%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWV724-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n001.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 02:49:24 PM UTC 2026
% Result : Unsatisfiable 0.28s 0.95s
% Output : CNFRefutation 1.45s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 358
% Syntax : Number of formulae : 1131 ( 137 unt; 260 def)
% Number of atoms : 2599 ( 396 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 2599 (1131 ~;1208 |; 0 &)
% ( 260 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 270 ( 268 usr; 261 prp; 0-3 aty)
% Number of functors : 38 ( 38 usr; 15 con; 0-3 aty)
% Number of variables : 1714 (1714 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [V_K,V_H] :
( hBOOL(c_in(V_K,c_Message_OkeysFor(c_Message_Oanalz(V_H)),tc_nat))
| c_Message_Oanalz(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,V_K),V_H,tc_Message_Omsg)) = c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(V_H),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f19,axiom,
! [V_A,V_B,T_a,V_x] :
( ~ c_lessequals(c_Set_Oinsert(V_x,V_A,T_a),V_B,tc_fun(T_a,tc_bool))
| c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f21,axiom,
! [V_X,V_H] :
( ~ hBOOL(c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg))
| c_lessequals(c_Message_Oparts(c_Set_Oinsert(V_X,V_H,tc_Message_Omsg)),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(c_Message_Oanalz(V_H)),c_Message_Oparts(V_H),tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f27,axiom,
! [T_b] :
( hAPP(c_Orderings_Obot__class_Obot(tc_fun(t_a,T_b)),v_x) = c_Orderings_Obot__class_Obot(T_b)
| ~ class_Orderings_Obot(T_b) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f33,axiom,
! [V_X,V_evs] :
( ~ hBOOL(c_in(V_X,c_Event_Oused(V_evs),tc_Message_Omsg))
| c_lessequals(c_Message_Oparts(c_Set_Oinsert(V_X,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),c_Event_Oused(V_evs),tc_fun(tc_Message_Omsg,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f42,axiom,
! [V_G,V_H] :
( ~ c_lessequals(V_G,V_H,tc_fun(tc_Message_Omsg,tc_bool))
| c_lessequals(c_Message_Oparts(V_G),c_Message_Oparts(V_H),tc_fun(tc_Message_Omsg,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f49,axiom,
! [T_a] : c_List_Oset(c_List_Olist_ONil(T_a),T_a) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f52,axiom,
! [T_b,V_f,V_g] :
( hAPP(c_Lattices_Oupper__semilattice__class_Osup(V_f,V_g,tc_fun(t_a,T_b)),v_x) = c_Lattices_Oupper__semilattice__class_Osup(hAPP(V_f,v_x),hAPP(V_g,v_x),T_b)
| ~ class_Lattices_Olattice(T_b) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f59,axiom,
! [V_A,T_a] : c_Lattices_Oupper__semilattice__class_Osup(V_A,V_A,tc_fun(T_a,tc_bool)) = V_A,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f60,axiom,
! [T_a,V_x] :
( c_Lattices_Oupper__semilattice__class_Osup(V_x,V_x,T_a) = V_x
| ~ class_Lattices_Oupper__semilattice(T_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f61,axiom,
! [V_G,V_H] : c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oanalz(V_G),c_Message_Oanalz(V_H),tc_fun(tc_Message_Omsg,tc_bool)),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(V_G,V_H,tc_fun(tc_Message_Omsg,tc_bool))),tc_fun(tc_Message_Omsg,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f64,axiom,
! [V_H] : c_Message_Oparts(c_Message_Osynth(V_H)) = c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(V_H),c_Message_Osynth(V_H),tc_fun(tc_Message_Omsg,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f71,axiom,
! [V_x,V_y,V_A,T_a] : c_Set_Oinsert(V_x,c_Set_Oinsert(V_y,V_A,T_a),T_a) = c_Set_Oinsert(V_y,c_Set_Oinsert(V_x,V_A,T_a),T_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f73,axiom,
! [V_G,V_H] : c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(V_G),c_Message_Oparts(V_H),tc_fun(tc_Message_Omsg,tc_bool)),c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(V_G,V_H,tc_fun(tc_Message_Omsg,tc_bool))),tc_fun(tc_Message_Omsg,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f77,axiom,
! [V_G,V_H] :
( ~ c_lessequals(V_G,c_Message_Osynth(V_H),tc_fun(tc_Message_Omsg,tc_bool))
| c_lessequals(c_Message_Osynth(V_G),c_Message_Osynth(V_H),tc_fun(tc_Message_Omsg,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f78,axiom,
! [V_G,V_H] :
( ~ c_lessequals(c_Message_Osynth(V_G),c_Message_Osynth(V_H),tc_fun(tc_Message_Omsg,tc_bool))
| c_lessequals(V_G,c_Message_Osynth(V_H),tc_fun(tc_Message_Omsg,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f79,axiom,
! [V_A,V_B,V_X,V_evs] : c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_OSays(V_A,V_B,V_X),V_evs,tc_Event_Oevent)) = c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Set_Oinsert(V_X,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),c_Event_Oused(V_evs),tc_fun(tc_Message_Omsg,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f81,axiom,
! [V_X,V_Y,V_H] : c_Message_Oparts(c_Set_Oinsert(V_X,c_Set_Oinsert(V_Y,V_H,tc_Message_Omsg),tc_Message_Omsg)) = c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Set_Oinsert(V_X,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),c_Message_Oparts(c_Set_Oinsert(V_Y,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),c_Message_Oparts(V_H),tc_fun(tc_Message_Omsg,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f86,axiom,
! [V_X,V_H,V_G] :
( ~ hBOOL(c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_G)),tc_Message_Omsg))
| c_lessequals(c_Message_Oanalz(c_Set_Oinsert(V_X,V_H,tc_Message_Omsg)),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(c_Message_Oanalz(V_G)),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(V_G,V_H,tc_fun(tc_Message_Omsg,tc_bool))),tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f89,axiom,
! [V_evs] : c_lessequals(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),c_Event_Oused(V_evs),tc_fun(tc_Message_Omsg,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f92,axiom,
! [V_A,V_B,V_C,T_a] : c_Lattices_Oupper__semilattice__class_Osup(V_A,c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(V_B,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f93,axiom,
! [V_A,V_B,T_a,V_C] : c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(V_A,c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f94,axiom,
! [T_a,V_x,V_y,V_z] :
( c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),V_z,T_a) = c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a),T_a)
| ~ class_Lattices_Oupper__semilattice(T_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f95,axiom,
! [T_a,V_x,V_y,V_z] :
( c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a),T_a) = c_Lattices_Oupper__semilattice__class_Osup(V_y,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_z,T_a),T_a)
| ~ class_Lattices_Oupper__semilattice(T_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f102,axiom,
! [V_A,V_B,T_a] : c_lessequals(V_A,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f104,axiom,
! [T_a,V_a,V_b,V_x] :
( ~ c_lessequals(V_a,V_x,T_a)
| ~ c_lessequals(V_b,V_x,T_a)
| c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),V_x,T_a)
| ~ class_Lattices_Oupper__semilattice(T_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f105,axiom,
! [T_a,V_x,V_y] :
( c_lessequals(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a)
| ~ class_Lattices_Oupper__semilattice(T_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f106,axiom,
! [T_a,V_y,V_x] :
( c_lessequals(V_y,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a)
| ~ class_Lattices_Oupper__semilattice(T_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f141,axiom,
c_Message_Oparts(c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool))) = c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f143,axiom,
! [V_evs] : c_lessequals(c_Event_Oused(c_List_Olist_ONil(tc_Event_Oevent)),c_Event_Oused(V_evs),tc_fun(tc_Message_Omsg,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f154,axiom,
! [T_a,V_A] : c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f156,axiom,
! [V_A,V_evs] : c_lessequals(c_Event_OinitState(V_A),c_Event_Oknows(V_A,V_evs),tc_fun(tc_Message_Omsg,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f159,axiom,
! [V_a,V_A,T_a] : c_Set_Oinsert(V_a,V_A,T_a) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f163,axiom,
! [V_A,V_x,V_y,T_a] :
( ~ hBOOL(hAPP(c_Set_Oinsert(V_y,V_A,T_a),V_x))
| V_y = V_x
| hBOOL(hAPP(V_A,V_x)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f194,axiom,
! [T_a,V_B] : c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)) = V_B,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f195,axiom,
! [V_A,T_a] : c_Lattices_Oupper__semilattice__class_Osup(V_A,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = V_A,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f197,axiom,
! [V_H] : c_lessequals(V_H,c_Message_Oparts(V_H),tc_fun(tc_Message_Omsg,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f209,axiom,
! [V_X,V_A,V_evs] : c_Message_Oparts(c_Set_Oinsert(V_X,c_Event_Oknows(V_A,V_evs),tc_Message_Omsg)) = c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Set_Oinsert(V_X,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),c_Message_Oparts(c_Event_Oknows(V_A,V_evs)),tc_fun(tc_Message_Omsg,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f213,axiom,
! [V_H] : c_Message_Oparts(c_Message_Oparts(V_H)) = c_Message_Oparts(V_H),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f217,axiom,
! [T_a,V_x,V_y] :
( ~ c_lessequals(V_x,V_y,T_a)
| ~ c_lessequals(V_y,V_x,T_a)
| V_x = V_y
| ~ class_Orderings_Oorder(T_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f223,axiom,
! [T_a,V_x,V_y] :
( ~ c_lessequals(V_y,V_x,T_a)
| c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a) = V_x
| ~ class_Lattices_Oupper__semilattice(T_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f224,axiom,
! [T_a,V_x,V_y] :
( c_lessequals(V_x,V_y,T_a)
| c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a) != V_y
| ~ class_Lattices_Oupper__semilattice(T_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f225,axiom,
! [T_a,V_x,V_y] :
( ~ c_lessequals(V_x,V_y,T_a)
| c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a) = V_y
| ~ class_Lattices_Oupper__semilattice(T_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f246,axiom,
! [T_a,V_A,V_B] :
( V_A = c_Orderings_Obot__class_Obot(T_a)
| c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,T_a) != c_Orderings_Obot__class_Obot(T_a)
| ~ class_Lattices_Obounded__lattice(T_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f247,axiom,
! [T_a,V_A,V_B] :
( V_B = c_Orderings_Obot__class_Obot(T_a)
| c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,T_a) != c_Orderings_Obot__class_Obot(T_a)
| ~ class_Lattices_Obounded__lattice(T_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f254,axiom,
! [V_A,V_B,T_a] : c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(V_B,V_A,tc_fun(T_a,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f255,axiom,
! [T_a,V_x,V_y] :
( c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a) = c_Lattices_Oupper__semilattice__class_Osup(V_y,V_x,T_a)
| ~ class_Lattices_Oupper__semilattice(T_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f261,axiom,
! [T_a,V_x,V_y] :
( c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a) = c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a)
| ~ class_Lattices_Oupper__semilattice(T_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f267,axiom,
! [V_H] : c_Message_Oanalz(c_Message_Osynth(V_H)) = c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oanalz(V_H),c_Message_Osynth(V_H),tc_fun(tc_Message_Omsg,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f274,axiom,
! [V_x,V_t,T_a] : c_List_Olist_OCons(V_x,V_t,T_a) != V_t,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f289,axiom,
! [V_H] : c_lessequals(c_Message_Oanalz(V_H),c_Message_Oparts(V_H),tc_fun(tc_Message_Omsg,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f315,axiom,
! [V_a,V_A,T_a] :
( ~ hBOOL(c_in(V_a,V_A,T_a))
| c_Set_Oinsert(V_a,V_A,T_a) = V_A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f320,axiom,
! [V_X,V_H] :
( ~ hBOOL(c_in(V_X,V_H,tc_Message_Omsg))
| hBOOL(c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f322,axiom,
! [V_X,V_H] :
( ~ hBOOL(c_in(V_X,V_H,tc_Message_Omsg))
| hBOOL(c_in(V_X,c_Message_Osynth(V_H),tc_Message_Omsg)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f362,axiom,
! [V_x,V_A,T_a] : hBOOL(hAPP(c_Set_Oinsert(V_x,V_A,T_a),V_x)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f375,axiom,
! [V_H] : c_lessequals(V_H,c_Message_Osynth(V_H),tc_fun(tc_Message_Omsg,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f378,axiom,
! [V_A] : c_Event_Oknows(V_A,c_List_Olist_ONil(tc_Event_Oevent)) = c_Event_OinitState(V_A),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f380,axiom,
! [T_a,V_y,V_z,V_x] :
( ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),V_z,T_a)
| c_lessequals(V_y,V_z,T_a)
| ~ class_Lattices_Oupper__semilattice(T_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f381,axiom,
! [T_a,V_x,V_z,V_y] :
( ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),V_z,T_a)
| c_lessequals(V_x,V_z,T_a)
| ~ class_Lattices_Oupper__semilattice(T_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f382,axiom,
! [T_a,V_x,V_a,V_b] :
( ~ c_lessequals(V_x,V_b,T_a)
| c_lessequals(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),T_a)
| ~ class_Lattices_Oupper__semilattice(T_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f383,axiom,
! [T_a,V_x,V_a,V_b] :
( ~ c_lessequals(V_x,V_a,T_a)
| c_lessequals(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),T_a)
| ~ class_Lattices_Oupper__semilattice(T_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f388,axiom,
! [T_a,V_z,V_x,V_y] :
( ~ c_lessequals(V_y,V_x,T_a)
| ~ c_lessequals(V_z,V_y,T_a)
| c_lessequals(V_z,V_x,T_a)
| ~ class_Orderings_Oorder(T_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f390,axiom,
! [V_x,T_a] : c_lessequals(V_x,V_x,tc_fun(T_a,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f441,axiom,
! [T_a,V_y,V_x] :
( c_lessequals(V_x,V_y,T_a)
| c_lessequals(V_y,V_x,T_a)
| ~ class_Orderings_Olinorder(T_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f453,axiom,
! [V_H] : c_Message_Oparts(c_Message_Oanalz(V_H)) = c_Message_Oparts(V_H),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f454,axiom,
! [V_H,V_H_H,V_X] :
( c_Message_Oanalz(c_Set_Oinsert(V_X,V_H,tc_Message_Omsg)) = c_Message_Oanalz(c_Set_Oinsert(V_X,V_H_H,tc_Message_Omsg))
| c_Message_Oanalz(V_H) != c_Message_Oanalz(V_H_H) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f456,axiom,
c_Message_Oanalz(c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool))) = c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f457,axiom,
! [V_H] : c_Message_Oanalz(c_Message_Oparts(V_H)) = c_Message_Oparts(V_H),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f460,axiom,
! [V_H] : c_lessequals(V_H,c_Message_Oanalz(V_H),tc_fun(tc_Message_Omsg,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f482,axiom,
! [V_nat] : c_Message_Oagent_OFriend(V_nat) != c_Message_Oagent_OSpy,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f505,axiom,
! [V_Y,V_H,V_X] :
( ~ hBOOL(c_in(V_Y,c_Message_Oanalz(c_Set_Oinsert(V_X,V_H,tc_Message_Omsg)),tc_Message_Omsg))
| ~ hBOOL(c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg))
| hBOOL(c_in(V_Y,c_Message_Oanalz(V_H),tc_Message_Omsg)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f506,axiom,
! [V_X,V_H] :
( ~ hBOOL(c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg))
| c_Message_Oanalz(c_Set_Oinsert(V_X,V_H,tc_Message_Omsg)) = c_Message_Oanalz(V_H) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f508,axiom,
! [V_c,V_a,V_G] :
( ~ hBOOL(c_in(V_c,c_Message_Oanalz(V_G),tc_Message_Omsg))
| hBOOL(c_in(V_c,c_Message_Oanalz(c_Set_Oinsert(V_a,V_G,tc_Message_Omsg)),tc_Message_Omsg)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f519,axiom,
! [V_A,V_X,V_evs] :
( hBOOL(c_in(V_A,c_Event_Obad,tc_Message_Oagent))
| c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(V_A,V_X),V_evs,tc_Event_Oevent)) = c_Event_Oknows(c_Message_Oagent_OSpy,V_evs) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f520,axiom,
hBOOL(c_in(c_List_Olist_ONil(tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f521,axiom,
~ hBOOL(c_in(c_Message_Oagent_OServer,c_Event_Obad,tc_Message_Oagent)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f525,axiom,
! [V_b,V_A,V_evs] :
( ~ hBOOL(c_in(V_A,c_Event_Obad,tc_Message_Oagent))
| hBOOL(c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(hAPP(c_Public_OpublicKey(V_b),V_A))),c_Event_Oknows(c_Message_Oagent_OSpy,V_evs),tc_Message_Omsg)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f526,axiom,
! [V_X,V_H,V_A] :
( ~ hBOOL(c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_A),V_X),c_Message_Oanalz(V_H),tc_Message_Omsg))
| ~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,V_A)),c_Message_Oanalz(V_H),tc_Message_Omsg))
| hBOOL(c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f530,axiom,
! [V_A,V_evs] :
( ~ hBOOL(c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
| ~ hBOOL(c_in(V_A,c_Event_Obad,tc_Message_Oagent))
| hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,V_A)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f531,axiom,
! [V_A,V_evs] :
( ~ hBOOL(c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
| ~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,V_A)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg))
| hBOOL(c_in(V_A,c_Event_Obad,tc_Message_Oagent)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f532,axiom,
! [V_H] : c_Message_Oanalz(c_Message_Oanalz(V_H)) = c_Message_Oanalz(V_H),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f533,axiom,
! [V_X,V_H] :
( ~ hBOOL(c_in(V_X,V_H,tc_Message_Omsg))
| hBOOL(c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f534,axiom,
hBOOL(c_in(c_Message_Oagent_OSpy,c_Event_Obad,tc_Message_Oagent)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f536,axiom,
! [V_A,V_evs] :
( ~ hBOOL(c_in(V_A,c_Event_Obad,tc_Message_Oagent))
| hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,V_A)),c_Event_Oknows(c_Message_Oagent_OSpy,V_evs),tc_Message_Omsg)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f537,axiom,
! [V_A,V_evs] : hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,V_A)),c_Event_Oknows(V_A,V_evs),tc_Message_Omsg)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f539,axiom,
! [V_x,V_S,T_a] :
( ~ hBOOL(hAPP(V_S,V_x))
| hBOOL(c_in(V_x,V_S,T_a)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f540,axiom,
! [V_S,V_x,T_a] :
( ~ hBOOL(c_in(V_x,V_S,T_a))
| hBOOL(hAPP(V_S,V_x)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f542,negated_conjecture,
hBOOL(c_in(v_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f543,negated_conjecture,
( ~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,v_A)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg))
| ~ hBOOL(c_in(v_A,c_Event_Obad,tc_Message_Oagent)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f544,negated_conjecture,
( hBOOL(c_in(v_A,c_Event_Obad,tc_Message_Oagent))
| hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,v_A)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f545,axiom,
! [T_2,T_1] :
( ~ class_Lattices_Olattice(T_1)
| class_Lattices_Oupper__semilattice(tc_fun(T_2,T_1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f546,axiom,
! [T_2,T_1] :
( ~ class_Lattices_Obounded__lattice(T_1)
| class_Lattices_Obounded__lattice(tc_fun(T_2,T_1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f548,axiom,
! [T_2,T_1] :
( ~ class_Lattices_Olattice(T_1)
| class_Lattices_Olattice(tc_fun(T_2,T_1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f549,axiom,
! [T_2,T_1] :
( ~ class_Orderings_Oorder(T_1)
| class_Orderings_Oorder(tc_fun(T_2,T_1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f560,axiom,
class_Lattices_Obounded__lattice(tc_bool),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f562,axiom,
class_Lattices_Olattice(tc_bool),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f563,axiom,
class_Orderings_Oorder(tc_bool),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f564,axiom,
class_Orderings_Obot(tc_bool),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f571,plain,
! [X0,X1] :
( hBOOL(c_in(X0,c_Message_OkeysFor(c_Message_Oanalz(X1)),tc_nat))
| c_Message_Oanalz(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,X0),X1,tc_Message_Omsg)) = c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,X0),c_Message_Oanalz(X1),tc_Message_Omsg) ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f589,plain,
! [V_A,V_B,T_a] :
( ! [V_x] : ~ c_lessequals(c_Set_Oinsert(V_x,V_A,T_a),V_B,tc_fun(T_a,tc_bool))
| c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ),
inference(miniscoping,[status(thm)],[f19]) ).
fof(f590,plain,
! [X0,X1,X2,X3] :
( ~ c_lessequals(c_Set_Oinsert(X3,X0,X2),X1,tc_fun(X2,tc_bool))
| c_lessequals(X0,X1,tc_fun(X2,tc_bool)) ),
inference(cnf_transformation,[status(thm)],[f589]) ).
fof(f593,plain,
! [X0,X1] :
( ~ hBOOL(c_in(X0,c_Message_Osynth(c_Message_Oanalz(X1)),tc_Message_Omsg))
| c_lessequals(c_Message_Oparts(c_Set_Oinsert(X0,X1,tc_Message_Omsg)),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(c_Message_Oanalz(X1)),c_Message_Oparts(X1),tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(cnf_transformation,[status(thm)],[f21]) ).
fof(f599,plain,
! [X0] :
( hAPP(c_Orderings_Obot__class_Obot(tc_fun(t_a,X0)),v_x) = c_Orderings_Obot__class_Obot(X0)
| ~ class_Orderings_Obot(X0) ),
inference(cnf_transformation,[status(thm)],[f27]) ).
fof(f608,plain,
! [X0,X1] :
( ~ hBOOL(c_in(X0,c_Event_Oused(X1),tc_Message_Omsg))
| c_lessequals(c_Message_Oparts(c_Set_Oinsert(X0,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),c_Event_Oused(X1),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(cnf_transformation,[status(thm)],[f33]) ).
fof(f624,plain,
! [X0,X1] :
( ~ c_lessequals(X0,X1,tc_fun(tc_Message_Omsg,tc_bool))
| c_lessequals(c_Message_Oparts(X0),c_Message_Oparts(X1),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(cnf_transformation,[status(thm)],[f42]) ).
fof(f634,plain,
! [X0] : c_List_Oset(c_List_Olist_ONil(X0),X0) = c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)),
inference(cnf_transformation,[status(thm)],[f49]) ).
fof(f637,plain,
! [T_b] :
( ! [V_f,V_g] : hAPP(c_Lattices_Oupper__semilattice__class_Osup(V_f,V_g,tc_fun(t_a,T_b)),v_x) = c_Lattices_Oupper__semilattice__class_Osup(hAPP(V_f,v_x),hAPP(V_g,v_x),T_b)
| ~ class_Lattices_Olattice(T_b) ),
inference(miniscoping,[status(thm)],[f52]) ).
fof(f638,plain,
! [X0,X1,X2] :
( hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(t_a,X0)),v_x) = c_Lattices_Oupper__semilattice__class_Osup(hAPP(X1,v_x),hAPP(X2,v_x),X0)
| ~ class_Lattices_Olattice(X0) ),
inference(cnf_transformation,[status(thm)],[f637]) ).
fof(f645,plain,
! [X0,X1] : c_Lattices_Oupper__semilattice__class_Osup(X0,X0,tc_fun(X1,tc_bool)) = X0,
inference(cnf_transformation,[status(thm)],[f59]) ).
fof(f646,plain,
! [T_a] :
( ! [V_x] : c_Lattices_Oupper__semilattice__class_Osup(V_x,V_x,T_a) = V_x
| ~ class_Lattices_Oupper__semilattice(T_a) ),
inference(miniscoping,[status(thm)],[f60]) ).
fof(f647,plain,
! [X0,X1] :
( c_Lattices_Oupper__semilattice__class_Osup(X1,X1,X0) = X1
| ~ class_Lattices_Oupper__semilattice(X0) ),
inference(cnf_transformation,[status(thm)],[f646]) ).
fof(f648,plain,
! [X0,X1] : c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oanalz(X0),c_Message_Oanalz(X1),tc_fun(tc_Message_Omsg,tc_bool)),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X0,X1,tc_fun(tc_Message_Omsg,tc_bool))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(cnf_transformation,[status(thm)],[f61]) ).
fof(f653,plain,
! [X0] : c_Message_Oparts(c_Message_Osynth(X0)) = c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(X0),c_Message_Osynth(X0),tc_fun(tc_Message_Omsg,tc_bool)),
inference(cnf_transformation,[status(thm)],[f64]) ).
fof(f661,plain,
! [X0,X1,X2,X3] : c_Set_Oinsert(X0,c_Set_Oinsert(X1,X2,X3),X3) = c_Set_Oinsert(X1,c_Set_Oinsert(X0,X2,X3),X3),
inference(cnf_transformation,[status(thm)],[f71]) ).
fof(f664,plain,
! [X0,X1] : c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(X0),c_Message_Oparts(X1),tc_fun(tc_Message_Omsg,tc_bool)),c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(X0,X1,tc_fun(tc_Message_Omsg,tc_bool))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(cnf_transformation,[status(thm)],[f73]) ).
fof(f670,plain,
! [X0,X1] :
( ~ c_lessequals(X0,c_Message_Osynth(X1),tc_fun(tc_Message_Omsg,tc_bool))
| c_lessequals(c_Message_Osynth(X0),c_Message_Osynth(X1),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(cnf_transformation,[status(thm)],[f77]) ).
fof(f671,plain,
! [X0,X1] :
( ~ c_lessequals(c_Message_Osynth(X0),c_Message_Osynth(X1),tc_fun(tc_Message_Omsg,tc_bool))
| c_lessequals(X0,c_Message_Osynth(X1),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(cnf_transformation,[status(thm)],[f78]) ).
fof(f672,plain,
! [X0,X1,X2,X3] : c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_OSays(X0,X1,X2),X3,tc_Event_Oevent)) = c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),c_Event_Oused(X3),tc_fun(tc_Message_Omsg,tc_bool)),
inference(cnf_transformation,[status(thm)],[f79]) ).
fof(f674,plain,
! [X0,X1,X2] : c_Message_Oparts(c_Set_Oinsert(X0,c_Set_Oinsert(X1,X2,tc_Message_Omsg),tc_Message_Omsg)) = c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Set_Oinsert(X0,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),c_Message_Oparts(c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),c_Message_Oparts(X2),tc_fun(tc_Message_Omsg,tc_bool)),
inference(cnf_transformation,[status(thm)],[f81]) ).
fof(f679,plain,
! [V_X,V_G] :
( ~ hBOOL(c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_G)),tc_Message_Omsg))
| ! [V_H] : c_lessequals(c_Message_Oanalz(c_Set_Oinsert(V_X,V_H,tc_Message_Omsg)),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(c_Message_Oanalz(V_G)),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(V_G,V_H,tc_fun(tc_Message_Omsg,tc_bool))),tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(miniscoping,[status(thm)],[f86]) ).
fof(f680,plain,
! [X0,X1,X2] :
( ~ hBOOL(c_in(X0,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg))
| c_lessequals(c_Message_Oanalz(c_Set_Oinsert(X0,X1,tc_Message_Omsg)),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(c_Message_Oanalz(X2)),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X2,X1,tc_fun(tc_Message_Omsg,tc_bool))),tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(cnf_transformation,[status(thm)],[f679]) ).
fof(f685,plain,
! [X0] : c_lessequals(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X0)),c_Event_Oused(X0),tc_fun(tc_Message_Omsg,tc_bool)),
inference(cnf_transformation,[status(thm)],[f89]) ).
