Olist_OCons: ( $i * $i * $i ) > $i ).
tff(decl_33,type,
c_List_Odistinct: ( $i * $i ) > $o ).
tff(decl_34,type,
c_List_Oappend: ( $i * $i * $i ) > $i ).
tff(decl_35,type,
c_List_Oremove1: ( $i * $i * $i ) > $i ).
tff(decl_36,type,
c_List_Oremdups: ( $i * $i ) > $i ).
tff(decl_37,type,
c_List_Obutlast: ( $i * $i ) > $i ).
tff(decl_38,type,
tc_List_Olist: $i > $i ).
tff(decl_39,type,
c_Nat_Osize__class_Osize: ( $i * $i ) > $i ).
tff(decl_40,type,
tc_Message_Omsg: $i ).
tff(decl_41,type,
c_Lattices_Oupper__semilattice__class_Osup: ( $i * $i * $i ) > $i ).
tff(decl_42,type,
c_Message_Oanalz: $i > $i ).
tff(decl_43,type,
c_List_OdropWhile: ( $i * $i * $i ) > $i ).
tff(decl_44,type,
c_List_Olist_ONil: $i > $i ).
tff(decl_45,type,
c_List_Olast: ( $i * $i ) > $i ).
tff(decl_46,type,
c_List_Osko__List__XtakeWhile__cong__1__1: ( $i * $i * $i * $i ) > $i ).
tff(decl_47,type,
c_List_Ofilter: ( $i * $i * $i ) > $i ).
tff(decl_48,type,
c_Message_Oparts: $i > $i ).
tff(decl_49,type,
c_Set_Oinsert: ( $i * $i * $i ) > $i ).
tff(decl_50,type,
c_List_Orev: ( $i * $i ) > $i ).
tff(decl_51,type,
c_List_Oreplicate: ( $i * $i * $i ) > $i ).
tff(decl_52,type,
c_List_Orotate1: ( $i * $i ) > $i ).
tff(decl_53,type,
c_List_Orotate: ( $i * $i * $i ) > $i ).
tff(decl_54,type,
c_List_Omap: ( $i * $i * $i * $i ) > $i ).
tff(decl_55,type,
c_Message_Osynth: $i > $i ).
tff(decl_56,type,
class_Orderings_Olinorder: $i > $o ).
tff(decl_57,type,
c_List_Olinorder__class_Osorted: ( $i * $i ) > $o ).
tff(decl_58,type,
c_List_Osko__List__XtakeWhile__eq__all__conv__1__1: ( $i * $i * $i ) > $i ).
tff(decl_59,type,
c_List_Osko__List__Xlinorder__class__Xsorted__Cons__1__1: ( $i * $i * $i ) > $i ).
tff(decl_60,type,
class_Lattices_Oupper__semilattice: $i > $o ).
tff(decl_61,type,
class_Lattices_Olattice: $i > $o ).
tff(decl_62,type,
c_Message_Oagent_OServer: $i ).
tff(decl_63,type,
c_Event_Obad: $i ).
tff(decl_64,type,
tc_Message_Oagent: $i ).
tff(decl_65,type,
t_a: $i ).
tff(decl_66,type,
c_Message_Oagent_Oagent__case: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_67,type,
v_sko__Message__Xagent__Xsplit__1: ( $i * $i * $i ) > $i ).
tff(decl_68,type,
c_Message_Osko__Message__Xagent__Xcase__cong__1__1: ( $i * $i * $i * $i ) > $i ).
tff(decl_69,type,
c_List_Osko__List__XCons__eq__filter__iff__1__3: ( $i * $i * $i ) > $i ).
tff(decl_70,type,
c_List_Osko__List__Xfilter__eq__Cons__iff__1__3: ( $i * $i * $i ) > $i ).
tff(decl_71,type,
c_Message_Oagent_OSpy: $i ).
tff(decl_72,type,
v_sko__Message__Xagent__Xsplit__asm__1: ( $i * $i * $i ) > $i ).
tff(decl_73,type,
c_Event_Oevent_ONotes: ( $i * $i ) > $i ).
tff(decl_74,type,
tc_Event_Oevent: $i ).
tff(decl_75,type,
c_Event_Oknows: ( $i * $i ) > $i ).
tff(decl_76,type,
c_List_Osko__List__Xappend__eq__Cons__conv__1__1: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_77,type,
c_List_Osko__List__XCons__eq__append__conv__1__1: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_78,type,
c_SetInterval_Oord__class_OatLeastLessThan: ( $i * $i * $i ) > $i ).
tff(decl_79,type,
class_HOL_Oord: $i > $o ).
tff(decl_80,type,
c_SetInterval_Oord__class_OatMost: ( $i * $i ) > $i ).
tff(decl_81,type,
c_SetInterval_Oord__class_OatLeast: ( $i * $i ) > $i ).
tff(decl_82,type,
c_Message_Oagent_OFriend: $i > $i ).
tff(decl_83,type,
c_Event_Oevent_OSays: ( $i * $i * $i ) > $i ).
tff(decl_84,type,
t_b: $i ).