fof(f688,plain,
! [X0,X1,X2,X3] : c_Lattices_Oupper__semilattice__class_Osup(X0,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X0,X2,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),
inference(cnf_transformation,[status(thm)],[f92]) ).
fof(f689,plain,
! [X0,X1,X2,X3] : c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(X0,X1,tc_fun(X2,tc_bool)),X3,tc_fun(X2,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(X0,c_Lattices_Oupper__semilattice__class_Osup(X1,X3,tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)),
inference(cnf_transformation,[status(thm)],[f93]) ).
fof(f690,plain,
! [T_a] :
( ! [V_x,V_y,V_z] : c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),V_z,T_a) = c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a),T_a)
| ~ class_Lattices_Oupper__semilattice(T_a) ),
inference(miniscoping,[status(thm)],[f94]) ).
fof(f691,plain,
! [X0,X1,X2,X3] :
( c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X0),X3,X0) = c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X0),X0)
| ~ class_Lattices_Oupper__semilattice(X0) ),
inference(cnf_transformation,[status(thm)],[f690]) ).
fof(f692,plain,
! [T_a] :
( ! [V_x,V_y,V_z] : c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a),T_a) = c_Lattices_Oupper__semilattice__class_Osup(V_y,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_z,T_a),T_a)
| ~ class_Lattices_Oupper__semilattice(T_a) ),
inference(miniscoping,[status(thm)],[f95]) ).
fof(f693,plain,
! [X0,X1,X2,X3] :
( c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X0),X0) = c_Lattices_Oupper__semilattice__class_Osup(X2,c_Lattices_Oupper__semilattice__class_Osup(X1,X3,X0),X0)
| ~ class_Lattices_Oupper__semilattice(X0) ),
inference(cnf_transformation,[status(thm)],[f692]) ).
fof(f703,plain,
! [X0,X1,X2] : c_lessequals(X0,c_Lattices_Oupper__semilattice__class_Osup(X0,X1,tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)),
inference(cnf_transformation,[status(thm)],[f102]) ).
fof(f706,plain,
! [T_a,V_a,V_x] :
( ~ c_lessequals(V_a,V_x,T_a)
| ! [V_b] :
( ~ c_lessequals(V_b,V_x,T_a)
| c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),V_x,T_a)
| ~ class_Lattices_Oupper__semilattice(T_a) ) ),
inference(miniscoping,[status(thm)],[f104]) ).
fof(f707,plain,
! [X0,X1,X2,X3] :
( ~ c_lessequals(X1,X3,X0)
| ~ c_lessequals(X2,X3,X0)
| c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X0),X3,X0)
| ~ class_Lattices_Oupper__semilattice(X0) ),
inference(cnf_transformation,[status(thm)],[f706]) ).
fof(f708,plain,
! [T_a] :
( ! [V_x,V_y] : c_lessequals(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a)
| ~ class_Lattices_Oupper__semilattice(T_a) ),
inference(miniscoping,[status(thm)],[f105]) ).
fof(f709,plain,
! [X0,X1,X2] :
( c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X0),X0)
| ~ class_Lattices_Oupper__semilattice(X0) ),
inference(cnf_transformation,[status(thm)],[f708]) ).
fof(f710,plain,
! [T_a] :
( ! [V_y,V_x] : c_lessequals(V_y,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a)
| ~ class_Lattices_Oupper__semilattice(T_a) ),
inference(miniscoping,[status(thm)],[f106]) ).
fof(f711,plain,
! [X0,X1,X2] :
( c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X1,X0),X0)
| ~ class_Lattices_Oupper__semilattice(X0) ),
inference(cnf_transformation,[status(thm)],[f710]) ).
fof(f759,plain,
c_Message_Oparts(c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool))) = c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),
inference(cnf_transformation,[status(thm)],[f141]) ).
fof(f762,plain,
! [X0] : c_lessequals(c_Event_Oused(c_List_Olist_ONil(tc_Event_Oevent)),c_Event_Oused(X0),tc_fun(tc_Message_Omsg,tc_bool)),
inference(cnf_transformation,[status(thm)],[f143]) ).
fof(f775,plain,
! [X0,X1] : c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)),X1,tc_fun(X0,tc_bool)),
inference(cnf_transformation,[status(thm)],[f154]) ).
fof(f778,plain,
! [X0,X1] : c_lessequals(c_Event_OinitState(X0),c_Event_Oknows(X0,X1),tc_fun(tc_Message_Omsg,tc_bool)),
inference(cnf_transformation,[status(thm)],[f156]) ).
fof(f781,plain,
! [X0,X1,X2] : c_Set_Oinsert(X0,X1,X2) != c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),
inference(cnf_transformation,[status(thm)],[f159]) ).
fof(f787,plain,
! [V_A,V_x,V_y] :
( ! [T_a] : ~ hBOOL(hAPP(c_Set_Oinsert(V_y,V_A,T_a),V_x))
| V_y = V_x
| hBOOL(hAPP(V_A,V_x)) ),
inference(miniscoping,[status(thm)],[f163]) ).
fof(f788,plain,
! [X0,X1,X2,X3] :
( ~ hBOOL(hAPP(c_Set_Oinsert(X2,X0,X3),X1))
| X2 = X1
| hBOOL(hAPP(X0,X1)) ),
inference(cnf_transformation,[status(thm)],[f787]) ).
fof(f826,plain,
! [X0,X1] : c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)),X1,tc_fun(X0,tc_bool)) = X1,
inference(cnf_transformation,[status(thm)],[f194]) ).
fof(f827,plain,
! [X0,X1] : c_Lattices_Oupper__semilattice__class_Osup(X0,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)) = X0,
inference(cnf_transformation,[status(thm)],[f195]) ).
fof(f830,plain,
! [X0] : c_lessequals(X0,c_Message_Oparts(X0),tc_fun(tc_Message_Omsg,tc_bool)),
inference(cnf_transformation,[status(thm)],[f197]) ).
fof(f845,plain,
! [X0,X1,X2] : c_Message_Oparts(c_Set_Oinsert(X0,c_Event_Oknows(X1,X2),tc_Message_Omsg)) = c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Set_Oinsert(X0,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),c_Message_Oparts(c_Event_Oknows(X1,X2)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(cnf_transformation,[status(thm)],[f209]) ).
fof(f850,plain,
! [X0] : c_Message_Oparts(c_Message_Oparts(X0)) = c_Message_Oparts(X0),
inference(cnf_transformation,[status(thm)],[f213]) ).
fof(f854,plain,
! [X0,X1,X2] :
( ~ c_lessequals(X1,X2,X0)
| ~ c_lessequals(X2,X1,X0)
| X1 = X2
| ~ class_Orderings_Oorder(X0) ),
inference(cnf_transformation,[status(thm)],[f217]) ).
fof(f861,plain,
! [X0,X1,X2] :
( ~ c_lessequals(X2,X1,X0)
| c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X0) = X1
| ~ class_Lattices_Oupper__semilattice(X0) ),
inference(cnf_transformation,[status(thm)],[f223]) ).
fof(f862,plain,
! [X0,X1,X2] :
( c_lessequals(X1,X2,X0)
| c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X0) != X2
| ~ class_Lattices_Oupper__semilattice(X0) ),
inference(cnf_transformation,[status(thm)],[f224]) ).
fof(f863,plain,
! [X0,X1,X2] :
( ~ c_lessequals(X1,X2,X0)
| c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X0) = X2
| ~ class_Lattices_Oupper__semilattice(X0) ),
inference(cnf_transformation,[status(thm)],[f225]) ).
fof(f892,plain,
! [T_a,V_A] :
( V_A = c_Orderings_Obot__class_Obot(T_a)
| ! [V_B] : c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,T_a) != c_Orderings_Obot__class_Obot(T_a)
| ~ class_Lattices_Obounded__lattice(T_a) ),
inference(miniscoping,[status(thm)],[f246]) ).
fof(f893,plain,
! [X0,X1,X2] :
( X1 = c_Orderings_Obot__class_Obot(X0)
| c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X0) != c_Orderings_Obot__class_Obot(X0)
| ~ class_Lattices_Obounded__lattice(X0) ),
inference(cnf_transformation,[status(thm)],[f892]) ).
fof(f894,plain,
! [T_a,V_B] :
( V_B = c_Orderings_Obot__class_Obot(T_a)
| ! [V_A] : c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,T_a) != c_Orderings_Obot__class_Obot(T_a)
| ~ class_Lattices_Obounded__lattice(T_a) ),
inference(miniscoping,[status(thm)],[f247]) ).
fof(f895,plain,
! [X0,X1,X2] :
( X2 = c_Orderings_Obot__class_Obot(X0)
| c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X0) != c_Orderings_Obot__class_Obot(X0)
| ~ class_Lattices_Obounded__lattice(X0) ),
inference(cnf_transformation,[status(thm)],[f894]) ).
fof(f904,plain,
! [X0,X1,X2] : c_Lattices_Oupper__semilattice__class_Osup(X0,X1,tc_fun(X2,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(X1,X0,tc_fun(X2,tc_bool)),
inference(cnf_transformation,[status(thm)],[f254]) ).
fof(f905,plain,
! [T_a] :
( ! [V_x,V_y] : c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a) = c_Lattices_Oupper__semilattice__class_Osup(V_y,V_x,T_a)
| ~ class_Lattices_Oupper__semilattice(T_a) ),
inference(miniscoping,[status(thm)],[f255]) ).
fof(f906,plain,
! [X0,X1,X2] :
( c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X0) = c_Lattices_Oupper__semilattice__class_Osup(X2,X1,X0)
| ~ class_Lattices_Oupper__semilattice(X0) ),
inference(cnf_transformation,[status(thm)],[f905]) ).
fof(f913,plain,
! [T_a] :
( ! [V_x,V_y] : c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a) = c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a)
| ~ class_Lattices_Oupper__semilattice(T_a) ),
inference(miniscoping,[status(thm)],[f261]) ).
fof(f914,plain,
! [X0,X1,X2] :
( c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X0),X0) = c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X0)
| ~ class_Lattices_Oupper__semilattice(X0) ),
inference(cnf_transformation,[status(thm)],[f913]) ).
fof(f921,plain,
! [X0] : c_Message_Oanalz(c_Message_Osynth(X0)) = c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oanalz(X0),c_Message_Osynth(X0),tc_fun(tc_Message_Omsg,tc_bool)),
inference(cnf_transformation,[status(thm)],[f267]) ).
fof(f930,plain,
! [X0,X1,X2] : c_List_Olist_OCons(X0,X1,X2) != X1,
inference(cnf_transformation,[status(thm)],[f274]) ).
fof(f946,plain,
! [X0] : c_lessequals(c_Message_Oanalz(X0),c_Message_Oparts(X0),tc_fun(tc_Message_Omsg,tc_bool)),
inference(cnf_transformation,[status(thm)],[f289]) ).
fof(f987,plain,
! [X0,X1,X2] :
( ~ hBOOL(c_in(X0,X1,X2))
| c_Set_Oinsert(X0,X1,X2) = X1 ),
inference(cnf_transformation,[status(thm)],[f315]) ).
fof(f996,plain,
! [X0,X1] :
( ~ hBOOL(c_in(X0,X1,tc_Message_Omsg))
| hBOOL(c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg)) ),
inference(cnf_transformation,[status(thm)],[f320]) ).
fof(f998,plain,
! [X0,X1] :
( ~ hBOOL(c_in(X0,X1,tc_Message_Omsg))
| hBOOL(c_in(X0,c_Message_Osynth(X1),tc_Message_Omsg)) ),
inference(cnf_transformation,[status(thm)],[f322]) ).
fof(f1052,plain,
! [X0,X1,X2] : hBOOL(hAPP(c_Set_Oinsert(X0,X1,X2),X0)),
inference(cnf_transformation,[status(thm)],[f362]) ).
fof(f1070,plain,
! [X0] : c_lessequals(X0,c_Message_Osynth(X0),tc_fun(tc_Message_Omsg,tc_bool)),
inference(cnf_transformation,[status(thm)],[f375]) ).
fof(f1073,plain,
! [X0] : c_Event_Oknows(X0,c_List_Olist_ONil(tc_Event_Oevent)) = c_Event_OinitState(X0),
inference(cnf_transformation,[status(thm)],[f378]) ).
fof(f1075,plain,
! [T_a,V_y,V_z] :
( ! [V_x] : ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),V_z,T_a)
| c_lessequals(V_y,V_z,T_a)
| ~ class_Lattices_Oupper__semilattice(T_a) ),
inference(miniscoping,[status(thm)],[f380]) ).
fof(f1076,plain,
! [X0,X1,X2,X3] :
( ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X3,X1,X0),X2,X0)
| c_lessequals(X1,X2,X0)
| ~ class_Lattices_Oupper__semilattice(X0) ),
inference(cnf_transformation,[status(thm)],[f1075]) ).
fof(f1077,plain,
! [T_a,V_x,V_z] :
( ! [V_y] : ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),V_z,T_a)
| c_lessequals(V_x,V_z,T_a)
| ~ class_Lattices_Oupper__semilattice(T_a) ),
inference(miniscoping,[status(thm)],[f381]) ).
fof(f1078,plain,
! [X0,X1,X2,X3] :
( ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X3,X0),X2,X0)
| c_lessequals(X1,X2,X0)
| ~ class_Lattices_Oupper__semilattice(X0) ),
inference(cnf_transformation,[status(thm)],[f1077]) ).
fof(f1079,plain,
! [T_a,V_x,V_b] :
( ~ c_lessequals(V_x,V_b,T_a)
| ! [V_a] : c_lessequals(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),T_a)
| ~ class_Lattices_Oupper__semilattice(T_a) ),
inference(miniscoping,[status(thm)],[f382]) ).
fof(f1080,plain,
! [X0,X1,X2,X3] :
( ~ c_lessequals(X1,X3,X0)
| c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X0),X0)
| ~ class_Lattices_Oupper__semilattice(X0) ),
inference(cnf_transformation,[status(thm)],[f1079]) ).
fof(f1081,plain,
! [T_a,V_x,V_a] :
( ~ c_lessequals(V_x,V_a,T_a)
| ! [V_b] : c_lessequals(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),T_a)
| ~ class_Lattices_Oupper__semilattice(T_a) ),
inference(miniscoping,[status(thm)],[f383]) ).
fof(f1082,plain,
! [X0,X1,X2,X3] :
( ~ c_lessequals(X1,X2,X0)
| c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X0),X0)
| ~ class_Lattices_Oupper__semilattice(X0) ),
inference(cnf_transformation,[status(thm)],[f1081]) ).
fof(f1091,plain,
! [T_a,V_x,V_y] :
( ~ c_lessequals(V_y,V_x,T_a)
| ! [V_z] :
( ~ c_lessequals(V_z,V_y,T_a)
| c_lessequals(V_z,V_x,T_a)
| ~ class_Orderings_Oorder(T_a) ) ),
inference(miniscoping,[status(thm)],[f388]) ).
fof(f1092,plain,
! [X0,X1,X2,X3] :
( ~ c_lessequals(X3,X2,X0)
| ~ c_lessequals(X1,X3,X0)
| c_lessequals(X1,X2,X0)
| ~ class_Orderings_Oorder(X0) ),
inference(cnf_transformation,[status(thm)],[f1091]) ).
fof(f1095,plain,
! [X0,X1] : c_lessequals(X0,X0,tc_fun(X1,tc_bool)),
inference(cnf_transformation,[status(thm)],[f390]) ).
fof(f1170,plain,
! [X0,X1,X2] :
( c_lessequals(X2,X1,X0)
| c_lessequals(X1,X2,X0)
| ~ class_Orderings_Olinorder(X0) ),
inference(cnf_transformation,[status(thm)],[f441]) ).
fof(f1191,plain,
! [X0] : c_Message_Oparts(c_Message_Oanalz(X0)) = c_Message_Oparts(X0),
inference(cnf_transformation,[status(thm)],[f453]) ).
fof(f1192,plain,
! [V_H,V_H_H] :
( ! [V_X] : c_Message_Oanalz(c_Set_Oinsert(V_X,V_H,tc_Message_Omsg)) = c_Message_Oanalz(c_Set_Oinsert(V_X,V_H_H,tc_Message_Omsg))
| c_Message_Oanalz(V_H) != c_Message_Oanalz(V_H_H) ),
inference(miniscoping,[status(thm)],[f454]) ).
fof(f1193,plain,
! [X0,X1,X2] :
( c_Message_Oanalz(c_Set_Oinsert(X2,X0,tc_Message_Omsg)) = c_Message_Oanalz(c_Set_Oinsert(X2,X1,tc_Message_Omsg))
| c_Message_Oanalz(X0) != c_Message_Oanalz(X1) ),
inference(cnf_transformation,[status(thm)],[f1192]) ).
fof(f1195,plain,
c_Message_Oanalz(c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool))) = c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),
inference(cnf_transformation,[status(thm)],[f456]) ).
fof(f1196,plain,
! [X0] : c_Message_Oanalz(c_Message_Oparts(X0)) = c_Message_Oparts(X0),
inference(cnf_transformation,[status(thm)],[f457]) ).
fof(f1199,plain,
! [X0] : c_lessequals(X0,c_Message_Oanalz(X0),tc_fun(tc_Message_Omsg,tc_bool)),
inference(cnf_transformation,[status(thm)],[f460]) ).
fof(f1224,plain,
! [X0] : c_Message_Oagent_OFriend(X0) != c_Message_Oagent_OSpy,
inference(cnf_transformation,[status(thm)],[f482]) ).
fof(f1254,plain,
! [X0,X1,X2] :
( ~ hBOOL(c_in(X0,c_Message_Oanalz(c_Set_Oinsert(X2,X1,tc_Message_Omsg)),tc_Message_Omsg))
| ~ hBOOL(c_in(X2,c_Message_Oanalz(X1),tc_Message_Omsg))
| hBOOL(c_in(X0,c_Message_Oanalz(X1),tc_Message_Omsg)) ),
inference(cnf_transformation,[status(thm)],[f505]) ).
fof(f1255,plain,
! [X0,X1] :
( ~ hBOOL(c_in(X0,c_Message_Oanalz(X1),tc_Message_Omsg))
| c_Message_Oanalz(c_Set_Oinsert(X0,X1,tc_Message_Omsg)) = c_Message_Oanalz(X1) ),
inference(cnf_transformation,[status(thm)],[f506]) ).
fof(f1258,plain,
! [V_c,V_G] :
( ~ hBOOL(c_in(V_c,c_Message_Oanalz(V_G),tc_Message_Omsg))
| ! [V_a] : hBOOL(c_in(V_c,c_Message_Oanalz(c_Set_Oinsert(V_a,V_G,tc_Message_Omsg)),tc_Message_Omsg)) ),
inference(miniscoping,[status(thm)],[f508]) ).
fof(f1259,plain,
! [X0,X1,X2] :
( ~ hBOOL(c_in(X0,c_Message_Oanalz(X2),tc_Message_Omsg))
| hBOOL(c_in(X0,c_Message_Oanalz(c_Set_Oinsert(X1,X2,tc_Message_Omsg)),tc_Message_Omsg)) ),
inference(cnf_transformation,[status(thm)],[f1258]) ).
fof(f1274,plain,
! [V_A] :
( hBOOL(c_in(V_A,c_Event_Obad,tc_Message_Oagent))
| ! [V_X,V_evs] : c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(V_A,V_X),V_evs,tc_Event_Oevent)) = c_Event_Oknows(c_Message_Oagent_OSpy,V_evs) ),
inference(miniscoping,[status(thm)],[f519]) ).
fof(f1275,plain,
! [X0,X1,X2] :
( hBOOL(c_in(X0,c_Event_Obad,tc_Message_Oagent))
| c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(X0,X1),X2,tc_Event_Oevent)) = c_Event_Oknows(c_Message_Oagent_OSpy,X2) ),
inference(cnf_transformation,[status(thm)],[f1274]) ).
fof(f1276,plain,
hBOOL(c_in(c_List_Olist_ONil(tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))),
inference(cnf_transformation,[status(thm)],[f520]) ).
fof(f1277,plain,
~ hBOOL(c_in(c_Message_Oagent_OServer,c_Event_Obad,tc_Message_Oagent)),
inference(cnf_transformation,[status(thm)],[f521]) ).
fof(f1281,plain,
! [V_A] :
( ~ hBOOL(c_in(V_A,c_Event_Obad,tc_Message_Oagent))
| ! [V_b,V_evs] : hBOOL(c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(hAPP(c_Public_OpublicKey(V_b),V_A))),c_Event_Oknows(c_Message_Oagent_OSpy,V_evs),tc_Message_Omsg)) ),
inference(miniscoping,[status(thm)],[f525]) ).
fof(f1282,plain,
! [X0,X1,X2] :
( ~ hBOOL(c_in(X1,c_Event_Obad,tc_Message_Oagent))
| hBOOL(c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(hAPP(c_Public_OpublicKey(X0),X1))),c_Event_Oknows(c_Message_Oagent_OSpy,X2),tc_Message_Omsg)) ),
inference(cnf_transformation,[status(thm)],[f1281]) ).
fof(f1283,plain,
! [X0,X1,X2] :
( ~ hBOOL(c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X2),X0),c_Message_Oanalz(X1),tc_Message_Omsg))
| ~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X2)),c_Message_Oanalz(X1),tc_Message_Omsg))
| hBOOL(c_in(X0,c_Message_Oanalz(X1),tc_Message_Omsg)) ),
inference(cnf_transformation,[status(thm)],[f526]) ).
fof(f1287,plain,
! [V_evs] :
( ~ hBOOL(c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
| ! [V_A] :
( ~ hBOOL(c_in(V_A,c_Event_Obad,tc_Message_Oagent))
| hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,V_A)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)) ) ),
inference(miniscoping,[status(thm)],[f530]) ).
fof(f1288,plain,
! [X0,X1] :
( ~ hBOOL(c_in(X1,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
| ~ hBOOL(c_in(X0,c_Event_Obad,tc_Message_Oagent))
| hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X0)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg)) ),
inference(cnf_transformation,[status(thm)],[f1287]) ).
fof(f1289,plain,
! [V_evs] :
( ~ hBOOL(c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
| ! [V_A] :
( ~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,V_A)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg))
| hBOOL(c_in(V_A,c_Event_Obad,tc_Message_Oagent)) ) ),
inference(miniscoping,[status(thm)],[f531]) ).
fof(f1290,plain,
! [X0,X1] :
( ~ hBOOL(c_in(X1,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
| ~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X0)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg))
| hBOOL(c_in(X0,c_Event_Obad,tc_Message_Oagent)) ),
inference(cnf_transformation,[status(thm)],[f1289]) ).
fof(f1291,plain,
! [X0] : c_Message_Oanalz(c_Message_Oanalz(X0)) = c_Message_Oanalz(X0),
inference(cnf_transformation,[status(thm)],[f532]) ).
fof(f1292,plain,
! [X0,X1] :
( ~ hBOOL(c_in(X0,X1,tc_Message_Omsg))
| hBOOL(c_in(X0,c_Message_Oanalz(X1),tc_Message_Omsg)) ),
inference(cnf_transformation,[status(thm)],[f533]) ).
fof(f1293,plain,
hBOOL(c_in(c_Message_Oagent_OSpy,c_Event_Obad,tc_Message_Oagent)),
inference(cnf_transformation,[status(thm)],[f534]) ).
fof(f1295,plain,
! [V_A] :
( ~ hBOOL(c_in(V_A,c_Event_Obad,tc_Message_Oagent))
| ! [V_evs] : hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,V_A)),c_Event_Oknows(c_Message_Oagent_OSpy,V_evs),tc_Message_Omsg)) ),
inference(miniscoping,[status(thm)],[f536]) ).
fof(f1296,plain,
! [X0,X1] :
( ~ hBOOL(c_in(X0,c_Event_Obad,tc_Message_Oagent))
| hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X0)),c_Event_Oknows(c_Message_Oagent_OSpy,X1),tc_Message_Omsg)) ),
inference(cnf_transformation,[status(thm)],[f1295]) ).
fof(f1297,plain,
! [X0,X1] : hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X0)),c_Event_Oknows(X0,X1),tc_Message_Omsg)),
inference(cnf_transformation,[status(thm)],[f537]) ).
fof(f1299,plain,
! [V_x,V_S] :
( ~ hBOOL(hAPP(V_S,V_x))
| ! [T_a] : hBOOL(c_in(V_x,V_S,T_a)) ),
inference(miniscoping,[status(thm)],[f539]) ).
fof(f1300,plain,
! [X0,X1,X2] :
( ~ hBOOL(hAPP(X1,X0))
| hBOOL(c_in(X0,X1,X2)) ),
inference(cnf_transformation,[status(thm)],[f1299]) ).
fof(f1301,plain,
! [V_S,V_x] :
( ! [T_a] : ~ hBOOL(c_in(V_x,V_S,T_a))
| hBOOL(hAPP(V_S,V_x)) ),
inference(miniscoping,[status(thm)],[f540]) ).
fof(f1302,plain,
! [X0,X1,X2] :
( ~ hBOOL(c_in(X1,X0,X2))
| hBOOL(hAPP(X0,X1)) ),
inference(cnf_transformation,[status(thm)],[f1301]) ).
fof(f1304,plain,
hBOOL(c_in(v_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))),
inference(cnf_transformation,[status(thm)],[f542]) ).
fof(f1305,plain,
( ~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,v_A)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg))
| ~ hBOOL(c_in(v_A,c_Event_Obad,tc_Message_Oagent)) ),
inference(cnf_transformation,[status(thm)],[f543]) ).
fof(f1306,plain,
( hBOOL(c_in(v_A,c_Event_Obad,tc_Message_Oagent))
| hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,v_A)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg)) ),
inference(cnf_transformation,[status(thm)],[f544]) ).
fof(f1307,plain,
! [T_1] :
( ~ class_Lattices_Olattice(T_1)
| ! [T_2] : class_Lattices_Oupper__semilattice(tc_fun(T_2,T_1)) ),
inference(miniscoping,[status(thm)],[f545]) ).
fof(f1308,plain,
! [X0,X1] :
( ~ class_Lattices_Olattice(X1)
| class_Lattices_Oupper__semilattice(tc_fun(X0,X1)) ),
inference(cnf_transformation,[status(thm)],[f1307]) ).
fof(f1309,plain,
! [T_1] :
( ~ class_Lattices_Obounded__lattice(T_1)
| ! [T_2] : class_Lattices_Obounded__lattice(tc_fun(T_2,T_1)) ),
inference(miniscoping,[status(thm)],[f546]) ).
fof(f1310,plain,
! [X0,X1] :
( ~ class_Lattices_Obounded__lattice(X1)
| class_Lattices_Obounded__lattice(tc_fun(X0,X1)) ),
inference(cnf_transformation,[status(thm)],[f1309]) ).
fof(f1313,plain,
! [T_1] :
( ~ class_Lattices_Olattice(T_1)
| ! [T_2] : class_Lattices_Olattice(tc_fun(T_2,T_1)) ),
inference(miniscoping,[status(thm)],[f548]) ).
fof(f1314,plain,
! [X0,X1] :
( ~ class_Lattices_Olattice(X1)
| class_Lattices_Olattice(tc_fun(X0,X1)) ),
inference(cnf_transformation,[status(thm)],[f1313]) ).
fof(f1315,plain,
! [T_1] :
( ~ class_Orderings_Oorder(T_1)
| ! [T_2] : class_Orderings_Oorder(tc_fun(T_2,T_1)) ),
inference(miniscoping,[status(thm)],[f549]) ).
fof(f1316,plain,
! [X0,X1] :
( ~ class_Orderings_Oorder(X1)
| class_Orderings_Oorder(tc_fun(X0,X1)) ),
inference(cnf_transformation,[status(thm)],[f1315]) ).
fof(f1329,plain,
class_Lattices_Obounded__lattice(tc_bool),
inference(cnf_transformation,[status(thm)],[f560]) ).
fof(f1331,plain,
class_Lattices_Olattice(tc_bool),
inference(cnf_transformation,[status(thm)],[f562]) ).
fof(f1332,plain,
class_Orderings_Oorder(tc_bool),
inference(cnf_transformation,[status(thm)],[f563]) ).
fof(f1333,plain,
class_Orderings_Obot(tc_bool),
inference(cnf_transformation,[status(thm)],[f564]) ).
fof(f1338,definition,
( sQ0_spl
<=> hBOOL(c_in(v_A,c_Event_Obad,tc_Message_Oagent)) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f1341,definition,
( sQ1_spl
<=> hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,v_A)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg)) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f1342,plain,
( ~ sQ1_spl
| hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,v_A)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg)) ),
inference(component_clause,[status(thm)],[f1341]) ).
fof(f1343,plain,
( sQ1_spl
| ~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,v_A)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg)) ),
inference(component_clause,[status(thm)],[f1341]) ).
fof(f1344,plain,
( ~ sQ1_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f1305,f1338,f1341]) ).
fof(f1345,plain,
( sQ0_spl
| sQ1_spl ),
inference(split_clause,[status(thm)],[f1306,f1341,f1338]) ).
fof(f1357,plain,
( ~ sQ1_spl
| hBOOL(hAPP(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,v_A)))) ),
inference(resolution,[status(thm)],[f1302,f1342]) ).
fof(f1360,plain,
! [X0,X1] :
( hBOOL(hAPP(c_Message_Oanalz(X1),X0))
| ~ hBOOL(c_in(X0,X1,tc_Message_Omsg)) ),
inference(resolution,[status(thm)],[f1292,f1302]) ).
fof(f1389,plain,
! [X0,X1,X2] :
( hBOOL(c_in(X1,c_Message_OkeysFor(c_Message_Oanalz(X2)),tc_nat))
| ~ hBOOL(c_in(X0,c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,X1),X2,tc_Message_Omsg),tc_Message_Omsg))
| hBOOL(c_in(X0,c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,X1),c_Message_Oanalz(X2),tc_Message_Omsg),tc_Message_Omsg)) ),
inference(paramodulation,[status(thm)],[f571,f1292]) ).
fof(f1390,plain,
! [X0,X1] :
( hBOOL(c_in(X0,c_Message_OkeysFor(c_Message_Oanalz(X1)),tc_nat))
| c_Message_Oanalz(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,X0),c_Message_Oanalz(X1),tc_Message_Omsg)) = c_Message_Oanalz(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,X0),X1,tc_Message_Omsg)) ),
inference(paramodulation,[status(thm)],[f571,f1291]) ).
fof(f1392,plain,
( sQ1_spl
| ~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,v_A)),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs),tc_Message_Omsg)) ),
inference(resolution,[status(thm)],[f1343,f1292]) ).
fof(f1394,plain,
( sQ1_spl
| ~ hBOOL(hAPP(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs),hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,v_A)))) ),
inference(resolution,[status(thm)],[f1392,f1300]) ).
fof(f1408,plain,
! [X0,X1] : hBOOL(hAPP(c_Message_Oanalz(c_Event_Oknows(X0,X1)),hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X0)))),
inference(resolution,[status(thm)],[f1297,f1360]) ).
fof(f1409,plain,
! [X0,X1] : hBOOL(hAPP(c_Event_Oknows(X0,X1),hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X0)))),
inference(resolution,[status(thm)],[f1297,f1302]) ).
fof(f1430,plain,
! [X0,X1,X2] :
( hBOOL(c_in(X2,c_Message_OkeysFor(c_Message_Oanalz(X0)),tc_nat))
| c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,X2),c_Message_Oanalz(X0),tc_Message_Omsg) = c_Message_Oanalz(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,X2),X1,tc_Message_Omsg))
| c_Message_Oanalz(X0) != c_Message_Oanalz(X1) ),
inference(paramodulation,[status(thm)],[f571,f1193]) ).
fof(f1516,plain,
! [X0,X1,X2] :
( hBOOL(c_in(X1,c_Message_OkeysFor(c_Message_Oanalz(X2)),tc_nat))
| ~ hBOOL(c_in(X0,c_Message_Oanalz(X2),tc_Message_Omsg))
| hBOOL(c_in(X0,c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,X1),c_Message_Oanalz(X2),tc_Message_Omsg),tc_Message_Omsg)) ),
inference(paramodulation,[status(thm)],[f571,f1259]) ).
fof(f1544,plain,
! [X0,X1] :
( hBOOL(c_in(X1,c_Event_Obad,tc_Message_Oagent))
| hBOOL(hAPP(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X0)),hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,c_Message_Oagent_OSpy)))) ),
inference(paramodulation,[status(thm)],[f1275,f1408]) ).
fof(f1545,plain,
! [X0,X1] :
( hBOOL(c_in(X1,c_Event_Obad,tc_Message_Oagent))
| hBOOL(hAPP(c_Event_Oknows(c_Message_Oagent_OSpy,X0),hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,c_Message_Oagent_OSpy)))) ),
inference(paramodulation,[status(thm)],[f1275,f1409]) ).
fof(f1546,plain,
! [X0,X1] :
( hBOOL(c_in(X1,c_Event_Obad,tc_Message_Oagent))
| hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,c_Message_Oagent_OSpy)),c_Event_Oknows(c_Message_Oagent_OSpy,X0),tc_Message_Omsg)) ),
inference(paramodulation,[status(thm)],[f1275,f1297]) ).
fof(f1548,definition,
! [X0] :
( sQ6_spl
<=> hBOOL(hAPP(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X0)),hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,c_Message_Oagent_OSpy)))) ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f1551,definition,
! [X1] :
( sQ7_spl
<=> hBOOL(c_in(X1,c_Event_Obad,tc_Message_Oagent)) ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f1552,plain,
! [X0] :
( ~ sQ7_spl
| hBOOL(c_in(X0,c_Event_Obad,tc_Message_Oagent)) ),
inference(component_clause,[status(thm)],[f1551]) ).
fof(f1554,plain,
( sQ7_spl
| sQ6_spl ),
inference(split_clause,[status(thm)],[f1544,f1548,f1551]) ).
fof(f1555,definition,
! [X0] :
( sQ8_spl
<=> hBOOL(hAPP(c_Event_Oknows(c_Message_Oagent_OSpy,X0),hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,c_Message_Oagent_OSpy)))) ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f1558,plain,
( sQ7_spl
| sQ8_spl ),
inference(split_clause,[status(thm)],[f1545,f1555,f1551]) ).
fof(f1559,definition,
! [X0] :
( sQ9_spl
<=> hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,c_Message_Oagent_OSpy)),c_Event_Oknows(c_Message_Oagent_OSpy,X0),tc_Message_Omsg)) ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f1562,plain,
( sQ7_spl
| sQ9_spl ),
inference(split_clause,[status(thm)],[f1546,f1559,f1551]) ).
fof(f1563,plain,
( ~ sQ7_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1277,f1552]) ).
fof(f1566,plain,
~ sQ7_spl,
inference(contradiction_clause,[status(thm)],[f1563]) ).
fof(f1647,plain,
! [X0,X1,X2] :
( ~ hBOOL(c_in(X0,c_Set_Oinsert(X2,X1,tc_Message_Omsg),tc_Message_Omsg))
| ~ hBOOL(c_in(X2,c_Message_Oanalz(X1),tc_Message_Omsg))
| hBOOL(c_in(X0,c_Message_Oanalz(X1),tc_Message_Omsg)) ),
inference(resolution,[status(thm)],[f1254,f1292]) ).
fof(f1648,plain,
! [X0,X1,X2] :
( ~ hBOOL(hAPP(c_Message_Oanalz(c_Set_Oinsert(X2,X1,tc_Message_Omsg)),X0))
| ~ hBOOL(c_in(X2,c_Message_Oanalz(X1),tc_Message_Omsg))
| hBOOL(c_in(X0,c_Message_Oanalz(X1),tc_Message_Omsg)) ),
inference(resolution,[status(thm)],[f1254,f1300]) ).
fof(f1691,plain,
! [X0,X1] :
( hBOOL(hAPP(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X0))))
| ~ hBOOL(c_in(X0,c_Event_Obad,tc_Message_Oagent)) ),
inference(resolution,[status(thm)],[f1296,f1360]) ).
fof(f1692,plain,
! [X0,X1] :
( hBOOL(hAPP(c_Event_Oknows(c_Message_Oagent_OSpy,X1),hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X0))))
| ~ hBOOL(c_in(X0,c_Event_Obad,tc_Message_Oagent)) ),
inference(resolution,[status(thm)],[f1296,f1302]) ).
fof(f1693,plain,
! [X0,X1,X2] :
( hBOOL(c_in(X2,c_Event_Obad,tc_Message_Oagent))
| ~ hBOOL(c_in(X0,c_Event_Obad,tc_Message_Oagent))
| hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X0)),c_Event_Oknows(c_Message_Oagent_OSpy,X1),tc_Message_Omsg)) ),
inference(paramodulation,[status(thm)],[f1275,f1296]) ).
fof(f1694,definition,
! [X0,X1] :
( sQ13_spl
<=> ( ~ hBOOL(c_in(X0,c_Event_Obad,tc_Message_Oagent))
| hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X0)),c_Event_Oknows(c_Message_Oagent_OSpy,X1),tc_Message_Omsg)) ) ),
introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).
fof(f1697,plain,
( sQ7_spl
| sQ13_spl ),
inference(split_clause,[status(thm)],[f1693,f1694,f1551]) ).
fof(f1698,plain,
! [X0,X1,X2] :
( hBOOL(c_in(X2,c_Event_Obad,tc_Message_Oagent))
| hBOOL(hAPP(c_Event_Oknows(c_Message_Oagent_OSpy,X1),hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X0))))
| ~ hBOOL(c_in(X0,c_Event_Obad,tc_Message_Oagent)) ),
inference(paramodulation,[status(thm)],[f1275,f1692]) ).
fof(f1699,definition,
! [X0,X1] :
( sQ14_spl
<=> ( hBOOL(hAPP(c_Event_Oknows(c_Message_Oagent_OSpy,X1),hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X0))))
| ~ hBOOL(c_in(X0,c_Event_Obad,tc_Message_Oagent)) ) ),
introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).
fof(f1702,plain,
( sQ7_spl
| sQ14_spl ),
inference(split_clause,[status(thm)],[f1698,f1699,f1551]) ).
fof(f1703,plain,
! [X0,X1,X2] :
( hBOOL(hAPP(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(hAPP(c_Public_OpublicKey(X2),X0)))))
| ~ hBOOL(c_in(X0,c_Event_Obad,tc_Message_Oagent)) ),
inference(resolution,[status(thm)],[f1282,f1360]) ).
fof(f1704,plain,
! [X0,X1,X2] :
( hBOOL(hAPP(c_Event_Oknows(c_Message_Oagent_OSpy,X1),hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(hAPP(c_Public_OpublicKey(X2),X0)))))
| ~ hBOOL(c_in(X0,c_Event_Obad,tc_Message_Oagent)) ),
inference(resolution,[status(thm)],[f1282,f1302]) ).
fof(f1705,plain,
! [X0,X1,X2,X3] :
( hBOOL(c_in(X3,c_Event_Obad,tc_Message_Oagent))
| ~ hBOOL(c_in(X1,c_Event_Obad,tc_Message_Oagent))
| hBOOL(c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(hAPP(c_Public_OpublicKey(X0),X1))),c_Event_Oknows(c_Message_Oagent_OSpy,X2),tc_Message_Omsg)) ),
inference(paramodulation,[status(thm)],[f1275,f1282]) ).
fof(f1706,definition,
! [X0,X1,X2] :
( sQ15_spl
<=> ( ~ hBOOL(c_in(X1,c_Event_Obad,tc_Message_Oagent))
| hBOOL(c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(hAPP(c_Public_OpublicKey(X0),X1))),c_Event_Oknows(c_Message_Oagent_OSpy,X2),tc_Message_Omsg)) ) ),
introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).
fof(f1709,plain,
( sQ7_spl
| sQ15_spl ),
inference(split_clause,[status(thm)],[f1705,f1706,f1551]) ).
fof(f1715,plain,
! [X0,X1,X2] :
( hBOOL(c_in(X2,c_Event_Obad,tc_Message_Oagent))
| hBOOL(hAPP(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X0))))
| ~ hBOOL(c_in(X0,c_Event_Obad,tc_Message_Oagent)) ),
inference(paramodulation,[status(thm)],[f1275,f1691]) ).
fof(f1716,definition,
! [X0,X1] :
( sQ16_spl
<=> ( hBOOL(hAPP(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X0))))
| ~ hBOOL(c_in(X0,c_Event_Obad,tc_Message_Oagent)) ) ),
introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).
fof(f1719,plain,
( sQ7_spl
| sQ16_spl ),
inference(split_clause,[status(thm)],[f1715,f1716,f1551]) ).
fof(f1756,plain,
! [X0,X1,X2,X3] :
( hBOOL(c_in(X1,c_Message_OkeysFor(c_Message_Oanalz(X2)),tc_nat))
| ~ hBOOL(c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X3),X0),c_Message_Oanalz(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,X1),X2,tc_Message_Omsg)),tc_Message_Omsg))
| ~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X3)),c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,X1),c_Message_Oanalz(X2),tc_Message_Omsg),tc_Message_Omsg))
| hBOOL(c_in(X0,c_Message_Oanalz(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,X1),X2,tc_Message_Omsg)),tc_Message_Omsg)) ),
inference(paramodulation,[status(thm)],[f571,f1283]) ).
fof(f1771,plain,
! [X0,X1] :
( ~ hBOOL(c_in(X0,c_Message_Osynth(c_Message_Oanalz(c_Message_Oanalz(X1))),tc_Message_Omsg))
| c_lessequals(c_Message_Oparts(c_Set_Oinsert(X0,c_Message_Oanalz(X1),tc_Message_Omsg)),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(c_Message_Oanalz(X1)),c_Message_Oparts(c_Message_Oanalz(X1)),tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(paramodulation,[status(thm)],[f1291,f593]) ).
fof(f1776,plain,
! [X0,X1] :
( ~ hBOOL(c_in(X0,c_Message_Osynth(c_Message_Oanalz(c_Message_Oanalz(X1))),tc_Message_Omsg))
| c_lessequals(c_Message_Oparts(c_Set_Oinsert(X0,c_Message_Oanalz(X1),tc_Message_Omsg)),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(c_Message_Oanalz(X1)),c_Message_Oparts(X1),tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(forward_demodulation,[status(thm)],[f1191,f1771]) ).
fof(f1777,plain,
! [X0,X1] :
( ~ hBOOL(c_in(X0,c_Message_Osynth(c_Message_Oanalz(X1)),tc_Message_Omsg))
| c_lessequals(c_Message_Oparts(c_Set_Oinsert(X0,c_Message_Oanalz(X1),tc_Message_Omsg)),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(c_Message_Oanalz(X1)),c_Message_Oparts(X1),tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(forward_demodulation,[status(thm)],[f1291,f1776]) ).
fof(f1798,plain,
! [X0,X1] :
( hBOOL(hAPP(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X0))))
| ~ hBOOL(c_in(X1,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
| ~ hBOOL(c_in(X0,c_Event_Obad,tc_Message_Oagent)) ),
inference(resolution,[status(thm)],[f1288,f1302]) ).
fof(f1801,plain,
! [X0,X1,X2,X3] :
( hBOOL(c_in(X3,c_Event_Obad,tc_Message_Oagent))
| hBOOL(hAPP(c_Event_Oknows(c_Message_Oagent_OSpy,X1),hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(hAPP(c_Public_OpublicKey(X2),X0)))))
| ~ hBOOL(c_in(X0,c_Event_Obad,tc_Message_Oagent)) ),
inference(paramodulation,[status(thm)],[f1275,f1704]) ).
fof(f1802,definition,
! [X0,X1,X2] :
( sQ17_spl
<=> ( hBOOL(hAPP(c_Event_Oknows(c_Message_Oagent_OSpy,X1),hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(hAPP(c_Public_OpublicKey(X2),X0)))))
| ~ hBOOL(c_in(X0,c_Event_Obad,tc_Message_Oagent)) ) ),
introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition]) ).
fof(f1805,plain,
( sQ7_spl
| sQ17_spl ),
inference(split_clause,[status(thm)],[f1801,f1802,f1551]) ).
fof(f1827,plain,
! [X0,X1] :
( ~ hBOOL(hAPP(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X0))))
| ~ hBOOL(c_in(X1,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
| hBOOL(c_in(X0,c_Event_Obad,tc_Message_Oagent)) ),
inference(resolution,[status(thm)],[f1290,f1300]) ).
fof(f1855,plain,
! [X0,X1,X2,X3] :
( hBOOL(c_in(X3,c_Event_Obad,tc_Message_Oagent))
| hBOOL(hAPP(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(hAPP(c_Public_OpublicKey(X2),X0)))))
| ~ hBOOL(c_in(X0,c_Event_Obad,tc_Message_Oagent)) ),
inference(paramodulation,[status(thm)],[f1275,f1703]) ).
fof(f1856,definition,
! [X0,X1,X2] :
( sQ20_spl
<=> ( hBOOL(hAPP(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(hAPP(c_Public_OpublicKey(X2),X0)))))
| ~ hBOOL(c_in(X0,c_Event_Obad,tc_Message_Oagent)) ) ),
introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition]) ).
fof(f1859,plain,
( sQ7_spl
| sQ20_spl ),
inference(split_clause,[status(thm)],[f1855,f1856,f1551]) ).
fof(f1860,plain,
! [X0,X1,X2] :
( ~ hBOOL(hAPP(c_Set_Oinsert(X2,X1,tc_Message_Omsg),X0))
| ~ hBOOL(c_in(X2,c_Message_Oanalz(X1),tc_Message_Omsg))
| hBOOL(c_in(X0,c_Message_Oanalz(X1),tc_Message_Omsg)) ),
inference(resolution,[status(thm)],[f1647,f1300]) ).
fof(f2016,plain,
! [X0] :
( ~ hBOOL(c_in(c_List_Olist_ONil(tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
| ~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X0)),c_Message_Oparts(c_Event_OinitState(c_Message_Oagent_OSpy)),tc_Message_Omsg))
| hBOOL(c_in(X0,c_Event_Obad,tc_Message_Oagent)) ),
inference(paramodulation,[status(thm)],[f1073,f1290]) ).
fof(f2018,plain,
! [X0] :
( ~ hBOOL(c_in(c_List_Olist_ONil(tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
| ~ hBOOL(c_in(X0,c_Event_Obad,tc_Message_Oagent))
| hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X0)),c_Message_Oparts(c_Event_OinitState(c_Message_Oagent_OSpy)),tc_Message_Omsg)) ),
inference(paramodulation,[status(thm)],[f1073,f1288]) ).
fof(f2028,definition,
! [X0] :
( sQ21_spl
<=> ( ~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X0)),c_Message_Oparts(c_Event_OinitState(c_Message_Oagent_OSpy)),tc_Message_Omsg))
| hBOOL(c_in(X0,c_Event_Obad,tc_Message_Oagent)) ) ),
introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition]) ).
fof(f2031,definition,
( sQ22_spl
<=> hBOOL(c_in(c_List_Olist_ONil(tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))) ),
introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition]) ).
fof(f2033,plain,
( sQ22_spl
| ~ hBOOL(c_in(c_List_Olist_ONil(tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))) ),
inference(component_clause,[status(thm)],[f2031]) ).
fof(f2034,plain,
( ~ sQ22_spl
| sQ21_spl ),
inference(split_clause,[status(thm)],[f2016,f2028,f2031]) ).
fof(f2035,definition,
! [X0] :
( sQ23_spl
<=> ( ~ hBOOL(c_in(X0,c_Event_Obad,tc_Message_Oagent))
| hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X0)),c_Message_Oparts(c_Event_OinitState(c_Message_Oagent_OSpy)),tc_Message_Omsg)) ) ),
introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition]) ).
fof(f2038,plain,
( ~ sQ22_spl
| sQ23_spl ),
inference(split_clause,[status(thm)],[f2018,f2035,f2031]) ).
fof(f2055,plain,
! [X0,X1,X2] :
( c_lessequals(c_Message_Oparts(c_Set_Oinsert(X0,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),c_Message_Oparts(c_Set_Oinsert(X0,c_Event_Oknows(X1,X2),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool))
| ~ class_Lattices_Oupper__semilattice(tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(paramodulation,[status(thm)],[f845,f709]) ).
fof(f2057,definition,
( sQ24_spl
<=> class_Lattices_Oupper__semilattice(tc_fun(tc_Message_Omsg,tc_bool)) ),
introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition]) ).
fof(f2059,plain,
( sQ24_spl
| ~ class_Lattices_Oupper__semilattice(tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(component_clause,[status(thm)],[f2057]) ).
fof(f2060,definition,
! [X0,X1,X2] :
( sQ25_spl
<=> c_lessequals(c_Message_Oparts(c_Set_Oinsert(X0,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),c_Message_Oparts(c_Set_Oinsert(X0,c_Event_Oknows(X1,X2),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)) ),
introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition]) ).
fof(f2063,plain,
( sQ25_spl
| ~ sQ24_spl ),
inference(split_clause,[status(thm)],[f2055,f2057,f2060]) ).
fof(f2064,plain,
( sQ24_spl
| ~ class_Lattices_Olattice(tc_bool) ),
inference(resolution,[status(thm)],[f2059,f1308]) ).
fof(f2065,plain,
( sQ24_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2064,f1331]) ).
fof(f2066,plain,
sQ24_spl,
inference(contradiction_clause,[status(thm)],[f2065]) ).
fof(f2143,plain,
! [X0,X1,X2] :
( c_lessequals(c_Message_Oparts(c_Event_Oknows(X0,X1)),c_Message_Oparts(c_Set_Oinsert(X2,c_Event_Oknows(X0,X1),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool))
| ~ class_Lattices_Oupper__semilattice(tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(paramodulation,[status(thm)],[f845,f711]) ).
fof(f2145,definition,
! [X0,X1,X2] :
( sQ26_spl
<=> c_lessequals(c_Message_Oparts(c_Event_Oknows(X0,X1)),c_Message_Oparts(c_Set_Oinsert(X2,c_Event_Oknows(X0,X1),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)) ),
introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition]) ).
fof(f2146,plain,
! [X0,X1,X2] :
( ~ sQ26_spl
| c_lessequals(c_Message_Oparts(c_Event_Oknows(X0,X1)),c_Message_Oparts(c_Set_Oinsert(X2,c_Event_Oknows(X0,X1),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(component_clause,[status(thm)],[f2145]) ).
fof(f2148,plain,
( sQ26_spl
| ~ sQ24_spl ),
inference(split_clause,[status(thm)],[f2143,f2057,f2145]) ).
fof(f2152,definition,
( sQ27_spl
<=> class_Lattices_Olattice(tc_fun(tc_Message_Omsg,tc_bool)) ),
introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition]) ).
fof(f2154,plain,
( sQ27_spl
| ~ class_Lattices_Olattice(tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(component_clause,[status(thm)],[f2152]) ).
fof(f2168,plain,
! [X0,X1] : c_lessequals(X0,c_Message_Oparts(c_Set_Oinsert(X1,X0,tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(resolution,[status(thm)],[f830,f590]) ).
fof(f2199,plain,
! [X0,X1] : c_lessequals(X0,c_Message_Osynth(c_Set_Oinsert(X1,X0,tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(resolution,[status(thm)],[f1070,f590]) ).
fof(f2203,plain,
! [X0,X1] : c_lessequals(X0,c_Message_Oanalz(c_Set_Oinsert(X1,X0,tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(resolution,[status(thm)],[f1199,f590]) ).
fof(f2210,plain,
( hAPP(c_List_Oset(c_List_Olist_ONil(t_a),t_a),v_x) = c_Orderings_Obot__class_Obot(tc_bool)
| ~ class_Orderings_Obot(tc_bool) ),
inference(paramodulation,[status(thm)],[f634,f599]) ).
fof(f2217,definition,
( sQ28_spl
<=> class_Orderings_Obot(tc_bool) ),
introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition]) ).
fof(f2219,plain,
( sQ28_spl
| ~ class_Orderings_Obot(tc_bool) ),
inference(component_clause,[status(thm)],[f2217]) ).
fof(f2220,definition,
( sQ29_spl
<=> hAPP(c_List_Oset(c_List_Olist_ONil(t_a),t_a),v_x) = c_Orderings_Obot__class_Obot(tc_bool) ),
introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition]) ).
fof(f2223,plain,
( sQ29_spl
| ~ sQ28_spl ),
inference(split_clause,[status(thm)],[f2210,f2217,f2220]) ).
fof(f2224,plain,
( sQ28_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2219,f1333]) ).
fof(f2225,plain,
sQ28_spl,
inference(contradiction_clause,[status(thm)],[f2224]) ).
fof(f2244,plain,
! [X0,X1,X2] :
( c_Message_Oparts(c_Set_Oinsert(X0,c_Event_Oknows(X1,X2),tc_Message_Omsg)) = c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Event_Oknows(X1,X2)),c_Message_Oparts(c_Set_Oinsert(X0,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool))
| ~ class_Lattices_Oupper__semilattice(tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(paramodulation,[status(thm)],[f845,f906]) ).
fof(f2246,definition,
! [X0,X1,X2] :
( sQ30_spl
<=> c_Message_Oparts(c_Set_Oinsert(X0,c_Event_Oknows(X1,X2),tc_Message_Omsg)) = c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Event_Oknows(X1,X2)),c_Message_Oparts(c_Set_Oinsert(X0,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)) ),
introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition]) ).
fof(f2249,plain,
( sQ30_spl
| ~ sQ24_spl ),
inference(split_clause,[status(thm)],[f2244,f2057,f2246]) ).
fof(f2278,plain,
! [X0,X1] :
( ~ sQ26_spl
| c_lessequals(c_Message_Oparts(c_Event_OinitState(X0)),c_Message_Oparts(c_Set_Oinsert(X1,c_Event_Oknows(X0,c_List_Olist_ONil(tc_Event_Oevent)),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(paramodulation,[status(thm)],[f1073,f2146]) ).
fof(f2281,plain,
! [X0,X1] :
( ~ sQ26_spl
| c_lessequals(c_Message_Oparts(c_Event_OinitState(X0)),c_Message_Oparts(c_Set_Oinsert(X1,c_Event_OinitState(X0),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(forward_demodulation,[status(thm)],[f1073,f2278]) ).
fof(f2376,plain,
c_Set_Oinsert(c_Message_Oagent_OSpy,c_Event_Obad,tc_Message_Oagent) = c_Event_Obad,
inference(resolution,[status(thm)],[f987,f1293]) ).
fof(f2399,plain,
! [X0,X1] : c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X0)),c_Event_Oknows(X0,X1),tc_Message_Omsg) = c_Event_Oknows(X0,X1),
inference(resolution,[status(thm)],[f987,f1297]) ).
fof(f2400,plain,
c_Set_Oinsert(v_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) = c_NS__Shared__Mirabelle_Ons__shared,
inference(resolution,[status(thm)],[f987,f1304]) ).