tff(decl_85,type,
c_List_Olist_Olist__case: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_86,type,
c_NS__Shared__Mirabelle_Ons__sharedp: $i > $o ).
tff(decl_87,type,
c_Event_Oevent_OGets: ( $i * $i ) > $i ).
tff(decl_88,type,
c_SetInterval_Oord__class_OatLeastAtMost: ( $i * $i * $i ) > $i ).
tff(decl_89,type,
c_SetInterval_Oord__class_OgreaterThan: ( $i * $i ) > $i ).
tff(decl_90,type,
c_Event_Oused: $i > $i ).
tff(decl_91,type,
c_SetInterval_Oord__class_OlessThan: ( $i * $i ) > $i ).
tff(decl_92,type,
v_sko__List__Xconcat__Xinduct__1: $i > $i ).
tff(decl_93,type,
v_sko__List__Xconcat__Xinduct__2: $i > $i ).
tff(decl_94,type,
v_sko__List__Xmap__Xinduct__1: $i > $i ).
tff(decl_95,type,
v_sko__List__Xmap__Xinduct__2: $i > $i ).
tff(decl_96,type,
v_sko__List__Xlist__Xinduct__1: $i > $i ).
tff(decl_97,type,
v_sko__List__Xlist__Xinduct__2: $i > $i ).
tff(decl_98,type,
v_sko__List__Xremove1__Xinduct__1: $i > $i ).
tff(decl_99,type,
v_sko__List__Xremove1__Xinduct__2: $i > $i ).
tff(decl_100,type,
v_sko__List__Xdistinct__Xinduct__1: $i > $i ).
tff(decl_101,type,
v_sko__List__Xdistinct__Xinduct__2: $i > $i ).
tff(decl_102,type,
c_Event_OinitState: $i > $i ).
tff(decl_103,type,
c_Message_Osko__Message__Xagent__Xnchotomy__1__1: $i > $i ).
tff(decl_104,type,
v_sko__Public__XinitState__Xinduct__1: $i > $i ).
tff(decl_105,type,
v_sko__Message__Xagent__Xinduct__1: $i > $i ).
tff(decl_106,type,
c_Message_Osko__Message__Xagent__Xexhaust__1__1: $i > $i ).
tff(decl_107,type,
v_sko__Message__Xagent__Xinducts__1: $i > $i ).
tff(decl_108,type,
c_COMBI: ( $i * $i ) > $i ).
tff(decl_109,type,
c_List_Olistrelp: ( $i * $i * $i * $i ) > $o ).
tff(decl_110,type,
c_Message_Oagent_Oagent__rec: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_111,type,
c_List_Ofiltermap: ( $i * $i * $i * $i ) > $i ).
tff(decl_112,type,
v_P: $i ).
tff(decl_113,type,
c_ATP__Linkup_Osko__Orderings__Xle__funI__1__1: ( $i * $i * $i * $i ) > $i ).
tff(decl_114,type,
c_ATP__Linkup_Osko__Orderings__Xle__fun__def__1__1: ( $i * $i * $i * $i ) > $i ).
tff(decl_115,type,
class_Orderings_Oorder: $i > $o ).
tff(decl_116,type,
class_Orderings_Opreorder: $i > $o ).
tff(decl_117,type,
tc_nat: $i ).
tff(decl_118,type,
c_fequal: ( $i * $i * $i ) > $o ).
cnf(cls_conjecture_0,negated_conjecture,
~ 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('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(cls_takeWhile_Osimps_I1_J_0,axiom,
c_List_OtakeWhile(X1,c_List_Olist_ONil(X2),X2) = c_List_Olist_ONil(X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_takeWhile_Osimps_I1_J_0) ).
cnf(cls_subset__refl_0,axiom,
c_lessequals(X1,X1,tc_fun(X2,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_subset__refl_0) ).
cnf(c_0_3,negated_conjecture,
~ 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)),
cls_conjecture_0 ).
cnf(c_0_4,axiom,
c_List_OtakeWhile(X1,c_List_Olist_ONil(X2),X2) = c_List_Olist_ONil(X2),
cls_takeWhile_Osimps_I1_J_0 ).
cnf(c_0_5,axiom,
c_lessequals(X1,X1,tc_fun(X2,tc_bool)),
cls_subset__refl_0 ).
cnf(c_0_6,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3,c_0_4]),c_0_5])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SWV781-1 : TPTP v8.1.2. Released v4.1.0.
% 0.06/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.12/0.34 % Computer : n007.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Aug 29 03:26:58 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.56/0.59 start to proof: theBenchmark
% 0.56/0.64 % Version : CSE_E---1.5
% 0.56/0.64 % Problem : theBenchmark.p
% 0.56/0.64 % Proof found
% 0.56/0.64 % SZS status Theorem for theBenchmark.p
% 0.56/0.64 % SZS output start Proof
% See solution above
% 0.56/0.65 % Total time : 0.035000 s
% 0.56/0.65 % SZS output end Proof
% 0.56/0.65 % Total time : 0.044000 s
%------------------------------------------------------------------------------