fof(f2413,plain,
! [X0,X1,X2] :
( ~ hBOOL(hAPP(X1,X0))
| c_Set_Oinsert(X0,X1,X2) = X1 ),
inference(resolution,[status(thm)],[f987,f1300]) ).
fof(f2428,plain,
( ~ hBOOL(hAPP(c_NS__Shared__Mirabelle_Ons__shared,v_evs))
| c_NS__Shared__Mirabelle_Ons__shared = c_NS__Shared__Mirabelle_Ons__shared ),
inference(paramodulation,[status(thm)],[f2400,f2413]) ).
fof(f2429,plain,
( ~ hBOOL(hAPP(c_Event_Obad,c_Message_Oagent_OSpy))
| c_Event_Obad = c_Event_Obad ),
inference(paramodulation,[status(thm)],[f2376,f2413]) ).
fof(f2430,definition,
( sQ33_spl
<=> c_NS__Shared__Mirabelle_Ons__shared = c_NS__Shared__Mirabelle_Ons__shared ),
introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition]) ).
fof(f2433,definition,
( sQ34_spl
<=> hBOOL(hAPP(c_NS__Shared__Mirabelle_Ons__shared,v_evs)) ),
introduced(definition,[new_symbols(definition,[sQ34_spl])],[split_symbol_definition]) ).
fof(f2436,plain,
( ~ sQ34_spl
| sQ33_spl ),
inference(split_clause,[status(thm)],[f2428,f2430,f2433]) ).
fof(f2437,definition,
( sQ35_spl
<=> c_Event_Obad = c_Event_Obad ),
introduced(definition,[new_symbols(definition,[sQ35_spl])],[split_symbol_definition]) ).
fof(f2440,definition,
( sQ36_spl
<=> hBOOL(hAPP(c_Event_Obad,c_Message_Oagent_OSpy)) ),
introduced(definition,[new_symbols(definition,[sQ36_spl])],[split_symbol_definition]) ).
fof(f2443,plain,
( ~ sQ36_spl
| sQ35_spl ),
inference(split_clause,[status(thm)],[f2429,f2437,f2440]) ).
fof(f2508,definition,
! [X0] :
( sQ37_spl
<=> ( ~ hBOOL(c_in(X0,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg))
| hBOOL(c_in(X0,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg)) ) ),
introduced(definition,[new_symbols(definition,[sQ37_spl])],[split_symbol_definition]) ).
fof(f2511,definition,
( sQ38_spl
<=> hBOOL(c_in(hAPP(c_Public_OshrK,v_A),c_Message_OkeysFor(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs))),tc_nat)) ),
introduced(definition,[new_symbols(definition,[sQ38_spl])],[split_symbol_definition]) ).
fof(f2512,plain,
( ~ sQ38_spl
| hBOOL(c_in(hAPP(c_Public_OshrK,v_A),c_Message_OkeysFor(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs))),tc_nat)) ),
inference(component_clause,[status(thm)],[f2511]) ).
fof(f2515,definition,
! [X0] :
( sQ39_spl
<=> ( c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)) = c_Message_Oanalz(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,v_A)),X0,tc_Message_Omsg))
| c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)) != c_Message_Oanalz(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ39_spl])],[split_symbol_definition]) ).
fof(f2519,definition,
( sQ40_spl
<=> c_Message_Oanalz(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs))) = c_Message_Oanalz(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,v_A)),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs),tc_Message_Omsg)) ),
introduced(definition,[new_symbols(definition,[sQ40_spl])],[split_symbol_definition]) ).
fof(f2520,plain,
( ~ sQ40_spl
| c_Message_Oanalz(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs))) = c_Message_Oanalz(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,v_A)),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs),tc_Message_Omsg)) ),
inference(component_clause,[status(thm)],[f2519]) ).
fof(f2523,definition,
! [X0] :
( sQ41_spl
<=> ( ~ hBOOL(c_in(X0,c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,v_A)),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs),tc_Message_Omsg),tc_Message_Omsg))
| hBOOL(c_in(X0,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg)) ) ),
introduced(definition,[new_symbols(definition,[sQ41_spl])],[split_symbol_definition]) ).
fof(f2529,definition,
( sQ42_spl
<=> c_Message_Oanalz(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs))) = c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,v_A)),c_Message_Oanalz(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs))),tc_Message_Omsg) ),
introduced(definition,[new_symbols(definition,[sQ42_spl])],[split_symbol_definition]) ).
fof(f2530,plain,
( ~ sQ42_spl
| c_Message_Oanalz(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs))) = c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,v_A)),c_Message_Oanalz(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs))),tc_Message_Omsg) ),
inference(component_clause,[status(thm)],[f2529]) ).
fof(f2545,definition,
! [X0] :
( sQ44_spl
<=> ( ~ hBOOL(hAPP(c_Message_Oanalz(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs))),X0))
| hBOOL(c_in(X0,c_Message_Oanalz(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs))),tc_Message_Omsg)) ) ),
introduced(definition,[new_symbols(definition,[sQ44_spl])],[split_symbol_definition]) ).
fof(f2548,definition,
( sQ45_spl
<=> hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,v_A)),c_Message_Oanalz(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs))),tc_Message_Omsg)) ),
introduced(definition,[new_symbols(definition,[sQ45_spl])],[split_symbol_definition]) ).
fof(f2550,plain,
( sQ45_spl
| ~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,v_A)),c_Message_Oanalz(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs))),tc_Message_Omsg)) ),
inference(component_clause,[status(thm)],[f2548]) ).
fof(f2552,definition,
! [X0] :
( sQ46_spl
<=> ( ~ hBOOL(hAPP(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),X0))
| hBOOL(c_in(X0,c_Message_Oanalz(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs))),tc_Message_Omsg)) ) ),
introduced(definition,[new_symbols(definition,[sQ46_spl])],[split_symbol_definition]) ).
fof(f2556,definition,
! [X0] :
( sQ47_spl
<=> ( ~ hBOOL(c_in(X0,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg))
| hBOOL(c_in(X0,c_Message_Oanalz(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs))),tc_Message_Omsg)) ) ),
introduced(definition,[new_symbols(definition,[sQ47_spl])],[split_symbol_definition]) ).
fof(f2576,definition,
! [X0] :
( sQ50_spl
<=> ( ~ hBOOL(c_in(X0,c_Message_Oanalz(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs))),tc_Message_Omsg))
| hBOOL(c_in(X0,c_Message_Oanalz(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs))),tc_Message_Omsg)) ) ),
introduced(definition,[new_symbols(definition,[sQ50_spl])],[split_symbol_definition]) ).
fof(f2586,definition,
( sQ51_spl
<=> c_Message_Oanalz(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs))) = c_Message_Oanalz(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs))) ),
introduced(definition,[new_symbols(definition,[sQ51_spl])],[split_symbol_definition]) ).
fof(f2590,definition,
( sQ52_spl
<=> c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)) = c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)) ),
introduced(definition,[new_symbols(definition,[sQ52_spl])],[split_symbol_definition]) ).
fof(f2593,definition,
( sQ53_spl
<=> hBOOL(hAPP(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,v_A)))) ),
introduced(definition,[new_symbols(definition,[sQ53_spl])],[split_symbol_definition]) ).
fof(f2595,plain,
( sQ53_spl
| ~ hBOOL(hAPP(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,v_A)))) ),
inference(component_clause,[status(thm)],[f2593]) ).
fof(f2610,plain,
( sQ1_spl
| ~ hBOOL(c_in(v_A,c_Event_Obad,tc_Message_Oagent)) ),
inference(resolution,[status(thm)],[f1394,f1692]) ).
fof(f2611,plain,
( sQ1_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f2610,f1338,f1341]) ).
fof(f2612,plain,
( sQ45_spl
| ~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,v_A)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg)) ),
inference(forward_demodulation,[status(thm)],[f1291,f2550]) ).
fof(f2613,plain,
( ~ sQ42_spl
| c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)) = c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,v_A)),c_Message_Oanalz(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs))),tc_Message_Omsg) ),
inference(forward_demodulation,[status(thm)],[f1291,f2530]) ).
fof(f2614,plain,
( ~ sQ42_spl
| c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)) = c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,v_A)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg) ),
inference(forward_demodulation,[status(thm)],[f1291,f2613]) ).
fof(f2839,plain,
! [X0,X1,X2] :
( ~ c_lessequals(c_Message_Oparts(c_Event_Oknows(X1,X2)),c_Message_Oparts(c_Set_Oinsert(X0,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool))
| c_Message_Oparts(c_Set_Oinsert(X0,c_Event_Oknows(X1,X2),tc_Message_Omsg)) = c_Message_Oparts(c_Set_Oinsert(X0,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg))
| ~ class_Lattices_Oupper__semilattice(tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(paramodulation,[status(thm)],[f845,f861]) ).
fof(f2841,definition,
! [X0,X1,X2] :
( sQ57_spl
<=> ( ~ c_lessequals(c_Message_Oparts(c_Event_Oknows(X1,X2)),c_Message_Oparts(c_Set_Oinsert(X0,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool))
| c_Message_Oparts(c_Set_Oinsert(X0,c_Event_Oknows(X1,X2),tc_Message_Omsg)) = c_Message_Oparts(c_Set_Oinsert(X0,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)) ) ),
introduced(definition,[new_symbols(definition,[sQ57_spl])],[split_symbol_definition]) ).
fof(f2844,plain,
( sQ57_spl
| ~ sQ24_spl ),
inference(split_clause,[status(thm)],[f2839,f2057,f2841]) ).
fof(f2845,plain,
! [X0] :
( hAPP(X0,v_x) = c_Lattices_Oupper__semilattice__class_Osup(hAPP(X0,v_x),hAPP(X0,v_x),tc_bool)
| ~ class_Lattices_Olattice(tc_bool) ),
inference(paramodulation,[status(thm)],[f645,f638]) ).
fof(f2846,definition,
( sQ58_spl
<=> class_Lattices_Olattice(tc_bool) ),
introduced(definition,[new_symbols(definition,[sQ58_spl])],[split_symbol_definition]) ).
fof(f2848,plain,
( sQ58_spl
| ~ class_Lattices_Olattice(tc_bool) ),
inference(component_clause,[status(thm)],[f2846]) ).
fof(f2849,definition,
! [X0] :
( sQ59_spl
<=> hAPP(X0,v_x) = c_Lattices_Oupper__semilattice__class_Osup(hAPP(X0,v_x),hAPP(X0,v_x),tc_bool) ),
introduced(definition,[new_symbols(definition,[sQ59_spl])],[split_symbol_definition]) ).
fof(f2852,plain,
( sQ59_spl
| ~ sQ58_spl ),
inference(split_clause,[status(thm)],[f2845,f2846,f2849]) ).
fof(f2853,plain,
( sQ58_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2848,f1331]) ).
fof(f2854,plain,
sQ58_spl,
inference(contradiction_clause,[status(thm)],[f2853]) ).
fof(f2936,plain,
( ~ sQ38_spl
| c_Set_Oinsert(hAPP(c_Public_OshrK,v_A),c_Message_OkeysFor(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs))),tc_nat) = c_Message_OkeysFor(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs))) ),
inference(resolution,[status(thm)],[f2512,f987]) ).
fof(f2979,plain,
! [X0,X1] : c_Event_Oknows(X0,X1) != c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),
inference(paramodulation,[status(thm)],[f2399,f781]) ).
fof(f2988,plain,
! [X0,X1] :
( hBOOL(c_in(X1,c_Event_Obad,tc_Message_Oagent))
| c_Event_Oknows(c_Message_Oagent_OSpy,X0) != c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(paramodulation,[status(thm)],[f1275,f2979]) ).
fof(f2990,plain,
! [X0,X1] : c_Event_Oknows(X0,X1) != c_List_Oset(c_List_Olist_ONil(tc_Message_Omsg),tc_Message_Omsg),
inference(paramodulation,[status(thm)],[f634,f2979]) ).
fof(f2991,definition,
! [X0] :
( sQ60_spl
<=> c_Event_Oknows(c_Message_Oagent_OSpy,X0) != c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)) ),
introduced(definition,[new_symbols(definition,[sQ60_spl])],[split_symbol_definition]) ).
fof(f2994,plain,
( sQ7_spl
| sQ60_spl ),
inference(split_clause,[status(thm)],[f2988,f2991,f1551]) ).
fof(f2995,plain,
! [X0,X1] :
( hBOOL(c_in(X1,c_Event_Obad,tc_Message_Oagent))
| c_Event_Oknows(c_Message_Oagent_OSpy,X0) != c_List_Oset(c_List_Olist_ONil(tc_Message_Omsg),tc_Message_Omsg) ),
inference(paramodulation,[status(thm)],[f1275,f2990]) ).
fof(f2997,definition,
! [X0] :
( sQ61_spl
<=> c_Event_Oknows(c_Message_Oagent_OSpy,X0) != c_List_Oset(c_List_Olist_ONil(tc_Message_Omsg),tc_Message_Omsg) ),
introduced(definition,[new_symbols(definition,[sQ61_spl])],[split_symbol_definition]) ).
fof(f3000,plain,
( sQ7_spl
| sQ61_spl ),
inference(split_clause,[status(thm)],[f2995,f2997,f1551]) ).
fof(f3056,plain,
! [X0,X1] :
( ~ class_Lattices_Oupper__semilattice(X0)
| c_lessequals(X1,X1,X0)
| ~ class_Lattices_Oupper__semilattice(X0) ),
inference(resolution,[status(thm)],[f862,f647]) ).
fof(f3057,plain,
! [X0,X1,X2] :
( c_lessequals(c_Message_Oparts(c_Set_Oinsert(X0,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),c_Message_Oparts(c_Event_Oknows(X1,X2)),tc_fun(tc_Message_Omsg,tc_bool))
| c_Message_Oparts(c_Set_Oinsert(X0,c_Event_Oknows(X1,X2),tc_Message_Omsg)) != c_Message_Oparts(c_Event_Oknows(X1,X2))
| ~ class_Lattices_Oupper__semilattice(tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(paramodulation,[status(thm)],[f845,f862]) ).
fof(f3059,plain,
! [X0,X1] :
( c_lessequals(X1,X1,X0)
| ~ class_Lattices_Oupper__semilattice(X0) ),
inference(duplicate_literals_removal,[status(thm)],[f3056]) ).
fof(f3060,definition,
! [X0,X1,X2] :
( sQ62_spl
<=> ( c_lessequals(c_Message_Oparts(c_Set_Oinsert(X0,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),c_Message_Oparts(c_Event_Oknows(X1,X2)),tc_fun(tc_Message_Omsg,tc_bool))
| c_Message_Oparts(c_Set_Oinsert(X0,c_Event_Oknows(X1,X2),tc_Message_Omsg)) != c_Message_Oparts(c_Event_Oknows(X1,X2)) ) ),
introduced(definition,[new_symbols(definition,[sQ62_spl])],[split_symbol_definition]) ).
fof(f3063,plain,
( sQ62_spl
| ~ sQ24_spl ),
inference(split_clause,[status(thm)],[f3057,f2057,f3060]) ).
fof(f3069,plain,
! [X0,X1,X2] :
( ~ c_lessequals(c_Message_Oparts(c_Set_Oinsert(X0,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),c_Message_Oparts(c_Event_Oknows(X1,X2)),tc_fun(tc_Message_Omsg,tc_bool))
| c_Message_Oparts(c_Set_Oinsert(X0,c_Event_Oknows(X1,X2),tc_Message_Omsg)) = c_Message_Oparts(c_Event_Oknows(X1,X2))
| ~ class_Lattices_Oupper__semilattice(tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(paramodulation,[status(thm)],[f845,f863]) ).
fof(f3071,definition,
! [X0,X1,X2] :
( sQ63_spl
<=> ( ~ c_lessequals(c_Message_Oparts(c_Set_Oinsert(X0,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),c_Message_Oparts(c_Event_Oknows(X1,X2)),tc_fun(tc_Message_Omsg,tc_bool))
| c_Message_Oparts(c_Set_Oinsert(X0,c_Event_Oknows(X1,X2),tc_Message_Omsg)) = c_Message_Oparts(c_Event_Oknows(X1,X2)) ) ),
introduced(definition,[new_symbols(definition,[sQ63_spl])],[split_symbol_definition]) ).
fof(f3074,plain,
( sQ63_spl
| ~ sQ24_spl ),
inference(split_clause,[status(thm)],[f3069,f2057,f3071]) ).
fof(f3233,plain,
( sQ45_spl
| ~ sQ1_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2612,f1342]) ).
fof(f3234,plain,
( sQ45_spl
| ~ sQ1_spl ),
inference(contradiction_clause,[status(thm)],[f3233]) ).
fof(f3240,plain,
! [X0] :
( ~ sQ42_spl
| hBOOL(c_in(hAPP(c_Public_OshrK,v_A),c_Message_OkeysFor(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs))),tc_nat))
| ~ hBOOL(c_in(X0,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg))
| hBOOL(c_in(X0,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg)) ),
inference(paramodulation,[status(thm)],[f2614,f1516]) ).
fof(f3241,plain,
! [X0] :
( ~ sQ42_spl
| hBOOL(c_in(hAPP(c_Public_OshrK,v_A),c_Message_OkeysFor(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs))),tc_nat))
| c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)) = c_Message_Oanalz(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,v_A)),X0,tc_Message_Omsg))
| c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)) != c_Message_Oanalz(X0) ),
inference(paramodulation,[status(thm)],[f2614,f1430]) ).
fof(f3242,plain,
( ~ sQ42_spl
| hBOOL(c_in(hAPP(c_Public_OshrK,v_A),c_Message_OkeysFor(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs))),tc_nat))
| c_Message_Oanalz(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs))) = c_Message_Oanalz(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,v_A)),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs),tc_Message_Omsg)) ),
inference(paramodulation,[status(thm)],[f2614,f1390]) ).
fof(f3243,plain,
! [X0] :
( ~ sQ42_spl
| hBOOL(c_in(hAPP(c_Public_OshrK,v_A),c_Message_OkeysFor(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs))),tc_nat))
| ~ hBOOL(c_in(X0,c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,v_A)),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs),tc_Message_Omsg),tc_Message_Omsg))
| hBOOL(c_in(X0,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg)) ),
inference(paramodulation,[status(thm)],[f2614,f1389]) ).
fof(f3255,plain,
! [X0] :
( ~ sQ42_spl
| ~ hBOOL(hAPP(c_Message_Oanalz(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs))),X0))
| ~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,v_A)),c_Message_Oanalz(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs))),tc_Message_Omsg))
| hBOOL(c_in(X0,c_Message_Oanalz(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs))),tc_Message_Omsg)) ),
inference(paramodulation,[status(thm)],[f2614,f1648]) ).
fof(f3256,plain,
! [X0] :
( ~ sQ42_spl
| ~ hBOOL(hAPP(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),X0))
| ~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,v_A)),c_Message_Oanalz(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs))),tc_Message_Omsg))
| hBOOL(c_in(X0,c_Message_Oanalz(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs))),tc_Message_Omsg)) ),
inference(paramodulation,[status(thm)],[f2614,f1860]) ).
fof(f3257,plain,
! [X0] :
( ~ sQ42_spl
| ~ hBOOL(c_in(X0,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg))
| ~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,v_A)),c_Message_Oanalz(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs))),tc_Message_Omsg))
| hBOOL(c_in(X0,c_Message_Oanalz(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs))),tc_Message_Omsg)) ),
inference(paramodulation,[status(thm)],[f2614,f1647]) ).
fof(f3264,plain,
! [X0] :
( ~ sQ42_spl
| ~ hBOOL(c_in(X0,c_Message_Oanalz(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs))),tc_Message_Omsg))
| ~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,v_A)),c_Message_Oanalz(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs))),tc_Message_Omsg))
| hBOOL(c_in(X0,c_Message_Oanalz(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs))),tc_Message_Omsg)) ),
inference(paramodulation,[status(thm)],[f2614,f1254]) ).
fof(f3269,plain,
( ~ sQ42_spl
| ~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,v_A)),c_Message_Oanalz(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs))),tc_Message_Omsg))
| c_Message_Oanalz(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs))) = c_Message_Oanalz(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs))) ),
inference(paramodulation,[status(thm)],[f2614,f1255]) ).
fof(f3271,plain,
( ~ sQ42_spl
| ~ hBOOL(hAPP(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,v_A))))
| c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)) = c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)) ),
inference(paramodulation,[status(thm)],[f2614,f2413]) ).
fof(f3279,plain,
( ~ sQ42_spl
| sQ38_spl
| sQ37_spl ),
inference(split_clause,[status(thm)],[f3240,f2508,f2511,f2529]) ).
fof(f3280,plain,
( ~ sQ42_spl
| sQ38_spl
| sQ39_spl ),
inference(split_clause,[status(thm)],[f3241,f2515,f2511,f2529]) ).
fof(f3281,plain,
( ~ sQ42_spl
| sQ38_spl
| sQ40_spl ),
inference(split_clause,[status(thm)],[f3242,f2519,f2511,f2529]) ).
fof(f3282,plain,
( ~ sQ42_spl
| sQ38_spl
| sQ41_spl ),
inference(split_clause,[status(thm)],[f3243,f2523,f2511,f2529]) ).
fof(f3299,plain,
( ~ sQ42_spl
| ~ sQ45_spl
| sQ44_spl ),
inference(split_clause,[status(thm)],[f3255,f2545,f2548,f2529]) ).
fof(f3300,plain,
( ~ sQ42_spl
| ~ sQ45_spl
| sQ46_spl ),
inference(split_clause,[status(thm)],[f3256,f2552,f2548,f2529]) ).
fof(f3301,plain,
( ~ sQ42_spl
| ~ sQ45_spl
| sQ47_spl ),
inference(split_clause,[status(thm)],[f3257,f2556,f2548,f2529]) ).
fof(f3312,plain,
( ~ sQ42_spl
| ~ sQ45_spl
| sQ50_spl ),
inference(split_clause,[status(thm)],[f3264,f2576,f2548,f2529]) ).
fof(f3319,plain,
( ~ sQ42_spl
| ~ sQ45_spl
| sQ51_spl ),
inference(split_clause,[status(thm)],[f3269,f2586,f2548,f2529]) ).
fof(f3320,plain,
( ~ sQ42_spl
| ~ sQ53_spl
| sQ52_spl ),
inference(split_clause,[status(thm)],[f3271,f2590,f2593,f2529]) ).
fof(f3322,plain,
( ~ sQ38_spl
| ~ hBOOL(hAPP(c_Message_OkeysFor(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs))),hAPP(c_Public_OshrK,v_A)))
| c_Message_OkeysFor(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs))) = c_Message_OkeysFor(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs))) ),
inference(paramodulation,[status(thm)],[f2936,f2413]) ).
fof(f3329,definition,
( sQ68_spl
<=> c_Message_OkeysFor(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs))) = c_Message_OkeysFor(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs))) ),
introduced(definition,[new_symbols(definition,[sQ68_spl])],[split_symbol_definition]) ).
fof(f3332,definition,
( sQ69_spl
<=> hBOOL(hAPP(c_Message_OkeysFor(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs))),hAPP(c_Public_OshrK,v_A))) ),
introduced(definition,[new_symbols(definition,[sQ69_spl])],[split_symbol_definition]) ).
fof(f3335,plain,
( ~ sQ38_spl
| ~ sQ69_spl
| sQ68_spl ),
inference(split_clause,[status(thm)],[f3322,f3329,f3332,f2511]) ).
fof(f3497,plain,
( sQ22_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1276,f2033]) ).
fof(f3498,plain,
sQ22_spl,
inference(contradiction_clause,[status(thm)],[f3497]) ).
fof(f3499,plain,
c_Set_Oinsert(c_List_Olist_ONil(tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) = c_NS__Shared__Mirabelle_Ons__shared,
inference(resolution,[status(thm)],[f1276,f987]) ).
fof(f3509,definition,
( sQ70_spl
<=> hBOOL(hAPP(c_NS__Shared__Mirabelle_Ons__shared,c_List_Olist_ONil(tc_Event_Oevent))) ),
introduced(definition,[new_symbols(definition,[sQ70_spl])],[split_symbol_definition]) ).
fof(f3518,plain,
! [X0,X1] :
( hBOOL(c_in(X1,c_Event_Obad,tc_Message_Oagent))
| c_lessequals(c_Event_OinitState(c_Message_Oagent_OSpy),c_Event_Oknows(c_Message_Oagent_OSpy,X0),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(paramodulation,[status(thm)],[f1275,f778]) ).
fof(f3520,definition,
! [X0] :
( sQ71_spl
<=> c_lessequals(c_Event_OinitState(c_Message_Oagent_OSpy),c_Event_Oknows(c_Message_Oagent_OSpy,X0),tc_fun(tc_Message_Omsg,tc_bool)) ),
introduced(definition,[new_symbols(definition,[sQ71_spl])],[split_symbol_definition]) ).
fof(f3523,plain,
( sQ7_spl
| sQ71_spl ),
inference(split_clause,[status(thm)],[f3518,f3520,f1551]) ).
fof(f3531,plain,
! [X0] :
( ~ c_lessequals(c_Message_Oparts(X0),c_Message_Osynth(X0),tc_fun(tc_Message_Omsg,tc_bool))
| c_Message_Oparts(c_Message_Osynth(X0)) = c_Message_Osynth(X0)
| ~ class_Lattices_Oupper__semilattice(tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(paramodulation,[status(thm)],[f653,f863]) ).
fof(f3532,plain,
! [X0] :
( c_lessequals(c_Message_Oparts(X0),c_Message_Osynth(X0),tc_fun(tc_Message_Omsg,tc_bool))
| c_Message_Oparts(c_Message_Osynth(X0)) != c_Message_Osynth(X0)
| ~ class_Lattices_Oupper__semilattice(tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(paramodulation,[status(thm)],[f653,f862]) ).
fof(f3533,plain,
! [X0] :
( ~ c_lessequals(c_Message_Osynth(X0),c_Message_Oparts(X0),tc_fun(tc_Message_Omsg,tc_bool))
| c_Message_Oparts(c_Message_Osynth(X0)) = c_Message_Oparts(X0)
| ~ class_Lattices_Oupper__semilattice(tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(paramodulation,[status(thm)],[f653,f861]) ).
fof(f3536,plain,
! [X0] :
( c_lessequals(c_Message_Osynth(X0),c_Message_Oparts(c_Message_Osynth(X0)),tc_fun(tc_Message_Omsg,tc_bool))
| ~ class_Lattices_Oupper__semilattice(tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(paramodulation,[status(thm)],[f653,f711]) ).
fof(f3537,plain,
! [X0] :
( c_lessequals(c_Message_Oparts(X0),c_Message_Oparts(c_Message_Osynth(X0)),tc_fun(tc_Message_Omsg,tc_bool))
| ~ class_Lattices_Oupper__semilattice(tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(paramodulation,[status(thm)],[f653,f709]) ).
fof(f3542,definition,
! [X0] :
( sQ72_spl
<=> ( ~ c_lessequals(c_Message_Oparts(X0),c_Message_Osynth(X0),tc_fun(tc_Message_Omsg,tc_bool))
| c_Message_Oparts(c_Message_Osynth(X0)) = c_Message_Osynth(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ72_spl])],[split_symbol_definition]) ).
fof(f3545,plain,
( sQ72_spl
| ~ sQ24_spl ),
inference(split_clause,[status(thm)],[f3531,f2057,f3542]) ).
fof(f3546,definition,
! [X0] :
( sQ73_spl
<=> ( c_lessequals(c_Message_Oparts(X0),c_Message_Osynth(X0),tc_fun(tc_Message_Omsg,tc_bool))
| c_Message_Oparts(c_Message_Osynth(X0)) != c_Message_Osynth(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ73_spl])],[split_symbol_definition]) ).
fof(f3549,plain,
( sQ73_spl
| ~ sQ24_spl ),
inference(split_clause,[status(thm)],[f3532,f2057,f3546]) ).
fof(f3550,definition,
! [X0] :
( sQ74_spl
<=> ( ~ c_lessequals(c_Message_Osynth(X0),c_Message_Oparts(X0),tc_fun(tc_Message_Omsg,tc_bool))
| c_Message_Oparts(c_Message_Osynth(X0)) = c_Message_Oparts(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ74_spl])],[split_symbol_definition]) ).
fof(f3553,plain,
( sQ74_spl
| ~ sQ24_spl ),
inference(split_clause,[status(thm)],[f3533,f2057,f3550]) ).
fof(f3554,definition,
! [X0] :
( sQ75_spl
<=> c_lessequals(c_Message_Oparts(X0),c_Message_Oparts(c_Message_Osynth(X0)),tc_fun(tc_Message_Omsg,tc_bool)) ),
introduced(definition,[new_symbols(definition,[sQ75_spl])],[split_symbol_definition]) ).
fof(f3555,plain,
! [X0] :
( ~ sQ75_spl
| c_lessequals(c_Message_Oparts(X0),c_Message_Oparts(c_Message_Osynth(X0)),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(component_clause,[status(thm)],[f3554]) ).
fof(f3558,definition,
! [X0] :
( sQ76_spl
<=> c_lessequals(c_Message_Osynth(X0),c_Message_Oparts(c_Message_Osynth(X0)),tc_fun(tc_Message_Omsg,tc_bool)) ),
introduced(definition,[new_symbols(definition,[sQ76_spl])],[split_symbol_definition]) ).
fof(f3562,plain,
( sQ76_spl
| ~ sQ24_spl ),
inference(split_clause,[status(thm)],[f3536,f2057,f3558]) ).
fof(f3563,plain,
( sQ75_spl
| ~ sQ24_spl ),
inference(split_clause,[status(thm)],[f3537,f2057,f3554]) ).
fof(f3725,plain,
! [X0,X1] :
( ~ c_lessequals(c_Event_Oknows(X0,X1),c_Event_OinitState(X0),tc_fun(tc_Message_Omsg,tc_bool))
| c_Event_Oknows(X0,X1) = c_Event_OinitState(X0)
| ~ class_Orderings_Oorder(tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(resolution,[status(thm)],[f854,f778]) ).
fof(f3727,plain,
! [X0,X1] :
( ~ c_lessequals(c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X0,X1,tc_fun(tc_Message_Omsg,tc_bool))),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oanalz(X0),c_Message_Oanalz(X1),tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool))
| c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X0,X1,tc_fun(tc_Message_Omsg,tc_bool))) = c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oanalz(X0),c_Message_Oanalz(X1),tc_fun(tc_Message_Omsg,tc_bool))
| ~ class_Orderings_Oorder(tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(resolution,[status(thm)],[f854,f648]) ).
fof(f3728,plain,
! [X0] :
( ~ c_lessequals(c_Message_Oparts(X0),c_Message_Oanalz(X0),tc_fun(tc_Message_Omsg,tc_bool))
| c_Message_Oparts(X0) = c_Message_Oanalz(X0)
| ~ class_Orderings_Oorder(tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(resolution,[status(thm)],[f854,f946]) ).
fof(f3732,plain,
! [X0,X1] :
( ~ sQ26_spl
| ~ c_lessequals(c_Message_Oparts(c_Set_Oinsert(X0,c_Event_OinitState(X1),tc_Message_Omsg)),c_Message_Oparts(c_Event_OinitState(X1)),tc_fun(tc_Message_Omsg,tc_bool))
| c_Message_Oparts(c_Set_Oinsert(X0,c_Event_OinitState(X1),tc_Message_Omsg)) = c_Message_Oparts(c_Event_OinitState(X1))
| ~ class_Orderings_Oorder(tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(resolution,[status(thm)],[f854,f2281]) ).
fof(f3733,plain,
! [X0,X1,X2] :
( ~ sQ26_spl
| ~ c_lessequals(c_Message_Oparts(c_Set_Oinsert(X0,c_Event_Oknows(X1,X2),tc_Message_Omsg)),c_Message_Oparts(c_Event_Oknows(X1,X2)),tc_fun(tc_Message_Omsg,tc_bool))
| c_Message_Oparts(c_Set_Oinsert(X0,c_Event_Oknows(X1,X2),tc_Message_Omsg)) = c_Message_Oparts(c_Event_Oknows(X1,X2))
| ~ class_Orderings_Oorder(tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(resolution,[status(thm)],[f854,f2146]) ).
fof(f3734,plain,
! [X0,X1] :
( ~ hBOOL(c_in(X1,c_Event_Oused(X0),tc_Message_Omsg))
| ~ c_lessequals(c_Event_Oused(X0),c_Message_Oparts(c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool))
| c_Event_Oused(X0) = c_Message_Oparts(c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg))
| ~ class_Orderings_Oorder(tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(resolution,[status(thm)],[f854,f608]) ).
fof(f3735,plain,
! [X0,X1] :
( ~ hBOOL(c_in(X1,c_Message_Osynth(c_Message_Oanalz(X0)),tc_Message_Omsg))
| ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(c_Message_Oanalz(X0)),c_Message_Oparts(X0),tc_fun(tc_Message_Omsg,tc_bool)),c_Message_Oparts(c_Set_Oinsert(X1,X0,tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool))
| c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(c_Message_Oanalz(X0)),c_Message_Oparts(X0),tc_fun(tc_Message_Omsg,tc_bool)) = c_Message_Oparts(c_Set_Oinsert(X1,X0,tc_Message_Omsg))
| ~ class_Orderings_Oorder(tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(resolution,[status(thm)],[f854,f593]) ).
fof(f3736,plain,
! [X0,X1] :
( ~ c_lessequals(X1,X0,tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(c_Message_Oparts(X0),c_Message_Oparts(X1),tc_fun(tc_Message_Omsg,tc_bool))
| c_Message_Oparts(X0) = c_Message_Oparts(X1)
| ~ class_Orderings_Oorder(tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(resolution,[status(thm)],[f854,f624]) ).
fof(f3737,plain,
! [X0] :
( ~ c_lessequals(c_Message_Oanalz(X0),X0,tc_fun(tc_Message_Omsg,tc_bool))
| c_Message_Oanalz(X0) = X0
| ~ class_Orderings_Oorder(tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(resolution,[status(thm)],[f854,f1199]) ).
fof(f3738,plain,
! [X0] :
( ~ c_lessequals(c_Message_Osynth(X0),X0,tc_fun(tc_Message_Omsg,tc_bool))
| c_Message_Osynth(X0) = X0
| ~ class_Orderings_Oorder(tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(resolution,[status(thm)],[f854,f1070]) ).
fof(f3739,plain,
! [X0] :
( ~ c_lessequals(c_Message_Oparts(X0),X0,tc_fun(tc_Message_Omsg,tc_bool))
| c_Message_Oparts(X0) = X0
| ~ class_Orderings_Oorder(tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(resolution,[status(thm)],[f854,f830]) ).
fof(f3751,definition,
( sQ78_spl
<=> class_Orderings_Oorder(tc_fun(tc_Message_Omsg,tc_bool)) ),
introduced(definition,[new_symbols(definition,[sQ78_spl])],[split_symbol_definition]) ).
fof(f3753,plain,
( sQ78_spl
| ~ class_Orderings_Oorder(tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(component_clause,[status(thm)],[f3751]) ).
fof(f3754,definition,
! [X0,X1] :
( sQ79_spl
<=> ( ~ c_lessequals(c_Event_Oknows(X0,X1),c_Event_OinitState(X0),tc_fun(tc_Message_Omsg,tc_bool))
| c_Event_Oknows(X0,X1) = c_Event_OinitState(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ79_spl])],[split_symbol_definition]) ).
fof(f3757,plain,
( sQ79_spl
| ~ sQ78_spl ),
inference(split_clause,[status(thm)],[f3725,f3751,f3754]) ).
fof(f3758,definition,
! [X0,X1] :
( sQ80_spl
<=> ( ~ c_lessequals(c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X0,X1,tc_fun(tc_Message_Omsg,tc_bool))),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oanalz(X0),c_Message_Oanalz(X1),tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool))
| c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X0,X1,tc_fun(tc_Message_Omsg,tc_bool))) = c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oanalz(X0),c_Message_Oanalz(X1),tc_fun(tc_Message_Omsg,tc_bool)) ) ),
introduced(definition,[new_symbols(definition,[sQ80_spl])],[split_symbol_definition]) ).
fof(f3761,plain,
( sQ80_spl
| ~ sQ78_spl ),
inference(split_clause,[status(thm)],[f3727,f3751,f3758]) ).
fof(f3762,definition,
! [X0] :
( sQ81_spl
<=> ( ~ c_lessequals(c_Message_Oparts(X0),c_Message_Oanalz(X0),tc_fun(tc_Message_Omsg,tc_bool))
| c_Message_Oparts(X0) = c_Message_Oanalz(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ81_spl])],[split_symbol_definition]) ).
fof(f3765,plain,
( sQ81_spl
| ~ sQ78_spl ),
inference(split_clause,[status(thm)],[f3728,f3751,f3762]) ).
fof(f3766,definition,
! [X0,X1] :
( sQ82_spl
<=> ( ~ c_lessequals(c_Message_Oparts(c_Set_Oinsert(X0,c_Event_OinitState(X1),tc_Message_Omsg)),c_Message_Oparts(c_Event_OinitState(X1)),tc_fun(tc_Message_Omsg,tc_bool))
| c_Message_Oparts(c_Set_Oinsert(X0,c_Event_OinitState(X1),tc_Message_Omsg)) = c_Message_Oparts(c_Event_OinitState(X1)) ) ),
introduced(definition,[new_symbols(definition,[sQ82_spl])],[split_symbol_definition]) ).
fof(f3769,plain,
( ~ sQ26_spl
| sQ82_spl
| ~ sQ78_spl ),
inference(split_clause,[status(thm)],[f3732,f3751,f3766,f2145]) ).
fof(f3770,definition,
! [X0,X1,X2] :
( sQ83_spl
<=> ( ~ c_lessequals(c_Message_Oparts(c_Set_Oinsert(X0,c_Event_Oknows(X1,X2),tc_Message_Omsg)),c_Message_Oparts(c_Event_Oknows(X1,X2)),tc_fun(tc_Message_Omsg,tc_bool))
| c_Message_Oparts(c_Set_Oinsert(X0,c_Event_Oknows(X1,X2),tc_Message_Omsg)) = c_Message_Oparts(c_Event_Oknows(X1,X2)) ) ),
introduced(definition,[new_symbols(definition,[sQ83_spl])],[split_symbol_definition]) ).
fof(f3773,plain,
( ~ sQ26_spl
| sQ83_spl
| ~ sQ78_spl ),
inference(split_clause,[status(thm)],[f3733,f3751,f3770,f2145]) ).
fof(f3774,definition,
! [X0,X1] :
( sQ84_spl
<=> ( ~ hBOOL(c_in(X1,c_Event_Oused(X0),tc_Message_Omsg))
| ~ c_lessequals(c_Event_Oused(X0),c_Message_Oparts(c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool))
| c_Event_Oused(X0) = c_Message_Oparts(c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)) ) ),
introduced(definition,[new_symbols(definition,[sQ84_spl])],[split_symbol_definition]) ).
fof(f3777,plain,
( sQ84_spl
| ~ sQ78_spl ),
inference(split_clause,[status(thm)],[f3734,f3751,f3774]) ).
fof(f3778,definition,
! [X0,X1] :
( sQ85_spl
<=> ( ~ hBOOL(c_in(X1,c_Message_Osynth(c_Message_Oanalz(X0)),tc_Message_Omsg))
| ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(c_Message_Oanalz(X0)),c_Message_Oparts(X0),tc_fun(tc_Message_Omsg,tc_bool)),c_Message_Oparts(c_Set_Oinsert(X1,X0,tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool))
| c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(c_Message_Oanalz(X0)),c_Message_Oparts(X0),tc_fun(tc_Message_Omsg,tc_bool)) = c_Message_Oparts(c_Set_Oinsert(X1,X0,tc_Message_Omsg)) ) ),
introduced(definition,[new_symbols(definition,[sQ85_spl])],[split_symbol_definition]) ).
fof(f3781,plain,
( sQ85_spl
| ~ sQ78_spl ),
inference(split_clause,[status(thm)],[f3735,f3751,f3778]) ).
fof(f3782,definition,
! [X0,X1] :
( sQ86_spl
<=> ( ~ c_lessequals(X1,X0,tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(c_Message_Oparts(X0),c_Message_Oparts(X1),tc_fun(tc_Message_Omsg,tc_bool))
| c_Message_Oparts(X0) = c_Message_Oparts(X1) ) ),
introduced(definition,[new_symbols(definition,[sQ86_spl])],[split_symbol_definition]) ).
fof(f3785,plain,
( sQ86_spl
| ~ sQ78_spl ),
inference(split_clause,[status(thm)],[f3736,f3751,f3782]) ).
fof(f3786,definition,
! [X0] :
( sQ87_spl
<=> ( ~ c_lessequals(c_Message_Oanalz(X0),X0,tc_fun(tc_Message_Omsg,tc_bool))
| c_Message_Oanalz(X0) = X0 ) ),
introduced(definition,[new_symbols(definition,[sQ87_spl])],[split_symbol_definition]) ).
fof(f3787,plain,
! [X0] :
( ~ sQ87_spl
| ~ c_lessequals(c_Message_Oanalz(X0),X0,tc_fun(tc_Message_Omsg,tc_bool))
| c_Message_Oanalz(X0) = X0 ),
inference(component_clause,[status(thm)],[f3786]) ).
fof(f3789,plain,
( sQ87_spl
| ~ sQ78_spl ),
inference(split_clause,[status(thm)],[f3737,f3751,f3786]) ).
fof(f3790,definition,
! [X0] :
( sQ88_spl
<=> ( ~ c_lessequals(c_Message_Osynth(X0),X0,tc_fun(tc_Message_Omsg,tc_bool))
| c_Message_Osynth(X0) = X0 ) ),
introduced(definition,[new_symbols(definition,[sQ88_spl])],[split_symbol_definition]) ).
fof(f3791,plain,
! [X0] :
( ~ sQ88_spl
| ~ c_lessequals(c_Message_Osynth(X0),X0,tc_fun(tc_Message_Omsg,tc_bool))
| c_Message_Osynth(X0) = X0 ),
inference(component_clause,[status(thm)],[f3790]) ).
fof(f3793,plain,
( sQ88_spl
| ~ sQ78_spl ),
inference(split_clause,[status(thm)],[f3738,f3751,f3790]) ).
fof(f3794,definition,
! [X0] :
( sQ89_spl
<=> ( ~ c_lessequals(c_Message_Oparts(X0),X0,tc_fun(tc_Message_Omsg,tc_bool))
| c_Message_Oparts(X0) = X0 ) ),
introduced(definition,[new_symbols(definition,[sQ89_spl])],[split_symbol_definition]) ).
fof(f3795,plain,
! [X0] :
( ~ sQ89_spl
| ~ c_lessequals(c_Message_Oparts(X0),X0,tc_fun(tc_Message_Omsg,tc_bool))
| c_Message_Oparts(X0) = X0 ),
inference(component_clause,[status(thm)],[f3794]) ).
fof(f3797,plain,
( sQ89_spl
| ~ sQ78_spl ),
inference(split_clause,[status(thm)],[f3739,f3751,f3794]) ).
fof(f3798,plain,
( sQ78_spl
| ~ class_Orderings_Oorder(tc_bool) ),
inference(resolution,[status(thm)],[f3753,f1316]) ).
fof(f3799,plain,
( sQ78_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3798,f1332]) ).
fof(f3800,plain,
sQ78_spl,
inference(contradiction_clause,[status(thm)],[f3799]) ).
fof(f3807,plain,
! [X0,X1,X2] :
( c_Message_Oparts(c_Set_Oinsert(X0,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)) = c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool))
| c_Message_Oparts(c_Set_Oinsert(X0,c_Event_Oknows(X1,X2),tc_Message_Omsg)) != c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool))
| ~ class_Lattices_Obounded__lattice(tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(paramodulation,[status(thm)],[f845,f893]) ).
fof(f3808,plain,
! [X0] :
( c_Message_Oparts(X0) = c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool))
| c_Message_Oparts(c_Message_Osynth(X0)) != c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool))
| ~ class_Lattices_Obounded__lattice(tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(paramodulation,[status(thm)],[f653,f893]) ).
fof(f3810,definition,
( sQ90_spl
<=> class_Lattices_Obounded__lattice(tc_fun(tc_Message_Omsg,tc_bool)) ),
introduced(definition,[new_symbols(definition,[sQ90_spl])],[split_symbol_definition]) ).
fof(f3812,plain,
( sQ90_spl
| ~ class_Lattices_Obounded__lattice(tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(component_clause,[status(thm)],[f3810]) ).
fof(f3813,definition,
! [X0,X1,X2] :
( sQ91_spl
<=> ( c_Message_Oparts(c_Set_Oinsert(X0,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)) = c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool))
| c_Message_Oparts(c_Set_Oinsert(X0,c_Event_Oknows(X1,X2),tc_Message_Omsg)) != c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)) ) ),
introduced(definition,[new_symbols(definition,[sQ91_spl])],[split_symbol_definition]) ).
fof(f3816,plain,
( sQ91_spl
| ~ sQ90_spl ),
inference(split_clause,[status(thm)],[f3807,f3810,f3813]) ).
fof(f3817,definition,
! [X0] :
( sQ92_spl
<=> ( c_Message_Oparts(X0) = c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool))
| c_Message_Oparts(c_Message_Osynth(X0)) != c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)) ) ),
introduced(definition,[new_symbols(definition,[sQ92_spl])],[split_symbol_definition]) ).
fof(f3820,plain,
( sQ92_spl
| ~ sQ90_spl ),
inference(split_clause,[status(thm)],[f3808,f3810,f3817]) ).
fof(f3821,plain,
( sQ90_spl
| ~ class_Lattices_Obounded__lattice(tc_bool) ),
inference(resolution,[status(thm)],[f3812,f1310]) ).
fof(f3822,plain,
( sQ90_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3821,f1329]) ).
fof(f3823,plain,
sQ90_spl,
inference(contradiction_clause,[status(thm)],[f3822]) ).
fof(f3830,plain,
! [X0,X1,X2] :
( c_Message_Oparts(c_Event_Oknows(X1,X2)) = c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool))
| c_Message_Oparts(c_Set_Oinsert(X0,c_Event_Oknows(X1,X2),tc_Message_Omsg)) != c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool))
| ~ class_Lattices_Obounded__lattice(tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(paramodulation,[status(thm)],[f845,f895]) ).
fof(f3831,plain,
! [X0] :
( c_Message_Osynth(X0) = c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool))
| c_Message_Oparts(c_Message_Osynth(X0)) != c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool))
| ~ class_Lattices_Obounded__lattice(tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(paramodulation,[status(thm)],[f653,f895]) ).
fof(f3833,definition,
! [X0,X1,X2] :
( sQ93_spl
<=> ( c_Message_Oparts(c_Event_Oknows(X1,X2)) = c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool))
| c_Message_Oparts(c_Set_Oinsert(X0,c_Event_Oknows(X1,X2),tc_Message_Omsg)) != c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)) ) ),
introduced(definition,[new_symbols(definition,[sQ93_spl])],[split_symbol_definition]) ).
fof(f3836,plain,
( sQ93_spl
| ~ sQ90_spl ),
inference(split_clause,[status(thm)],[f3830,f3810,f3833]) ).
fof(f3837,definition,
! [X0] :
( sQ94_spl
<=> ( c_Message_Osynth(X0) = c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool))
| c_Message_Oparts(c_Message_Osynth(X0)) != c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)) ) ),
introduced(definition,[new_symbols(definition,[sQ94_spl])],[split_symbol_definition]) ).
fof(f3840,plain,
( sQ94_spl
| ~ sQ90_spl ),
inference(split_clause,[status(thm)],[f3831,f3810,f3837]) ).
fof(f4045,plain,
! [X0] : c_Set_Oinsert(X0,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) = c_Set_Oinsert(v_evs,c_Set_Oinsert(X0,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)),tc_List_Olist(tc_Event_Oevent)),
inference(paramodulation,[status(thm)],[f2400,f661]) ).
fof(f4046,plain,
! [X0] : c_Set_Oinsert(X0,c_Event_Obad,tc_Message_Oagent) = c_Set_Oinsert(c_Message_Oagent_OSpy,c_Set_Oinsert(X0,c_Event_Obad,tc_Message_Oagent),tc_Message_Oagent),
inference(paramodulation,[status(thm)],[f2376,f661]) ).
fof(f4142,plain,
! [X0,X1,X2,X3] : hBOOL(hAPP(c_Set_Oinsert(X0,c_Set_Oinsert(X1,X2,X3),X3),X1)),
inference(paramodulation,[status(thm)],[f661,f1052]) ).
fof(f4236,plain,
! [X0] : hBOOL(hAPP(c_Set_Oinsert(X0,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)),v_evs)),
inference(paramodulation,[status(thm)],[f4045,f1052]) ).
fof(f4313,plain,
! [X0] : hBOOL(hAPP(c_Set_Oinsert(X0,c_Event_Obad,tc_Message_Oagent),c_Message_Oagent_OSpy)),
inference(paramodulation,[status(thm)],[f4046,f1052]) ).
fof(f4385,plain,
! [X0] : hBOOL(hAPP(c_Set_Oinsert(X0,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)),c_List_Olist_ONil(tc_Event_Oevent))),
inference(paramodulation,[status(thm)],[f3499,f4142]) ).
fof(f4388,plain,
! [X0,X1] : hBOOL(hAPP(c_Set_Oinsert(X0,c_Set_Oinsert(X1,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)),tc_List_Olist(tc_Event_Oevent)),v_evs)),
inference(paramodulation,[status(thm)],[f4045,f4142]) ).
fof(f4390,plain,
! [X0,X1] : hBOOL(hAPP(c_Set_Oinsert(X0,c_Set_Oinsert(X1,c_Event_Obad,tc_Message_Oagent),tc_Message_Oagent),c_Message_Oagent_OSpy)),
inference(paramodulation,[status(thm)],[f4046,f4142]) ).
fof(f4392,plain,
! [X0] :
( ~ sQ38_spl
| hBOOL(hAPP(c_Set_Oinsert(X0,c_Message_OkeysFor(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs))),tc_nat),hAPP(c_Public_OshrK,v_A))) ),
inference(paramodulation,[status(thm)],[f2936,f4142]) ).
fof(f4395,plain,
! [X0,X1,X2] : hBOOL(hAPP(c_Set_Oinsert(X0,c_Event_Oknows(X1,X2),tc_Message_Omsg),hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X1)))),
inference(paramodulation,[status(thm)],[f2399,f4142]) ).
fof(f4397,plain,
! [X0,X1,X2,X3,X4] : hBOOL(hAPP(c_Set_Oinsert(X0,c_Set_Oinsert(X1,c_Set_Oinsert(X2,X3,X4),X4),X4),X2)),
inference(paramodulation,[status(thm)],[f661,f4142]) ).
fof(f4483,plain,
! [X0,X1] : c_Lattices_Oupper__semilattice__class_Osup(c_List_Oset(c_List_Olist_ONil(X0),X0),X1,tc_fun(X0,tc_bool)) = X1,
inference(paramodulation,[status(thm)],[f634,f826]) ).
fof(f4486,plain,
! [X0] :
( hAPP(X0,v_x) = c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),v_x),hAPP(X0,v_x),tc_bool)
| ~ class_Lattices_Olattice(tc_bool) ),
inference(paramodulation,[status(thm)],[f826,f638]) ).
fof(f4508,definition,
! [X0] :
( sQ96_spl
<=> hAPP(X0,v_x) = c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),v_x),hAPP(X0,v_x),tc_bool) ),
introduced(definition,[new_symbols(definition,[sQ96_spl])],[split_symbol_definition]) ).
fof(f4511,plain,
( sQ96_spl
| ~ sQ58_spl ),
inference(split_clause,[status(thm)],[f4486,f2846,f4508]) ).
fof(f4519,plain,
! [X0] :
( hAPP(X0,v_x) = c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_List_Oset(c_List_Olist_ONil(t_a),t_a),v_x),hAPP(X0,v_x),tc_bool)
| ~ class_Lattices_Olattice(tc_bool) ),
inference(paramodulation,[status(thm)],[f4483,f638]) ).
fof(f4537,definition,
! [X0] :
( sQ97_spl
<=> hAPP(X0,v_x) = c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_List_Oset(c_List_Olist_ONil(t_a),t_a),v_x),hAPP(X0,v_x),tc_bool) ),
introduced(definition,[new_symbols(definition,[sQ97_spl])],[split_symbol_definition]) ).
fof(f4540,plain,
( sQ97_spl
| ~ sQ58_spl ),
inference(split_clause,[status(thm)],[f4519,f2846,f4537]) ).
fof(f4549,plain,
! [X0,X1] : c_Lattices_Oupper__semilattice__class_Osup(X0,c_List_Oset(c_List_Olist_ONil(X1),X1),tc_fun(X1,tc_bool)) = X0,
inference(paramodulation,[status(thm)],[f634,f827]) ).
fof(f4554,plain,
! [X0] :
( hAPP(X0,v_x) = c_Lattices_Oupper__semilattice__class_Osup(hAPP(X0,v_x),hAPP(c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),v_x),tc_bool)
| ~ class_Lattices_Olattice(tc_bool) ),
inference(paramodulation,[status(thm)],[f827,f638]) ).
fof(f4573,definition,
! [X0] :
( sQ98_spl
<=> hAPP(X0,v_x) = c_Lattices_Oupper__semilattice__class_Osup(hAPP(X0,v_x),hAPP(c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),v_x),tc_bool) ),
introduced(definition,[new_symbols(definition,[sQ98_spl])],[split_symbol_definition]) ).
fof(f4576,plain,
( sQ98_spl
| ~ sQ58_spl ),
inference(split_clause,[status(thm)],[f4554,f2846,f4573]) ).
fof(f4579,plain,
! [X0,X1] :
( ~ c_lessequals(c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(X0,X1,tc_fun(tc_Message_Omsg,tc_bool))),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(X0),c_Message_Oparts(X1),tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool))
| c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(X0,X1,tc_fun(tc_Message_Omsg,tc_bool))) = c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(X0),c_Message_Oparts(X1),tc_fun(tc_Message_Omsg,tc_bool))
| ~ class_Orderings_Oorder(tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(resolution,[status(thm)],[f664,f854]) ).
fof(f4594,definition,
! [X0,X1] :
( sQ99_spl
<=> ( ~ c_lessequals(c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(X0,X1,tc_fun(tc_Message_Omsg,tc_bool))),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(X0),c_Message_Oparts(X1),tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool))
| c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(X0,X1,tc_fun(tc_Message_Omsg,tc_bool))) = c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(X0),c_Message_Oparts(X1),tc_fun(tc_Message_Omsg,tc_bool)) ) ),
introduced(definition,[new_symbols(definition,[sQ99_spl])],[split_symbol_definition]) ).
fof(f4597,plain,
( sQ99_spl
| ~ sQ78_spl ),
inference(split_clause,[status(thm)],[f4579,f3751,f4594]) ).
fof(f4606,plain,
! [X0,X1] :
( ~ c_lessequals(c_Message_Osynth(X1),c_Message_Osynth(X0),tc_fun(tc_Message_Omsg,tc_bool))
| c_Message_Osynth(X1) = c_Message_Osynth(X0)
| ~ class_Orderings_Oorder(tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(X0,c_Message_Osynth(X1),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(resolution,[status(thm)],[f670,f854]) ).
fof(f4609,definition,
! [X0,X1] :
( sQ100_spl
<=> ( ~ c_lessequals(c_Message_Osynth(X1),c_Message_Osynth(X0),tc_fun(tc_Message_Omsg,tc_bool))
| c_Message_Osynth(X1) = c_Message_Osynth(X0)
| ~ c_lessequals(X0,c_Message_Osynth(X1),tc_fun(tc_Message_Omsg,tc_bool)) ) ),
introduced(definition,[new_symbols(definition,[sQ100_spl])],[split_symbol_definition]) ).
fof(f4612,plain,
( ~ sQ78_spl
| sQ100_spl ),
inference(split_clause,[status(thm)],[f4606,f4609,f3751]) ).
fof(f4783,plain,
! [X0] :
( hAPP(X0,v_x) = c_Lattices_Oupper__semilattice__class_Osup(hAPP(X0,v_x),hAPP(c_List_Oset(c_List_Olist_ONil(t_a),t_a),v_x),tc_bool)
| ~ class_Lattices_Olattice(tc_bool) ),
inference(paramodulation,[status(thm)],[f4549,f638]) ).
fof(f4802,definition,
! [X0] :
( sQ102_spl
<=> hAPP(X0,v_x) = c_Lattices_Oupper__semilattice__class_Osup(hAPP(X0,v_x),hAPP(c_List_Oset(c_List_Olist_ONil(t_a),t_a),v_x),tc_bool) ),
introduced(definition,[new_symbols(definition,[sQ102_spl])],[split_symbol_definition]) ).
fof(f4805,plain,
( sQ102_spl
| ~ sQ58_spl ),
inference(split_clause,[status(thm)],[f4783,f2846,f4802]) ).
fof(f4959,plain,
! [X0] :
( ~ sQ75_spl
| ~ c_lessequals(c_Message_Oparts(c_Message_Osynth(X0)),c_Message_Oparts(X0),tc_fun(tc_Message_Omsg,tc_bool))
| c_Message_Oparts(c_Message_Osynth(X0)) = c_Message_Oparts(X0)
| ~ class_Orderings_Oorder(tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(resolution,[status(thm)],[f3555,f854]) ).
fof(f4961,plain,
! [X0] :
( ~ sQ75_spl
| c_lessequals(c_Message_Oparts(X0),c_Message_Oparts(c_Message_Osynth(c_Message_Oanalz(X0))),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(paramodulation,[status(thm)],[f1191,f3555]) ).
fof(f4962,plain,
! [X0] :
( ~ sQ75_spl
| c_lessequals(c_Message_Oparts(X0),c_Message_Oparts(c_Message_Osynth(c_Message_Oparts(X0))),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(paramodulation,[status(thm)],[f850,f3555]) ).
fof(f4964,definition,
! [X0] :
( sQ103_spl
<=> ( ~ c_lessequals(c_Message_Oparts(c_Message_Osynth(X0)),c_Message_Oparts(X0),tc_fun(tc_Message_Omsg,tc_bool))
| c_Message_Oparts(c_Message_Osynth(X0)) = c_Message_Oparts(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ103_spl])],[split_symbol_definition]) ).
fof(f4967,plain,
( ~ sQ75_spl
| sQ103_spl
| ~ sQ78_spl ),
inference(split_clause,[status(thm)],[f4959,f3751,f4964,f3554]) ).
fof(f4969,plain,
! [X0] :
( ~ sQ87_spl
| c_lessequals(X0,c_Message_Oanalz(X0),tc_fun(tc_Message_Omsg,tc_bool))
| ~ class_Orderings_Olinorder(tc_fun(tc_Message_Omsg,tc_bool))
| c_Message_Oanalz(X0) = X0 ),
inference(resolution,[status(thm)],[f3787,f1170]) ).
fof(f4975,definition,
! [X0] :
( sQ104_spl
<=> ( c_lessequals(X0,c_Message_Oanalz(X0),tc_fun(tc_Message_Omsg,tc_bool))
| c_Message_Oanalz(X0) = X0 ) ),
introduced(definition,[new_symbols(definition,[sQ104_spl])],[split_symbol_definition]) ).
fof(f4978,definition,
( sQ105_spl
<=> class_Orderings_Olinorder(tc_fun(tc_Message_Omsg,tc_bool)) ),
introduced(definition,[new_symbols(definition,[sQ105_spl])],[split_symbol_definition]) ).
fof(f4981,plain,
( ~ sQ87_spl
| ~ sQ105_spl
| sQ104_spl ),
inference(split_clause,[status(thm)],[f4969,f4975,f4978,f3786]) ).
fof(f4985,plain,
! [X0] :
( ~ sQ88_spl
| c_lessequals(X0,c_Message_Osynth(X0),tc_fun(tc_Message_Omsg,tc_bool))
| ~ class_Orderings_Olinorder(tc_fun(tc_Message_Omsg,tc_bool))
| c_Message_Osynth(X0) = X0 ),
inference(resolution,[status(thm)],[f3791,f1170]) ).
fof(f4987,definition,
! [X0] :
( sQ106_spl
<=> ( c_lessequals(X0,c_Message_Osynth(X0),tc_fun(tc_Message_Omsg,tc_bool))
| c_Message_Osynth(X0) = X0 ) ),
introduced(definition,[new_symbols(definition,[sQ106_spl])],[split_symbol_definition]) ).
fof(f4990,plain,
( ~ sQ88_spl
| ~ sQ105_spl
| sQ106_spl ),
inference(split_clause,[status(thm)],[f4985,f4987,f4978,f3790]) ).
fof(f4993,plain,
! [X0] :
( ~ sQ89_spl
| c_lessequals(X0,c_Message_Oparts(X0),tc_fun(tc_Message_Omsg,tc_bool))
| ~ class_Orderings_Olinorder(tc_fun(tc_Message_Omsg,tc_bool))
| c_Message_Oparts(X0) = X0 ),
inference(resolution,[status(thm)],[f3795,f1170]) ).
fof(f4997,definition,
! [X0] :
( sQ107_spl
<=> ( c_lessequals(X0,c_Message_Oparts(X0),tc_fun(tc_Message_Omsg,tc_bool))
| c_Message_Oparts(X0) = X0 ) ),
introduced(definition,[new_symbols(definition,[sQ107_spl])],[split_symbol_definition]) ).
fof(f5000,plain,
( ~ sQ89_spl
| ~ sQ105_spl
| sQ107_spl ),
inference(split_clause,[status(thm)],[f4993,f4997,f4978,f3794]) ).
fof(f5006,plain,
! [X0] :
( ~ class_Lattices_Oupper__semilattice(tc_fun(tc_Message_Omsg,tc_bool))
| c_lessequals(X0,c_Message_Osynth(X0),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(resolution,[status(thm)],[f671,f3059]) ).
fof(f5007,plain,
! [X0,X1] :
( c_lessequals(c_Message_Osynth(X1),c_Message_Osynth(X0),tc_fun(tc_Message_Omsg,tc_bool))
| ~ class_Orderings_Olinorder(tc_fun(tc_Message_Omsg,tc_bool))
| c_lessequals(X0,c_Message_Osynth(X1),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(resolution,[status(thm)],[f671,f1170]) ).
fof(f5013,definition,
! [X0] :
( sQ108_spl
<=> c_lessequals(X0,c_Message_Osynth(X0),tc_fun(tc_Message_Omsg,tc_bool)) ),
introduced(definition,[new_symbols(definition,[sQ108_spl])],[split_symbol_definition]) ).
fof(f5016,plain,
( ~ sQ24_spl
| sQ108_spl ),
inference(split_clause,[status(thm)],[f5006,f5013,f2057]) ).
fof(f5017,definition,
! [X0,X1] :
( sQ109_spl
<=> ( c_lessequals(c_Message_Osynth(X1),c_Message_Osynth(X0),tc_fun(tc_Message_Omsg,tc_bool))
| c_lessequals(X0,c_Message_Osynth(X1),tc_fun(tc_Message_Omsg,tc_bool)) ) ),
introduced(definition,[new_symbols(definition,[sQ109_spl])],[split_symbol_definition]) ).
fof(f5020,plain,
( ~ sQ105_spl
| sQ109_spl ),
inference(split_clause,[status(thm)],[f5007,f5017,f4978]) ).
fof(f5036,plain,
! [X0,X1,X2,X3] :
( c_Event_Oused(X3) = c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool))
| c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_OSays(X0,X1,X2),X3,tc_Event_Oevent)) != c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool))
| ~ class_Lattices_Obounded__lattice(tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(paramodulation,[status(thm)],[f672,f895]) ).
fof(f5037,plain,
! [X0,X1,X2,X3] :
( c_Message_Oparts(c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)) = c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool))
| c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_OSays(X0,X1,X2),X3,tc_Event_Oevent)) != c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool))
| ~ class_Lattices_Obounded__lattice(tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(paramodulation,[status(thm)],[f672,f893]) ).
fof(f5038,plain,
! [X0,X1,X2,X3] :
( ~ c_lessequals(c_Message_Oparts(c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),c_Event_Oused(X3),tc_fun(tc_Message_Omsg,tc_bool))
| c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_OSays(X0,X1,X2),X3,tc_Event_Oevent)) = c_Event_Oused(X3)
| ~ class_Lattices_Oupper__semilattice(tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(paramodulation,[status(thm)],[f672,f863]) ).
fof(f5039,plain,
! [X0,X1,X2,X3] :
( c_lessequals(c_Message_Oparts(c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),c_Event_Oused(X3),tc_fun(tc_Message_Omsg,tc_bool))
| c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_OSays(X0,X1,X2),X3,tc_Event_Oevent)) != c_Event_Oused(X3)
| ~ class_Lattices_Oupper__semilattice(tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(paramodulation,[status(thm)],[f672,f862]) ).
fof(f5040,plain,
! [X0,X1,X2,X3] :
( ~ c_lessequals(c_Event_Oused(X3),c_Message_Oparts(c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool))
| c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_OSays(X0,X1,X2),X3,tc_Event_Oevent)) = c_Message_Oparts(c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg))
| ~ class_Lattices_Oupper__semilattice(tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(paramodulation,[status(thm)],[f672,f861]) ).
fof(f5043,plain,
! [X0,X1,X2,X3] :
( c_Lattices_Oupper__semilattice__class_Osup(c_Event_Oused(X0),c_Message_Oparts(c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)) = c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_OSays(X2,X3,X1),X0,tc_Event_Oevent))
| ~ class_Lattices_Oupper__semilattice(tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(paramodulation,[status(thm)],[f672,f906]) ).
fof(f5047,plain,
! [X0,X1,X2,X3] :
( c_lessequals(c_Event_Oused(X0),c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_OSays(X1,X2,X3),X0,tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool))
| ~ class_Lattices_Oupper__semilattice(tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(paramodulation,[status(thm)],[f672,f711]) ).
fof(f5048,plain,
! [X0,X1,X2,X3] :
( c_lessequals(c_Message_Oparts(c_Set_Oinsert(X0,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_OSays(X1,X2,X0),X3,tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool))
| ~ class_Lattices_Oupper__semilattice(tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(paramodulation,[status(thm)],[f672,f709]) ).
fof(f5052,definition,
! [X0,X1,X2,X3] :
( sQ111_spl
<=> ( c_Event_Oused(X3) = c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool))
| c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_OSays(X0,X1,X2),X3,tc_Event_Oevent)) != c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)) ) ),
introduced(definition,[new_symbols(definition,[sQ111_spl])],[split_symbol_definition]) ).
fof(f5055,plain,
( sQ111_spl
| ~ sQ90_spl ),
inference(split_clause,[status(thm)],[f5036,f3810,f5052]) ).
fof(f5056,definition,
! [X0,X1,X2,X3] :
( sQ112_spl
<=> ( c_Message_Oparts(c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)) = c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool))
| c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_OSays(X0,X1,X2),X3,tc_Event_Oevent)) != c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)) ) ),
introduced(definition,[new_symbols(definition,[sQ112_spl])],[split_symbol_definition]) ).
fof(f5059,plain,
( sQ112_spl
| ~ sQ90_spl ),
inference(split_clause,[status(thm)],[f5037,f3810,f5056]) ).
fof(f5060,definition,
! [X0,X1,X2,X3] :
( sQ113_spl
<=> ( ~ c_lessequals(c_Message_Oparts(c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),c_Event_Oused(X3),tc_fun(tc_Message_Omsg,tc_bool))
| c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_OSays(X0,X1,X2),X3,tc_Event_Oevent)) = c_Event_Oused(X3) ) ),
introduced(definition,[new_symbols(definition,[sQ113_spl])],[split_symbol_definition]) ).
fof(f5063,plain,
( sQ113_spl
| ~ sQ24_spl ),
inference(split_clause,[status(thm)],[f5038,f2057,f5060]) ).
fof(f5064,definition,
! [X0,X1,X2,X3] :
( sQ114_spl
<=> ( c_lessequals(c_Message_Oparts(c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),c_Event_Oused(X3),tc_fun(tc_Message_Omsg,tc_bool))
| c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_OSays(X0,X1,X2),X3,tc_Event_Oevent)) != c_Event_Oused(X3) ) ),
introduced(definition,[new_symbols(definition,[sQ114_spl])],[split_symbol_definition]) ).
fof(f5067,plain,
( sQ114_spl
| ~ sQ24_spl ),
inference(split_clause,[status(thm)],[f5039,f2057,f5064]) ).
fof(f5068,definition,
! [X0,X1,X2,X3] :
( sQ115_spl
<=> ( ~ c_lessequals(c_Event_Oused(X3),c_Message_Oparts(c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool))
| c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_OSays(X0,X1,X2),X3,tc_Event_Oevent)) = c_Message_Oparts(c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)) ) ),
introduced(definition,[new_symbols(definition,[sQ115_spl])],[split_symbol_definition]) ).
fof(f5071,plain,
( sQ115_spl
| ~ sQ24_spl ),
inference(split_clause,[status(thm)],[f5040,f2057,f5068]) ).
fof(f5072,definition,
! [X0,X1,X2,X3] :
( sQ116_spl
<=> c_Lattices_Oupper__semilattice__class_Osup(c_Event_Oused(X0),c_Message_Oparts(c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)) = c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_OSays(X2,X3,X1),X0,tc_Event_Oevent)) ),
introduced(definition,[new_symbols(definition,[sQ116_spl])],[split_symbol_definition]) ).
fof(f5077,plain,
( sQ116_spl
| ~ sQ24_spl ),
inference(split_clause,[status(thm)],[f5043,f2057,f5072]) ).
fof(f5079,definition,
! [X0,X1,X2,X3] :
( sQ117_spl
<=> c_lessequals(c_Message_Oparts(c_Set_Oinsert(X0,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_OSays(X1,X2,X0),X3,tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)) ),
introduced(definition,[new_symbols(definition,[sQ117_spl])],[split_symbol_definition]) ).
fof(f5083,definition,
! [X0,X1,X2,X3] :
( sQ118_spl
<=> c_lessequals(c_Event_Oused(X0),c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_OSays(X1,X2,X3),X0,tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)) ),
introduced(definition,[new_symbols(definition,[sQ118_spl])],[split_symbol_definition]) ).
fof(f5087,plain,
( sQ118_spl
| ~ sQ24_spl ),
inference(split_clause,[status(thm)],[f5047,f2057,f5083]) ).
fof(f5088,plain,
( sQ117_spl
| ~ sQ24_spl ),
inference(split_clause,[status(thm)],[f5048,f2057,f5079]) ).
fof(f5098,plain,
! [X0,X1,X2] :
( c_Message_Oparts(X2) = c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool))
| c_Message_Oparts(c_Set_Oinsert(X0,c_Set_Oinsert(X1,X2,tc_Message_Omsg),tc_Message_Omsg)) != c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool))
| ~ class_Lattices_Obounded__lattice(tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(paramodulation,[status(thm)],[f674,f895]) ).
fof(f5099,plain,
! [X0,X1,X2] :
( c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Set_Oinsert(X0,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),c_Message_Oparts(c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool))
| c_Message_Oparts(c_Set_Oinsert(X0,c_Set_Oinsert(X1,X2,tc_Message_Omsg),tc_Message_Omsg)) != c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool))
| ~ class_Lattices_Obounded__lattice(tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(paramodulation,[status(thm)],[f674,f893]) ).
fof(f5100,plain,
! [X0,X1,X2] :
( ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Set_Oinsert(X0,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),c_Message_Oparts(c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),c_Message_Oparts(X2),tc_fun(tc_Message_Omsg,tc_bool))
| c_Message_Oparts(c_Set_Oinsert(X0,c_Set_Oinsert(X1,X2,tc_Message_Omsg),tc_Message_Omsg)) = c_Message_Oparts(X2)
| ~ class_Lattices_Oupper__semilattice(tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(paramodulation,[status(thm)],[f674,f863]) ).
fof(f5101,plain,
! [X0,X1,X2] :
( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Set_Oinsert(X0,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),c_Message_Oparts(c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),c_Message_Oparts(X2),tc_fun(tc_Message_Omsg,tc_bool))
| c_Message_Oparts(c_Set_Oinsert(X0,c_Set_Oinsert(X1,X2,tc_Message_Omsg),tc_Message_Omsg)) != c_Message_Oparts(X2)
| ~ class_Lattices_Oupper__semilattice(tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(paramodulation,[status(thm)],[f674,f862]) ).
fof(f5102,plain,
! [X0,X1,X2] :
( ~ c_lessequals(c_Message_Oparts(X2),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Set_Oinsert(X0,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),c_Message_Oparts(c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool))
| c_Message_Oparts(c_Set_Oinsert(X0,c_Set_Oinsert(X1,X2,tc_Message_Omsg),tc_Message_Omsg)) = c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Set_Oinsert(X0,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),c_Message_Oparts(c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool))
| ~ class_Lattices_Oupper__semilattice(tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(paramodulation,[status(thm)],[f674,f861]) ).
fof(f5105,plain,
! [X0,X1,X2] :
( c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(X0),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),c_Message_Oparts(c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool)) = c_Message_Oparts(c_Set_Oinsert(X1,c_Set_Oinsert(X2,X0,tc_Message_Omsg),tc_Message_Omsg))
| ~ class_Lattices_Oupper__semilattice(tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(paramodulation,[status(thm)],[f674,f906]) ).
fof(f5109,plain,
! [X0,X1,X2] :
( c_lessequals(c_Message_Oparts(X0),c_Message_Oparts(c_Set_Oinsert(X1,c_Set_Oinsert(X2,X0,tc_Message_Omsg),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool))
| ~ class_Lattices_Oupper__semilattice(tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(paramodulation,[status(thm)],[f674,f711]) ).
fof(f5110,plain,
! [X0,X1,X2] :
( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Set_Oinsert(X0,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),c_Message_Oparts(c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),c_Message_Oparts(c_Set_Oinsert(X0,c_Set_Oinsert(X1,X2,tc_Message_Omsg),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool))
| ~ class_Lattices_Oupper__semilattice(tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(paramodulation,[status(thm)],[f674,f709]) ).
fof(f5124,definition,
! [X0,X1,X2] :
( sQ119_spl
<=> ( c_Message_Oparts(X2) = c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool))
| c_Message_Oparts(c_Set_Oinsert(X0,c_Set_Oinsert(X1,X2,tc_Message_Omsg),tc_Message_Omsg)) != c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)) ) ),
introduced(definition,[new_symbols(definition,[sQ119_spl])],[split_symbol_definition]) ).
fof(f5127,plain,
( sQ119_spl
| ~ sQ90_spl ),
inference(split_clause,[status(thm)],[f5098,f3810,f5124]) ).
fof(f5128,definition,
! [X0,X1,X2] :
( sQ120_spl
<=> ( c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Set_Oinsert(X0,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),c_Message_Oparts(c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool))
| c_Message_Oparts(c_Set_Oinsert(X0,c_Set_Oinsert(X1,X2,tc_Message_Omsg),tc_Message_Omsg)) != c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)) ) ),
introduced(definition,[new_symbols(definition,[sQ120_spl])],[split_symbol_definition]) ).
fof(f5131,plain,
( sQ120_spl
| ~ sQ90_spl ),
inference(split_clause,[status(thm)],[f5099,f3810,f5128]) ).
fof(f5132,definition,
! [X0,X1,X2] :
( sQ121_spl
<=> ( ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Set_Oinsert(X0,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),c_Message_Oparts(c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),c_Message_Oparts(X2),tc_fun(tc_Message_Omsg,tc_bool))
| c_Message_Oparts(c_Set_Oinsert(X0,c_Set_Oinsert(X1,X2,tc_Message_Omsg),tc_Message_Omsg)) = c_Message_Oparts(X2) ) ),
introduced(definition,[new_symbols(definition,[sQ121_spl])],[split_symbol_definition]) ).
fof(f5135,plain,
( sQ121_spl
| ~ sQ24_spl ),
inference(split_clause,[status(thm)],[f5100,f2057,f5132]) ).
fof(f5136,definition,
! [X0,X1,X2] :
( sQ122_spl
<=> ( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Set_Oinsert(X0,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),c_Message_Oparts(c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),c_Message_Oparts(X2),tc_fun(tc_Message_Omsg,tc_bool))
| c_Message_Oparts(c_Set_Oinsert(X0,c_Set_Oinsert(X1,X2,tc_Message_Omsg),tc_Message_Omsg)) != c_Message_Oparts(X2) ) ),
introduced(definition,[new_symbols(definition,[sQ122_spl])],[split_symbol_definition]) ).
fof(f5139,plain,
( sQ122_spl
| ~ sQ24_spl ),
inference(split_clause,[status(thm)],[f5101,f2057,f5136]) ).
fof(f5140,definition,
! [X0,X1,X2] :
( sQ123_spl
<=> ( ~ c_lessequals(c_Message_Oparts(X2),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Set_Oinsert(X0,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),c_Message_Oparts(c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool))
| c_Message_Oparts(c_Set_Oinsert(X0,c_Set_Oinsert(X1,X2,tc_Message_Omsg),tc_Message_Omsg)) = c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Set_Oinsert(X0,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),c_Message_Oparts(c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)) ) ),
introduced(definition,[new_symbols(definition,[sQ123_spl])],[split_symbol_definition]) ).
fof(f5143,plain,
( sQ123_spl
| ~ sQ24_spl ),
inference(split_clause,[status(thm)],[f5102,f2057,f5140]) ).
fof(f5144,definition,
! [X0,X1,X2] :
( sQ124_spl
<=> c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(X0),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),c_Message_Oparts(c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool)) = c_Message_Oparts(c_Set_Oinsert(X1,c_Set_Oinsert(X2,X0,tc_Message_Omsg),tc_Message_Omsg)) ),
introduced(definition,[new_symbols(definition,[sQ124_spl])],[split_symbol_definition]) ).
fof(f5149,plain,
( sQ124_spl
| ~ sQ24_spl ),
inference(split_clause,[status(thm)],[f5105,f2057,f5144]) ).
fof(f5151,definition,
! [X0,X1,X2] :
( sQ125_spl
<=> c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Set_Oinsert(X0,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),c_Message_Oparts(c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),c_Message_Oparts(c_Set_Oinsert(X0,c_Set_Oinsert(X1,X2,tc_Message_Omsg),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)) ),
introduced(definition,[new_symbols(definition,[sQ125_spl])],[split_symbol_definition]) ).
fof(f5155,definition,
! [X0,X1,X2] :
( sQ126_spl
<=> c_lessequals(c_Message_Oparts(X0),c_Message_Oparts(c_Set_Oinsert(X1,c_Set_Oinsert(X2,X0,tc_Message_Omsg),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)) ),
introduced(definition,[new_symbols(definition,[sQ126_spl])],[split_symbol_definition]) ).
fof(f5159,plain,
( sQ126_spl
| ~ sQ24_spl ),
inference(split_clause,[status(thm)],[f5109,f2057,f5155]) ).
fof(f5160,plain,
( sQ125_spl
| ~ sQ24_spl ),
inference(split_clause,[status(thm)],[f5110,f2057,f5151]) ).
fof(f5209,plain,
( sQ53_spl
| ~ sQ1_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2595,f1357]) ).
fof(f5210,plain,
( sQ53_spl
| ~ sQ1_spl ),
inference(contradiction_clause,[status(thm)],[f5209]) ).
fof(f5211,plain,
( ~ sQ40_spl
| c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)) = c_Message_Oanalz(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,v_A)),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs),tc_Message_Omsg)) ),
inference(forward_demodulation,[status(thm)],[f1291,f2520]) ).
fof(f5212,plain,
( sQ27_spl
| ~ class_Lattices_Olattice(tc_bool) ),
inference(resolution,[status(thm)],[f2154,f1314]) ).
fof(f5213,plain,
( sQ27_spl
| ~ sQ58_spl ),
inference(split_clause,[status(thm)],[f5212,f2846,f2152]) ).
fof(f5249,plain,
! [X0,X1] :
( ~ sQ42_spl
| hBOOL(c_in(hAPP(c_Public_OshrK,v_A),c_Message_OkeysFor(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs))),tc_nat))
| ~ hBOOL(c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),X0),c_Message_Oanalz(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,v_A)),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs),tc_Message_Omsg)),tc_Message_Omsg))
| ~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X1)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg))
| hBOOL(c_in(X0,c_Message_Oanalz(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,v_A)),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs),tc_Message_Omsg)),tc_Message_Omsg)) ),
inference(paramodulation,[status(thm)],[f2614,f1756]) ).
fof(f5257,definition,
! [X0,X1] :
( sQ132_spl
<=> ( ~ hBOOL(c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),X0),c_Message_Oanalz(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,v_A)),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs),tc_Message_Omsg)),tc_Message_Omsg))
| ~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X1)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg))
| hBOOL(c_in(X0,c_Message_Oanalz(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,v_A)),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs),tc_Message_Omsg)),tc_Message_Omsg)) ) ),
introduced(definition,[new_symbols(definition,[sQ132_spl])],[split_symbol_definition]) ).
fof(f5260,plain,
( ~ sQ42_spl
| sQ38_spl
| sQ132_spl ),
inference(split_clause,[status(thm)],[f5249,f5257,f2511,f2529]) ).
fof(f5293,plain,
! [X0] :
( ~ c_lessequals(c_Event_Oused(X0),c_Event_Oused(c_List_Olist_ONil(tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool))
| c_Event_Oused(X0) = c_Event_Oused(c_List_Olist_ONil(tc_Event_Oevent))
| ~ class_Orderings_Oorder(tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(resolution,[status(thm)],[f762,f854]) ).
fof(f5296,definition,
! [X0] :
( sQ133_spl
<=> ( ~ c_lessequals(c_Event_Oused(X0),c_Event_Oused(c_List_Olist_ONil(tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool))
| c_Event_Oused(X0) = c_Event_Oused(c_List_Olist_ONil(tc_Event_Oevent)) ) ),
introduced(definition,[new_symbols(definition,[sQ133_spl])],[split_symbol_definition]) ).
fof(f5299,plain,
( sQ133_spl
| ~ sQ78_spl ),
inference(split_clause,[status(thm)],[f5293,f3751,f5296]) ).
fof(f5303,plain,
! [X0,X1,X2] :
( c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Set_Oinsert(X0,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),c_Message_Oparts(c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),c_Message_Oparts(c_Set_Oinsert(X0,c_Set_Oinsert(X1,X2,tc_Message_Omsg),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Set_Oinsert(X0,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),c_Message_Oparts(c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),c_Message_Oparts(X2),tc_fun(tc_Message_Omsg,tc_bool))
| ~ class_Lattices_Oupper__semilattice(tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(paramodulation,[status(thm)],[f674,f914]) ).
fof(f5306,plain,
! [X0,X1,X2,X3] :
( c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Set_Oinsert(X0,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_OSays(X1,X2,X0),X3,tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Set_Oinsert(X0,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),c_Event_Oused(X3),tc_fun(tc_Message_Omsg,tc_bool))
| ~ class_Lattices_Oupper__semilattice(tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(paramodulation,[status(thm)],[f672,f914]) ).
fof(f5307,plain,
! [X0,X1,X2] :
( c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Set_Oinsert(X0,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),c_Message_Oparts(c_Set_Oinsert(X0,c_Event_Oknows(X1,X2),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Set_Oinsert(X0,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),c_Message_Oparts(c_Event_Oknows(X1,X2)),tc_fun(tc_Message_Omsg,tc_bool))
| ~ class_Lattices_Oupper__semilattice(tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(paramodulation,[status(thm)],[f845,f914]) ).
fof(f5308,plain,
! [X0] :
( c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(X0),c_Message_Oparts(c_Message_Osynth(X0)),tc_fun(tc_Message_Omsg,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(X0),c_Message_Osynth(X0),tc_fun(tc_Message_Omsg,tc_bool))
| ~ class_Lattices_Oupper__semilattice(tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(paramodulation,[status(thm)],[f653,f914]) ).
fof(f5313,definition,
! [X0,X1,X2] :
( sQ134_spl
<=> c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Set_Oinsert(X0,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),c_Message_Oparts(c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),c_Message_Oparts(c_Set_Oinsert(X0,c_Set_Oinsert(X1,X2,tc_Message_Omsg),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Set_Oinsert(X0,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),c_Message_Oparts(c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),c_Message_Oparts(X2),tc_fun(tc_Message_Omsg,tc_bool)) ),
introduced(definition,[new_symbols(definition,[sQ134_spl])],[split_symbol_definition]) ).
fof(f5316,plain,
( sQ134_spl
| ~ sQ24_spl ),
inference(split_clause,[status(thm)],[f5303,f2057,f5313]) ).
fof(f5317,definition,
! [X0,X1,X2,X3] :
( sQ135_spl
<=> c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Set_Oinsert(X0,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_OSays(X1,X2,X0),X3,tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Set_Oinsert(X0,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),c_Event_Oused(X3),tc_fun(tc_Message_Omsg,tc_bool)) ),
introduced(definition,[new_symbols(definition,[sQ135_spl])],[split_symbol_definition]) ).
fof(f5320,plain,
( sQ135_spl
| ~ sQ24_spl ),
inference(split_clause,[status(thm)],[f5306,f2057,f5317]) ).
fof(f5321,definition,
! [X0,X1,X2] :
( sQ136_spl
<=> c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Set_Oinsert(X0,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),c_Message_Oparts(c_Set_Oinsert(X0,c_Event_Oknows(X1,X2),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Set_Oinsert(X0,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),c_Message_Oparts(c_Event_Oknows(X1,X2)),tc_fun(tc_Message_Omsg,tc_bool)) ),
introduced(definition,[new_symbols(definition,[sQ136_spl])],[split_symbol_definition]) ).
fof(f5324,plain,
( sQ136_spl
| ~ sQ24_spl ),
inference(split_clause,[status(thm)],[f5307,f2057,f5321]) ).
fof(f5325,definition,
! [X0] :
( sQ137_spl
<=> c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(X0),c_Message_Oparts(c_Message_Osynth(X0)),tc_fun(tc_Message_Omsg,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(X0),c_Message_Osynth(X0),tc_fun(tc_Message_Omsg,tc_bool)) ),
introduced(definition,[new_symbols(definition,[sQ137_spl])],[split_symbol_definition]) ).
fof(f5328,plain,
( sQ137_spl
| ~ sQ24_spl ),
inference(split_clause,[status(thm)],[f5308,f2057,f5325]) ).
fof(f5353,plain,
! [X0,X1] :
( c_lessequals(c_Message_Oparts(X0),c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(X1,X0,tc_fun(tc_Message_Omsg,tc_bool))),tc_fun(tc_Message_Omsg,tc_bool))
| ~ class_Lattices_Oupper__semilattice(tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(resolution,[status(thm)],[f1076,f664]) ).
fof(f5354,plain,
! [X0,X1] :
( c_lessequals(c_Message_Oanalz(X0),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X1,X0,tc_fun(tc_Message_Omsg,tc_bool))),tc_fun(tc_Message_Omsg,tc_bool))
| ~ class_Lattices_Oupper__semilattice(tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(resolution,[status(thm)],[f1076,f648]) ).
fof(f5355,plain,
! [X0,X1] :
( c_lessequals(X0,c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X1,X0,tc_fun(tc_Message_Omsg,tc_bool))),tc_fun(tc_Message_Omsg,tc_bool))
| ~ class_Lattices_Oupper__semilattice(tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(resolution,[status(thm)],[f1076,f1199]) ).
fof(f5356,plain,
! [X0,X1] :
( c_lessequals(X0,c_Message_Osynth(c_Lattices_Oupper__semilattice__class_Osup(X1,X0,tc_fun(tc_Message_Omsg,tc_bool))),tc_fun(tc_Message_Omsg,tc_bool))
| ~ class_Lattices_Oupper__semilattice(tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(resolution,[status(thm)],[f1076,f1070]) ).
fof(f5357,plain,
! [X0,X1] :
( c_lessequals(X0,c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(X1,X0,tc_fun(tc_Message_Omsg,tc_bool))),tc_fun(tc_Message_Omsg,tc_bool))
| ~ class_Lattices_Oupper__semilattice(tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(resolution,[status(thm)],[f1076,f830]) ).
fof(f5362,plain,
! [X0,X1,X2,X3] :
( ~ class_Lattices_Oupper__semilattice(X0)
| c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,c_Lattices_Oupper__semilattice__class_Osup(X3,X1,X0),X0),X0)
| ~ class_Lattices_Oupper__semilattice(X0) ),
inference(resolution,[status(thm)],[f1076,f711]) ).
fof(f5363,plain,
! [X0,X1,X2,X3] :
( ~ class_Lattices_Oupper__semilattice(X0)
| c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(X2,X1,X0),X3,X0),X0)
| ~ class_Lattices_Oupper__semilattice(X0) ),
inference(resolution,[status(thm)],[f1076,f709]) ).
fof(f5371,plain,
! [X0,X1,X2,X3] :
( ~ c_lessequals(c_Message_Oparts(c_Set_Oinsert(X2,c_Set_Oinsert(X3,X0,tc_Message_Omsg),tc_Message_Omsg)),X1,tc_fun(tc_Message_Omsg,tc_bool))
| c_lessequals(c_Message_Oparts(X0),X1,tc_fun(tc_Message_Omsg,tc_bool))
| ~ class_Lattices_Oupper__semilattice(tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(paramodulation,[status(thm)],[f674,f1076]) ).
fof(f5374,plain,
! [X0,X1,X2,X3,X4] :
( ~ c_lessequals(c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_OSays(X2,X3,X4),X0,tc_Event_Oevent)),X1,tc_fun(tc_Message_Omsg,tc_bool))
| c_lessequals(c_Event_Oused(X0),X1,tc_fun(tc_Message_Omsg,tc_bool))
| ~ class_Lattices_Oupper__semilattice(tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(paramodulation,[status(thm)],[f672,f1076]) ).
fof(f5375,plain,
! [X0,X1,X2,X3] :
( ~ c_lessequals(c_Message_Oparts(c_Set_Oinsert(X3,c_Event_Oknows(X0,X1),tc_Message_Omsg)),X2,tc_fun(tc_Message_Omsg,tc_bool))
| c_lessequals(c_Message_Oparts(c_Event_Oknows(X0,X1)),X2,tc_fun(tc_Message_Omsg,tc_bool))
| ~ class_Lattices_Oupper__semilattice(tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(paramodulation,[status(thm)],[f845,f1076]) ).
fof(f5376,plain,
! [X0,X1] :
( ~ c_lessequals(c_Message_Oparts(c_Message_Osynth(X0)),X1,tc_fun(tc_Message_Omsg,tc_bool))
| c_lessequals(c_Message_Osynth(X0),X1,tc_fun(tc_Message_Omsg,tc_bool))
| ~ class_Lattices_Oupper__semilattice(tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(paramodulation,[status(thm)],[f653,f1076]) ).
fof(f5380,definition,
! [X0,X1] :
( sQ138_spl
<=> c_lessequals(c_Message_Oparts(X0),c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(X1,X0,tc_fun(tc_Message_Omsg,tc_bool))),tc_fun(tc_Message_Omsg,tc_bool)) ),
introduced(definition,[new_symbols(definition,[sQ138_spl])],[split_symbol_definition]) ).
fof(f5383,plain,
( sQ138_spl
| ~ sQ24_spl ),
inference(split_clause,[status(thm)],[f5353,f2057,f5380]) ).
fof(f5384,definition,
! [X0,X1] :
( sQ139_spl
<=> c_lessequals(c_Message_Oanalz(X0),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X1,X0,tc_fun(tc_Message_Omsg,tc_bool))),tc_fun(tc_Message_Omsg,tc_bool)) ),
introduced(definition,[new_symbols(definition,[sQ139_spl])],[split_symbol_definition]) ).
fof(f5387,plain,
( sQ139_spl
| ~ sQ24_spl ),
inference(split_clause,[status(thm)],[f5354,f2057,f5384]) ).
fof(f5388,definition,
! [X0,X1] :
( sQ140_spl
<=> c_lessequals(X0,c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X1,X0,tc_fun(tc_Message_Omsg,tc_bool))),tc_fun(tc_Message_Omsg,tc_bool)) ),
introduced(definition,[new_symbols(definition,[sQ140_spl])],[split_symbol_definition]) ).
fof(f5391,plain,
( sQ140_spl
| ~ sQ24_spl ),
inference(split_clause,[status(thm)],[f5355,f2057,f5388]) ).
fof(f5392,definition,
! [X0,X1] :
( sQ141_spl
<=> c_lessequals(X0,c_Message_Osynth(c_Lattices_Oupper__semilattice__class_Osup(X1,X0,tc_fun(tc_Message_Omsg,tc_bool))),tc_fun(tc_Message_Omsg,tc_bool)) ),
introduced(definition,[new_symbols(definition,[sQ141_spl])],[split_symbol_definition]) ).
fof(f5395,plain,
( sQ141_spl
| ~ sQ24_spl ),
inference(split_clause,[status(thm)],[f5356,f2057,f5392]) ).
fof(f5396,definition,
! [X0,X1] :
( sQ142_spl
<=> c_lessequals(X0,c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(X1,X0,tc_fun(tc_Message_Omsg,tc_bool))),tc_fun(tc_Message_Omsg,tc_bool)) ),
introduced(definition,[new_symbols(definition,[sQ142_spl])],[split_symbol_definition]) ).
fof(f5399,plain,
( sQ142_spl
| ~ sQ24_spl ),
inference(split_clause,[status(thm)],[f5357,f2057,f5396]) ).
fof(f5400,plain,
! [X0,X1,X2,X3] :
( c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,c_Lattices_Oupper__semilattice__class_Osup(X3,X1,X0),X0),X0)
| ~ class_Lattices_Oupper__semilattice(X0) ),
inference(duplicate_literals_removal,[status(thm)],[f5362]) ).
fof(f5401,plain,
! [X0,X1,X2,X3] :
( c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(X2,X1,X0),X3,X0),X0)
| ~ class_Lattices_Oupper__semilattice(X0) ),
inference(duplicate_literals_removal,[status(thm)],[f5363]) ).
fof(f5403,definition,
! [X0,X1,X2,X3] :
( sQ143_spl
<=> ( ~ c_lessequals(c_Message_Oparts(c_Set_Oinsert(X2,c_Set_Oinsert(X3,X0,tc_Message_Omsg),tc_Message_Omsg)),X1,tc_fun(tc_Message_Omsg,tc_bool))
| c_lessequals(c_Message_Oparts(X0),X1,tc_fun(tc_Message_Omsg,tc_bool)) ) ),
introduced(definition,[new_symbols(definition,[sQ143_spl])],[split_symbol_definition]) ).
fof(f5406,plain,
( sQ143_spl
| ~ sQ24_spl ),
inference(split_clause,[status(thm)],[f5371,f2057,f5403]) ).
fof(f5407,definition,
! [X0,X1,X2,X3,X4] :
( sQ144_spl
<=> ( ~ c_lessequals(c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_OSays(X2,X3,X4),X0,tc_Event_Oevent)),X1,tc_fun(tc_Message_Omsg,tc_bool))
| c_lessequals(c_Event_Oused(X0),X1,tc_fun(tc_Message_Omsg,tc_bool)) ) ),
introduced(definition,[new_symbols(definition,[sQ144_spl])],[split_symbol_definition]) ).
fof(f5410,plain,
( sQ144_spl
| ~ sQ24_spl ),
inference(split_clause,[status(thm)],[f5374,f2057,f5407]) ).
fof(f5411,definition,
! [X0,X1,X2,X3] :
( sQ145_spl
<=> ( ~ c_lessequals(c_Message_Oparts(c_Set_Oinsert(X3,c_Event_Oknows(X0,X1),tc_Message_Omsg)),X2,tc_fun(tc_Message_Omsg,tc_bool))
| c_lessequals(c_Message_Oparts(c_Event_Oknows(X0,X1)),X2,tc_fun(tc_Message_Omsg,tc_bool)) ) ),
introduced(definition,[new_symbols(definition,[sQ145_spl])],[split_symbol_definition]) ).
fof(f5414,plain,
( sQ145_spl
| ~ sQ24_spl ),
inference(split_clause,[status(thm)],[f5375,f2057,f5411]) ).
fof(f5415,definition,
! [X0,X1] :
( sQ146_spl
<=> ( ~ c_lessequals(c_Message_Oparts(c_Message_Osynth(X0)),X1,tc_fun(tc_Message_Omsg,tc_bool))
| c_lessequals(c_Message_Osynth(X0),X1,tc_fun(tc_Message_Omsg,tc_bool)) ) ),
introduced(definition,[new_symbols(definition,[sQ146_spl])],[split_symbol_definition]) ).
fof(f5418,plain,
( sQ146_spl
| ~ sQ24_spl ),
inference(split_clause,[status(thm)],[f5376,f2057,f5415]) ).
fof(f5426,plain,
! [X0,X1,X2,X3] :
( c_lessequals(c_Message_Oparts(X0),c_Lattices_Oupper__semilattice__class_Osup(X1,c_Message_Oparts(c_Set_Oinsert(X2,c_Set_Oinsert(X3,X0,tc_Message_Omsg),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool))
| ~ class_Lattices_Oupper__semilattice(tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(paramodulation,[status(thm)],[f674,f5400]) ).
fof(f5429,plain,
! [X0,X1,X2,X3,X4] :
( c_lessequals(c_Event_Oused(X0),c_Lattices_Oupper__semilattice__class_Osup(X1,c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_OSays(X2,X3,X4),X0,tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool))
| ~ class_Lattices_Oupper__semilattice(tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(paramodulation,[status(thm)],[f672,f5400]) ).
fof(f5430,plain,
! [X0,X1,X2,X3] :
( c_lessequals(c_Message_Oparts(c_Event_Oknows(X0,X1)),c_Lattices_Oupper__semilattice__class_Osup(X2,c_Message_Oparts(c_Set_Oinsert(X3,c_Event_Oknows(X0,X1),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool))
| ~ class_Lattices_Oupper__semilattice(tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(paramodulation,[status(thm)],[f845,f5400]) ).
fof(f5431,plain,
! [X0,X1] :
( c_lessequals(c_Message_Osynth(X0),c_Lattices_Oupper__semilattice__class_Osup(X1,c_Message_Oparts(c_Message_Osynth(X0)),tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool))
| ~ class_Lattices_Oupper__semilattice(tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(paramodulation,[status(thm)],[f653,f5400]) ).
fof(f5436,definition,
! [X0,X1,X2,X3] :
( sQ147_spl
<=> c_lessequals(c_Message_Oparts(X0),c_Lattices_Oupper__semilattice__class_Osup(X1,c_Message_Oparts(c_Set_Oinsert(X2,c_Set_Oinsert(X3,X0,tc_Message_Omsg),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool)) ),
introduced(definition,[new_symbols(definition,[sQ147_spl])],[split_symbol_definition]) ).
fof(f5439,plain,
( sQ147_spl
| ~ sQ24_spl ),
inference(split_clause,[status(thm)],[f5426,f2057,f5436]) ).
fof(f5440,definition,
! [X0,X1,X2,X3,X4] :
( sQ148_spl
<=> c_lessequals(c_Event_Oused(X0),c_Lattices_Oupper__semilattice__class_Osup(X1,c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_OSays(X2,X3,X4),X0,tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool)) ),
introduced(definition,[new_symbols(definition,[sQ148_spl])],[split_symbol_definition]) ).
fof(f5443,plain,
( sQ148_spl
| ~ sQ24_spl ),
inference(split_clause,[status(thm)],[f5429,f2057,f5440]) ).
fof(f5444,definition,
! [X0,X1,X2,X3] :
( sQ149_spl
<=> c_lessequals(c_Message_Oparts(c_Event_Oknows(X0,X1)),c_Lattices_Oupper__semilattice__class_Osup(X2,c_Message_Oparts(c_Set_Oinsert(X3,c_Event_Oknows(X0,X1),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool)) ),
introduced(definition,[new_symbols(definition,[sQ149_spl])],[split_symbol_definition]) ).
fof(f5447,plain,
( sQ149_spl
| ~ sQ24_spl ),
inference(split_clause,[status(thm)],[f5430,f2057,f5444]) ).
fof(f5448,definition,
! [X0,X1] :
( sQ150_spl
<=> c_lessequals(c_Message_Osynth(X0),c_Lattices_Oupper__semilattice__class_Osup(X1,c_Message_Oparts(c_Message_Osynth(X0)),tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool)) ),
introduced(definition,[new_symbols(definition,[sQ150_spl])],[split_symbol_definition]) ).
fof(f5451,plain,
( sQ150_spl
| ~ sQ24_spl ),
inference(split_clause,[status(thm)],[f5431,f2057,f5448]) ).
fof(f5456,plain,
! [X0,X1,X2] :
( c_lessequals(c_Message_Oparts(c_Set_Oinsert(X0,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),c_Message_Oparts(c_Set_Oinsert(X1,c_Set_Oinsert(X0,X2,tc_Message_Omsg),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool))
| ~ class_Lattices_Oupper__semilattice(tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(paramodulation,[status(thm)],[f674,f5401]) ).
fof(f5460,plain,
! [X0,X1,X2,X3] :
( c_lessequals(c_Message_Oparts(X0),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Set_Oinsert(X1,c_Set_Oinsert(X2,X0,tc_Message_Omsg),tc_Message_Omsg)),X3,tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool))
| ~ class_Lattices_Oupper__semilattice(tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(paramodulation,[status(thm)],[f674,f5401]) ).
fof(f5463,plain,
! [X0,X1,X2,X3,X4] :
( c_lessequals(c_Event_Oused(X0),c_Lattices_Oupper__semilattice__class_Osup(c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_OSays(X1,X2,X3),X0,tc_Event_Oevent)),X4,tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool))
| ~ class_Lattices_Oupper__semilattice(tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(paramodulation,[status(thm)],[f672,f5401]) ).
fof(f5464,plain,
! [X0,X1,X2,X3] :
( c_lessequals(c_Message_Oparts(c_Event_Oknows(X0,X1)),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Set_Oinsert(X2,c_Event_Oknows(X0,X1),tc_Message_Omsg)),X3,tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool))
| ~ class_Lattices_Oupper__semilattice(tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(paramodulation,[status(thm)],[f845,f5401]) ).
fof(f5465,plain,
! [X0,X1] :
( c_lessequals(c_Message_Osynth(X0),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Message_Osynth(X0)),X1,tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool))
| ~ class_Lattices_Oupper__semilattice(tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(paramodulation,[status(thm)],[f653,f5401]) ).
fof(f5470,definition,
! [X0,X1,X2] :
( sQ151_spl
<=> c_lessequals(c_Message_Oparts(c_Set_Oinsert(X0,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),c_Message_Oparts(c_Set_Oinsert(X1,c_Set_Oinsert(X0,X2,tc_Message_Omsg),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)) ),
introduced(definition,[new_symbols(definition,[sQ151_spl])],[split_symbol_definition]) ).
fof(f5473,plain,
( sQ151_spl
| ~ sQ24_spl ),
inference(split_clause,[status(thm)],[f5456,f2057,f5470]) ).
fof(f5474,definition,
! [X0,X1,X2,X3] :
( sQ152_spl
<=> c_lessequals(c_Message_Oparts(X0),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Set_Oinsert(X1,c_Set_Oinsert(X2,X0,tc_Message_Omsg),tc_Message_Omsg)),X3,tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool)) ),
introduced(definition,[new_symbols(definition,[sQ152_spl])],[split_symbol_definition]) ).
fof(f5477,plain,
( sQ152_spl
| ~ sQ24_spl ),
inference(split_clause,[status(thm)],[f5460,f2057,f5474]) ).
fof(f5478,definition,
! [X0,X1,X2,X3,X4] :
( sQ153_spl
<=> c_lessequals(c_Event_Oused(X0),c_Lattices_Oupper__semilattice__class_Osup(c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_OSays(X1,X2,X3),X0,tc_Event_Oevent)),X4,tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool)) ),
introduced(definition,[new_symbols(definition,[sQ153_spl])],[split_symbol_definition]) ).
fof(f5481,plain,
( sQ153_spl
| ~ sQ24_spl ),
inference(split_clause,[status(thm)],[f5463,f2057,f5478]) ).
fof(f5482,definition,
! [X0,X1,X2,X3] :
( sQ154_spl
<=> c_lessequals(c_Message_Oparts(c_Event_Oknows(X0,X1)),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Set_Oinsert(X2,c_Event_Oknows(X0,X1),tc_Message_Omsg)),X3,tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool)) ),
introduced(definition,[new_symbols(definition,[sQ154_spl])],[split_symbol_definition]) ).
fof(f5485,plain,
( sQ154_spl
| ~ sQ24_spl ),
inference(split_clause,[status(thm)],[f5464,f2057,f5482]) ).
fof(f5486,definition,
! [X0,X1] :
( sQ155_spl
<=> c_lessequals(c_Message_Osynth(X0),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Message_Osynth(X0)),X1,tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool)) ),
introduced(definition,[new_symbols(definition,[sQ155_spl])],[split_symbol_definition]) ).
fof(f5489,plain,
( sQ155_spl
| ~ sQ24_spl ),
inference(split_clause,[status(thm)],[f5465,f2057,f5486]) ).
fof(f5490,plain,
! [X0,X1] :
( c_lessequals(c_Message_Oparts(X0),c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(X0,X1,tc_fun(tc_Message_Omsg,tc_bool))),tc_fun(tc_Message_Omsg,tc_bool))
| ~ class_Lattices_Oupper__semilattice(tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(resolution,[status(thm)],[f1078,f664]) ).
fof(f5491,plain,
! [X0,X1] :
( c_lessequals(c_Message_Oanalz(X0),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X0,X1,tc_fun(tc_Message_Omsg,tc_bool))),tc_fun(tc_Message_Omsg,tc_bool))
| ~ class_Lattices_Oupper__semilattice(tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(resolution,[status(thm)],[f1078,f648]) ).
fof(f5492,plain,
! [X0,X1] :
( c_lessequals(X0,c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X0,X1,tc_fun(tc_Message_Omsg,tc_bool))),tc_fun(tc_Message_Omsg,tc_bool))
| ~ class_Lattices_Oupper__semilattice(tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(resolution,[status(thm)],[f1078,f1199]) ).
fof(f5493,plain,
! [X0,X1] :
( c_lessequals(X0,c_Message_Osynth(c_Lattices_Oupper__semilattice__class_Osup(X0,X1,tc_fun(tc_Message_Omsg,tc_bool))),tc_fun(tc_Message_Omsg,tc_bool))
| ~ class_Lattices_Oupper__semilattice(tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(resolution,[status(thm)],[f1078,f1070]) ).
fof(f5494,plain,
! [X0,X1] :
( c_lessequals(X0,c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(X0,X1,tc_fun(tc_Message_Omsg,tc_bool))),tc_fun(tc_Message_Omsg,tc_bool))
| ~ class_Lattices_Oupper__semilattice(tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(resolution,[status(thm)],[f1078,f830]) ).
fof(f5501,plain,
! [X0,X1,X2,X3] :
( ~ class_Lattices_Oupper__semilattice(X0)
| c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,c_Lattices_Oupper__semilattice__class_Osup(X1,X3,X0),X0),X0)
| ~ class_Lattices_Oupper__semilattice(X0) ),
inference(resolution,[status(thm)],[f1078,f711]) ).
fof(f5502,plain,
! [X0,X1,X2,X3] :
( ~ class_Lattices_Oupper__semilattice(X0)
| c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X0),X3,X0),X0)
| ~ class_Lattices_Oupper__semilattice(X0) ),
inference(resolution,[status(thm)],[f1078,f709]) ).
fof(f5510,plain,
! [X0,X1,X2,X3] :
( ~ c_lessequals(c_Message_Oparts(c_Set_Oinsert(X0,c_Set_Oinsert(X1,X3,tc_Message_Omsg),tc_Message_Omsg)),X2,tc_fun(tc_Message_Omsg,tc_bool))
| c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Set_Oinsert(X0,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),c_Message_Oparts(c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),X2,tc_fun(tc_Message_Omsg,tc_bool))
| ~ class_Lattices_Oupper__semilattice(tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(paramodulation,[status(thm)],[f674,f1078]) ).
fof(f5513,plain,
! [X0,X1,X2,X3,X4] :
( ~ c_lessequals(c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_OSays(X2,X3,X0),X4,tc_Event_Oevent)),X1,tc_fun(tc_Message_Omsg,tc_bool))
| c_lessequals(c_Message_Oparts(c_Set_Oinsert(X0,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),X1,tc_fun(tc_Message_Omsg,tc_bool))
| ~ class_Lattices_Oupper__semilattice(tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(paramodulation,[status(thm)],[f672,f1078]) ).
fof(f5514,plain,
! [X0,X1,X2,X3] :
( ~ c_lessequals(c_Message_Oparts(c_Set_Oinsert(X0,c_Event_Oknows(X2,X3),tc_Message_Omsg)),X1,tc_fun(tc_Message_Omsg,tc_bool))
| c_lessequals(c_Message_Oparts(c_Set_Oinsert(X0,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),X1,tc_fun(tc_Message_Omsg,tc_bool))
| ~ class_Lattices_Oupper__semilattice(tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(paramodulation,[status(thm)],[f845,f1078]) ).
fof(f5515,plain,
! [X0,X1] :
( ~ c_lessequals(c_Message_Oparts(c_Message_Osynth(X0)),X1,tc_fun(tc_Message_Omsg,tc_bool))
| c_lessequals(c_Message_Oparts(X0),X1,tc_fun(tc_Message_Omsg,tc_bool))
| ~ class_Lattices_Oupper__semilattice(tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(paramodulation,[status(thm)],[f653,f1078]) ).
fof(f5519,definition,
! [X0,X1] :
( sQ156_spl
<=> c_lessequals(c_Message_Oparts(X0),c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(X0,X1,tc_fun(tc_Message_Omsg,tc_bool))),tc_fun(tc_Message_Omsg,tc_bool)) ),
introduced(definition,[new_symbols(definition,[sQ156_spl])],[split_symbol_definition]) ).
fof(f5522,plain,
( sQ156_spl
| ~ sQ24_spl ),
inference(split_clause,[status(thm)],[f5490,f2057,f5519]) ).
fof(f5523,definition,
! [X0,X1] :
( sQ157_spl
<=> c_lessequals(c_Message_Oanalz(X0),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X0,X1,tc_fun(tc_Message_Omsg,tc_bool))),tc_fun(tc_Message_Omsg,tc_bool)) ),
introduced(definition,[new_symbols(definition,[sQ157_spl])],[split_symbol_definition]) ).
fof(f5526,plain,
( sQ157_spl
| ~ sQ24_spl ),
inference(split_clause,[status(thm)],[f5491,f2057,f5523]) ).
fof(f5527,definition,
! [X0,X1] :
( sQ158_spl
<=> c_lessequals(X0,c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X0,X1,tc_fun(tc_Message_Omsg,tc_bool))),tc_fun(tc_Message_Omsg,tc_bool)) ),
introduced(definition,[new_symbols(definition,[sQ158_spl])],[split_symbol_definition]) ).
fof(f5530,plain,
( sQ158_spl
| ~ sQ24_spl ),
inference(split_clause,[status(thm)],[f5492,f2057,f5527]) ).
fof(f5531,definition,
! [X0,X1] :
( sQ159_spl
<=> c_lessequals(X0,c_Message_Osynth(c_Lattices_Oupper__semilattice__class_Osup(X0,X1,tc_fun(tc_Message_Omsg,tc_bool))),tc_fun(tc_Message_Omsg,tc_bool)) ),
introduced(definition,[new_symbols(definition,[sQ159_spl])],[split_symbol_definition]) ).
fof(f5534,plain,
( sQ159_spl
| ~ sQ24_spl ),
inference(split_clause,[status(thm)],[f5493,f2057,f5531]) ).
fof(f5535,definition,
! [X0,X1] :
( sQ160_spl
<=> c_lessequals(X0,c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(X0,X1,tc_fun(tc_Message_Omsg,tc_bool))),tc_fun(tc_Message_Omsg,tc_bool)) ),
introduced(definition,[new_symbols(definition,[sQ160_spl])],[split_symbol_definition]) ).
fof(f5538,plain,
( sQ160_spl
| ~ sQ24_spl ),
inference(split_clause,[status(thm)],[f5494,f2057,f5535]) ).
fof(f5541,plain,
! [X0,X1,X2,X3] :
( c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,c_Lattices_Oupper__semilattice__class_Osup(X1,X3,X0),X0),X0)
| ~ class_Lattices_Oupper__semilattice(X0) ),
inference(duplicate_literals_removal,[status(thm)],[f5501]) ).
fof(f5542,plain,
! [X0,X1,X2,X3] :
( c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X0),X3,X0),X0)
| ~ class_Lattices_Oupper__semilattice(X0) ),
inference(duplicate_literals_removal,[status(thm)],[f5502]) ).
fof(f5544,definition,
! [X0,X1,X2,X3] :
( sQ161_spl
<=> ( ~ c_lessequals(c_Message_Oparts(c_Set_Oinsert(X0,c_Set_Oinsert(X1,X3,tc_Message_Omsg),tc_Message_Omsg)),X2,tc_fun(tc_Message_Omsg,tc_bool))
| c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Set_Oinsert(X0,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),c_Message_Oparts(c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),X2,tc_fun(tc_Message_Omsg,tc_bool)) ) ),
introduced(definition,[new_symbols(definition,[sQ161_spl])],[split_symbol_definition]) ).
fof(f5547,plain,
( sQ161_spl
| ~ sQ24_spl ),
inference(split_clause,[status(thm)],[f5510,f2057,f5544]) ).
fof(f5548,definition,
! [X0,X1,X2,X3,X4] :
( sQ162_spl
<=> ( ~ c_lessequals(c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_OSays(X2,X3,X0),X4,tc_Event_Oevent)),X1,tc_fun(tc_Message_Omsg,tc_bool))
| c_lessequals(c_Message_Oparts(c_Set_Oinsert(X0,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),X1,tc_fun(tc_Message_Omsg,tc_bool)) ) ),
introduced(definition,[new_symbols(definition,[sQ162_spl])],[split_symbol_definition]) ).
fof(f5551,plain,
( sQ162_spl
| ~ sQ24_spl ),
inference(split_clause,[status(thm)],[f5513,f2057,f5548]) ).
fof(f5552,definition,
! [X0,X1,X2,X3] :
( sQ163_spl
<=> ( ~ c_lessequals(c_Message_Oparts(c_Set_Oinsert(X0,c_Event_Oknows(X2,X3),tc_Message_Omsg)),X1,tc_fun(tc_Message_Omsg,tc_bool))
| c_lessequals(c_Message_Oparts(c_Set_Oinsert(X0,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),X1,tc_fun(tc_Message_Omsg,tc_bool)) ) ),
introduced(definition,[new_symbols(definition,[sQ163_spl])],[split_symbol_definition]) ).
fof(f5555,plain,
( sQ163_spl
| ~ sQ24_spl ),
inference(split_clause,[status(thm)],[f5514,f2057,f5552]) ).
fof(f5556,definition,
! [X0,X1] :
( sQ164_spl
<=> ( ~ c_lessequals(c_Message_Oparts(c_Message_Osynth(X0)),X1,tc_fun(tc_Message_Omsg,tc_bool))
| c_lessequals(c_Message_Oparts(X0),X1,tc_fun(tc_Message_Omsg,tc_bool)) ) ),
introduced(definition,[new_symbols(definition,[sQ164_spl])],[split_symbol_definition]) ).
fof(f5559,plain,
( sQ164_spl
| ~ sQ24_spl ),
inference(split_clause,[status(thm)],[f5515,f2057,f5556]) ).
fof(f5568,plain,
! [X0,X1,X2,X3] :
( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Set_Oinsert(X0,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),c_Message_Oparts(c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(X2,c_Message_Oparts(c_Set_Oinsert(X0,c_Set_Oinsert(X1,X3,tc_Message_Omsg),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool))
| ~ class_Lattices_Oupper__semilattice(tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(paramodulation,[status(thm)],[f674,f5541]) ).
fof(f5571,plain,
! [X0,X1,X2,X3,X4] :
( c_lessequals(c_Message_Oparts(c_Set_Oinsert(X0,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),c_Lattices_Oupper__semilattice__class_Osup(X1,c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_OSays(X2,X3,X0),X4,tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool))
| ~ class_Lattices_Oupper__semilattice(tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(paramodulation,[status(thm)],[f672,f5541]) ).
fof(f5572,plain,
! [X0,X1,X2,X3] :
( c_lessequals(c_Message_Oparts(c_Set_Oinsert(X0,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),c_Lattices_Oupper__semilattice__class_Osup(X1,c_Message_Oparts(c_Set_Oinsert(X0,c_Event_Oknows(X2,X3),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool))
| ~ class_Lattices_Oupper__semilattice(tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(paramodulation,[status(thm)],[f845,f5541]) ).
fof(f5573,plain,
! [X0,X1] :
( c_lessequals(c_Message_Oparts(X0),c_Lattices_Oupper__semilattice__class_Osup(X1,c_Message_Oparts(c_Message_Osynth(X0)),tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool))
| ~ class_Lattices_Oupper__semilattice(tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(paramodulation,[status(thm)],[f653,f5541]) ).
fof(f5579,definition,
! [X0,X1,X2,X3] :
( sQ165_spl
<=> c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Set_Oinsert(X0,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),c_Message_Oparts(c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(X2,c_Message_Oparts(c_Set_Oinsert(X0,c_Set_Oinsert(X1,X3,tc_Message_Omsg),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool)) ),
introduced(definition,[new_symbols(definition,[sQ165_spl])],[split_symbol_definition]) ).
fof(f5582,plain,
( sQ165_spl
| ~ sQ24_spl ),
inference(split_clause,[status(thm)],[f5568,f2057,f5579]) ).
fof(f5583,definition,
! [X0,X1,X2,X3,X4] :
( sQ166_spl
<=> c_lessequals(c_Message_Oparts(c_Set_Oinsert(X0,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),c_Lattices_Oupper__semilattice__class_Osup(X1,c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_OSays(X2,X3,X0),X4,tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool)) ),
introduced(definition,[new_symbols(definition,[sQ166_spl])],[split_symbol_definition]) ).
fof(f5586,plain,
( sQ166_spl
| ~ sQ24_spl ),
inference(split_clause,[status(thm)],[f5571,f2057,f5583]) ).
fof(f5587,definition,
! [X0,X1,X2,X3] :
( sQ167_spl
<=> c_lessequals(c_Message_Oparts(c_Set_Oinsert(X0,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),c_Lattices_Oupper__semilattice__class_Osup(X1,c_Message_Oparts(c_Set_Oinsert(X0,c_Event_Oknows(X2,X3),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool)) ),
introduced(definition,[new_symbols(definition,[sQ167_spl])],[split_symbol_definition]) ).
fof(f5590,plain,
( sQ167_spl
| ~ sQ24_spl ),
inference(split_clause,[status(thm)],[f5572,f2057,f5587]) ).
fof(f5591,definition,
! [X0,X1] :
( sQ168_spl
<=> c_lessequals(c_Message_Oparts(X0),c_Lattices_Oupper__semilattice__class_Osup(X1,c_Message_Oparts(c_Message_Osynth(X0)),tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool)) ),
introduced(definition,[new_symbols(definition,[sQ168_spl])],[split_symbol_definition]) ).
fof(f5594,plain,
( sQ168_spl
| ~ sQ24_spl ),
inference(split_clause,[status(thm)],[f5573,f2057,f5591]) ).
fof(f5595,plain,
! [X0,X1,X2] :
( ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(c_Message_Oanalz(X1)),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(tc_Message_Omsg,tc_bool))),tc_fun(tc_Message_Omsg,tc_bool)),c_Message_Oanalz(c_Set_Oinsert(X0,X2,tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool))
| c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(c_Message_Oanalz(X1)),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(tc_Message_Omsg,tc_bool))),tc_fun(tc_Message_Omsg,tc_bool)) = c_Message_Oanalz(c_Set_Oinsert(X0,X2,tc_Message_Omsg))
| ~ class_Orderings_Oorder(tc_fun(tc_Message_Omsg,tc_bool))
| ~ hBOOL(c_in(X0,c_Message_Osynth(c_Message_Oanalz(X1)),tc_Message_Omsg)) ),
inference(resolution,[status(thm)],[f680,f854]) ).
fof(f5623,definition,
! [X0,X1,X2] :
( sQ169_spl
<=> ( ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(c_Message_Oanalz(X1)),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(tc_Message_Omsg,tc_bool))),tc_fun(tc_Message_Omsg,tc_bool)),c_Message_Oanalz(c_Set_Oinsert(X0,X2,tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool))
| c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(c_Message_Oanalz(X1)),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(tc_Message_Omsg,tc_bool))),tc_fun(tc_Message_Omsg,tc_bool)) = c_Message_Oanalz(c_Set_Oinsert(X0,X2,tc_Message_Omsg))
| ~ hBOOL(c_in(X0,c_Message_Osynth(c_Message_Oanalz(X1)),tc_Message_Omsg)) ) ),
introduced(definition,[new_symbols(definition,[sQ169_spl])],[split_symbol_definition]) ).
fof(f5626,plain,
( ~ sQ78_spl
| sQ169_spl ),
inference(split_clause,[status(thm)],[f5595,f5623,f3751]) ).
fof(f5645,plain,
! [X0] :
( ~ c_lessequals(c_Event_Oused(X0),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X0)),tc_fun(tc_Message_Omsg,tc_bool))
| c_Event_Oused(X0) = c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X0))
| ~ class_Orderings_Oorder(tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(resolution,[status(thm)],[f685,f854]) ).
fof(f5650,definition,
! [X0] :
( sQ170_spl
<=> ( ~ c_lessequals(c_Event_Oused(X0),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X0)),tc_fun(tc_Message_Omsg,tc_bool))
| c_Event_Oused(X0) = c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ170_spl])],[split_symbol_definition]) ).
fof(f5653,plain,
( sQ170_spl
| ~ sQ78_spl ),
inference(split_clause,[status(thm)],[f5645,f3751,f5650]) ).
fof(f5655,plain,
( ~ sQ40_spl
| hBOOL(c_in(hAPP(c_Public_OshrK,v_A),c_Message_OkeysFor(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs))),tc_nat))
| c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)) = c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,v_A)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg) ),
inference(paramodulation,[status(thm)],[f571,f5211]) ).
fof(f5714,plain,
( ~ sQ40_spl
| c_Message_Oparts(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs))) = c_Message_Oparts(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,v_A)),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs),tc_Message_Omsg)) ),
inference(paramodulation,[status(thm)],[f5211,f1191]) ).
fof(f5722,definition,
( sQ171_spl
<=> c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)) = c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,v_A)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg) ),
introduced(definition,[new_symbols(definition,[sQ171_spl])],[split_symbol_definition]) ).
fof(f5725,plain,
( ~ sQ40_spl
| sQ38_spl
| sQ171_spl ),
inference(split_clause,[status(thm)],[f5655,f5722,f2511,f2519]) ).
fof(f5782,plain,
( ~ sQ40_spl
| c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)) = c_Message_Oparts(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,v_A)),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs),tc_Message_Omsg)) ),
inference(forward_demodulation,[status(thm)],[f1191,f5714]) ).
fof(f5924,definition,
( sQ175_spl
<=> c_Message_Oanalz(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,v_A)),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs),tc_Message_Omsg)) = c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)) ),
introduced(definition,[new_symbols(definition,[sQ175_spl])],[split_symbol_definition]) ).
fof(f5926,plain,
( sQ175_spl
| c_Message_Oanalz(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,v_A)),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs),tc_Message_Omsg)) != c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)) ),
inference(component_clause,[status(thm)],[f5924]) ).
fof(f5934,plain,
( sQ175_spl
| ~ sQ40_spl
| c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)) != c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)) ),
inference(forward_demodulation,[status(thm)],[f5211,f5926]) ).
fof(f5935,plain,
( sQ175_spl
| ~ sQ40_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f5934]) ).
fof(f5936,plain,
( sQ175_spl
| ~ sQ40_spl ),
inference(contradiction_clause,[status(thm)],[f5935]) ).
fof(f5940,plain,
! [X0,X1,X2] :
( hBOOL(c_in(X2,c_Event_Obad,tc_Message_Oagent))
| hBOOL(hAPP(c_Set_Oinsert(X0,c_Event_Oknows(c_Message_Oagent_OSpy,X1),tc_Message_Omsg),hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,c_Message_Oagent_OSpy)))) ),
inference(paramodulation,[status(thm)],[f1275,f4395]) ).
fof(f5942,definition,
! [X0,X1] :
( sQ177_spl
<=> hBOOL(hAPP(c_Set_Oinsert(X0,c_Event_Oknows(c_Message_Oagent_OSpy,X1),tc_Message_Omsg),hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,c_Message_Oagent_OSpy)))) ),
introduced(definition,[new_symbols(definition,[sQ177_spl])],[split_symbol_definition]) ).
fof(f5945,plain,
( sQ7_spl
| sQ177_spl ),
inference(split_clause,[status(thm)],[f5940,f5942,f1551]) ).
fof(f6049,plain,
! [X0,X1,X2] :
( c_lessequals(c_Message_Oparts(c_Set_Oinsert(X0,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),c_Message_Oparts(c_Set_Oinsert(X0,c_Set_Oinsert(X1,X2,tc_Message_Omsg),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool))
| ~ class_Lattices_Oupper__semilattice(tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(paramodulation,[status(thm)],[f674,f5542]) ).
fof(f6053,plain,
! [X0,X1,X2,X3] :
( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Set_Oinsert(X0,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),c_Message_Oparts(c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Set_Oinsert(X0,c_Set_Oinsert(X1,X2,tc_Message_Omsg),tc_Message_Omsg)),X3,tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool))
| ~ class_Lattices_Oupper__semilattice(tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(paramodulation,[status(thm)],[f674,f5542]) ).
fof(f6056,plain,
! [X0,X1,X2,X3,X4] :
( c_lessequals(c_Message_Oparts(c_Set_Oinsert(X0,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),c_Lattices_Oupper__semilattice__class_Osup(c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_OSays(X1,X2,X0),X3,tc_Event_Oevent)),X4,tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool))
| ~ class_Lattices_Oupper__semilattice(tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(paramodulation,[status(thm)],[f672,f5542]) ).
fof(f6057,plain,
! [X0,X1,X2,X3] :
( c_lessequals(c_Message_Oparts(c_Set_Oinsert(X0,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Set_Oinsert(X0,c_Event_Oknows(X1,X2),tc_Message_Omsg)),X3,tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool))
| ~ class_Lattices_Oupper__semilattice(tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(paramodulation,[status(thm)],[f845,f5542]) ).
fof(f6058,plain,
! [X0,X1] :
( c_lessequals(c_Message_Oparts(X0),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Message_Osynth(X0)),X1,tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool))
| ~ class_Lattices_Oupper__semilattice(tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(paramodulation,[status(thm)],[f653,f5542]) ).
fof(f6064,definition,
! [X0,X1,X2] :
( sQ179_spl
<=> c_lessequals(c_Message_Oparts(c_Set_Oinsert(X0,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),c_Message_Oparts(c_Set_Oinsert(X0,c_Set_Oinsert(X1,X2,tc_Message_Omsg),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)) ),
introduced(definition,[new_symbols(definition,[sQ179_spl])],[split_symbol_definition]) ).
fof(f6067,plain,
( sQ179_spl
| ~ sQ24_spl ),
inference(split_clause,[status(thm)],[f6049,f2057,f6064]) ).
fof(f6068,definition,
! [X0,X1,X2,X3] :
( sQ180_spl
<=> c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Set_Oinsert(X0,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),c_Message_Oparts(c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Set_Oinsert(X0,c_Set_Oinsert(X1,X2,tc_Message_Omsg),tc_Message_Omsg)),X3,tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool)) ),
introduced(definition,[new_symbols(definition,[sQ180_spl])],[split_symbol_definition]) ).
fof(f6071,plain,
( sQ180_spl
| ~ sQ24_spl ),
inference(split_clause,[status(thm)],[f6053,f2057,f6068]) ).
fof(f6072,definition,
! [X0,X1,X2,X3,X4] :
( sQ181_spl
<=> c_lessequals(c_Message_Oparts(c_Set_Oinsert(X0,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),c_Lattices_Oupper__semilattice__class_Osup(c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_OSays(X1,X2,X0),X3,tc_Event_Oevent)),X4,tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool)) ),
introduced(definition,[new_symbols(definition,[sQ181_spl])],[split_symbol_definition]) ).
fof(f6075,plain,
( sQ181_spl
| ~ sQ24_spl ),
inference(split_clause,[status(thm)],[f6056,f2057,f6072]) ).
fof(f6076,definition,
! [X0,X1,X2,X3] :
( sQ182_spl
<=> c_lessequals(c_Message_Oparts(c_Set_Oinsert(X0,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Set_Oinsert(X0,c_Event_Oknows(X1,X2),tc_Message_Omsg)),X3,tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool)) ),
introduced(definition,[new_symbols(definition,[sQ182_spl])],[split_symbol_definition]) ).
fof(f6079,plain,
( sQ182_spl
| ~ sQ24_spl ),
inference(split_clause,[status(thm)],[f6057,f2057,f6076]) ).
fof(f6080,definition,
! [X0,X1] :
( sQ183_spl
<=> c_lessequals(c_Message_Oparts(X0),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Message_Osynth(X0)),X1,tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool)) ),
introduced(definition,[new_symbols(definition,[sQ183_spl])],[split_symbol_definition]) ).
fof(f6083,plain,
( sQ183_spl
| ~ sQ24_spl ),
inference(split_clause,[status(thm)],[f6058,f2057,f6080]) ).
fof(f6086,plain,
! [X0,X1] :
( ~ sQ89_spl
| c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(X0,X1,tc_fun(tc_Message_Omsg,tc_bool))) = c_Lattices_Oupper__semilattice__class_Osup(X0,X1,tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(X0,X1,tc_fun(tc_Message_Omsg,tc_bool))),X1,tc_fun(tc_Message_Omsg,tc_bool))
| ~ class_Lattices_Oupper__semilattice(tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(resolution,[status(thm)],[f1080,f3795]) ).
fof(f6087,plain,
! [X0,X1] :
( ~ sQ88_spl
| c_Message_Osynth(c_Lattices_Oupper__semilattice__class_Osup(X0,X1,tc_fun(tc_Message_Omsg,tc_bool))) = c_Lattices_Oupper__semilattice__class_Osup(X0,X1,tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(c_Message_Osynth(c_Lattices_Oupper__semilattice__class_Osup(X0,X1,tc_fun(tc_Message_Omsg,tc_bool))),X1,tc_fun(tc_Message_Omsg,tc_bool))
| ~ class_Lattices_Oupper__semilattice(tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(resolution,[status(thm)],[f1080,f3791]) ).
fof(f6088,plain,
! [X0,X1] :
( ~ sQ87_spl
| c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X0,X1,tc_fun(tc_Message_Omsg,tc_bool))) = c_Lattices_Oupper__semilattice__class_Osup(X0,X1,tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X0,X1,tc_fun(tc_Message_Omsg,tc_bool))),X1,tc_fun(tc_Message_Omsg,tc_bool))
| ~ class_Lattices_Oupper__semilattice(tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(resolution,[status(thm)],[f1080,f3787]) ).
fof(f6092,plain,
! [X0,X1,X2,X3] :
( ~ c_lessequals(X0,c_Message_Oparts(X3),tc_fun(tc_Message_Omsg,tc_bool))
| c_lessequals(X0,c_Message_Oparts(c_Set_Oinsert(X1,c_Set_Oinsert(X2,X3,tc_Message_Omsg),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool))
| ~ class_Lattices_Oupper__semilattice(tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(paramodulation,[status(thm)],[f674,f1080]) ).
fof(f6095,plain,
! [X0,X1,X2,X3,X4] :
( ~ c_lessequals(X0,c_Event_Oused(X4),tc_fun(tc_Message_Omsg,tc_bool))
| c_lessequals(X0,c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_OSays(X1,X2,X3),X4,tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool))
| ~ class_Lattices_Oupper__semilattice(tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(paramodulation,[status(thm)],[f672,f1080]) ).
fof(f6097,plain,
! [X0,X1] :
( ~ c_lessequals(X0,c_Message_Osynth(X1),tc_fun(tc_Message_Omsg,tc_bool))
| c_lessequals(X0,c_Message_Oparts(c_Message_Osynth(X1)),tc_fun(tc_Message_Omsg,tc_bool))
| ~ class_Lattices_Oupper__semilattice(tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(paramodulation,[status(thm)],[f653,f1080]) ).
fof(f6103,definition,
! [X0,X1] :
( sQ184_spl
<=> ( c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(X0,X1,tc_fun(tc_Message_Omsg,tc_bool))) = c_Lattices_Oupper__semilattice__class_Osup(X0,X1,tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(X0,X1,tc_fun(tc_Message_Omsg,tc_bool))),X1,tc_fun(tc_Message_Omsg,tc_bool)) ) ),
introduced(definition,[new_symbols(definition,[sQ184_spl])],[split_symbol_definition]) ).
fof(f6106,plain,
( ~ sQ89_spl
| sQ184_spl
| ~ sQ24_spl ),
inference(split_clause,[status(thm)],[f6086,f2057,f6103,f3794]) ).
fof(f6107,definition,
! [X0,X1] :
( sQ185_spl
<=> ( c_Message_Osynth(c_Lattices_Oupper__semilattice__class_Osup(X0,X1,tc_fun(tc_Message_Omsg,tc_bool))) = c_Lattices_Oupper__semilattice__class_Osup(X0,X1,tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(c_Message_Osynth(c_Lattices_Oupper__semilattice__class_Osup(X0,X1,tc_fun(tc_Message_Omsg,tc_bool))),X1,tc_fun(tc_Message_Omsg,tc_bool)) ) ),
introduced(definition,[new_symbols(definition,[sQ185_spl])],[split_symbol_definition]) ).
fof(f6110,plain,
( ~ sQ88_spl
| sQ185_spl
| ~ sQ24_spl ),
inference(split_clause,[status(thm)],[f6087,f2057,f6107,f3790]) ).
fof(f6111,definition,
! [X0,X1] :
( sQ186_spl
<=> ( c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X0,X1,tc_fun(tc_Message_Omsg,tc_bool))) = c_Lattices_Oupper__semilattice__class_Osup(X0,X1,tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X0,X1,tc_fun(tc_Message_Omsg,tc_bool))),X1,tc_fun(tc_Message_Omsg,tc_bool)) ) ),
introduced(definition,[new_symbols(definition,[sQ186_spl])],[split_symbol_definition]) ).
fof(f6114,plain,
( ~ sQ87_spl
| sQ186_spl
| ~ sQ24_spl ),
inference(split_clause,[status(thm)],[f6088,f2057,f6111,f3786]) ).
fof(f6115,definition,
! [X0,X1,X2,X3] :
( sQ187_spl
<=> ( ~ c_lessequals(X0,c_Message_Oparts(X3),tc_fun(tc_Message_Omsg,tc_bool))
| c_lessequals(X0,c_Message_Oparts(c_Set_Oinsert(X1,c_Set_Oinsert(X2,X3,tc_Message_Omsg),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)) ) ),
introduced(definition,[new_symbols(definition,[sQ187_spl])],[split_symbol_definition]) ).
fof(f6118,plain,
( sQ187_spl
| ~ sQ24_spl ),
inference(split_clause,[status(thm)],[f6092,f2057,f6115]) ).
fof(f6119,definition,
! [X0,X1,X2,X3,X4] :
( sQ188_spl
<=> ( ~ c_lessequals(X0,c_Event_Oused(X4),tc_fun(tc_Message_Omsg,tc_bool))
| c_lessequals(X0,c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_OSays(X1,X2,X3),X4,tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)) ) ),
introduced(definition,[new_symbols(definition,[sQ188_spl])],[split_symbol_definition]) ).
fof(f6122,plain,
( sQ188_spl
| ~ sQ24_spl ),
inference(split_clause,[status(thm)],[f6095,f2057,f6119]) ).
fof(f6123,definition,
! [X0,X1,X2,X3] :
( sQ189_spl
<=> ( ~ c_lessequals(X0,c_Message_Oparts(c_Event_Oknows(X2,X3)),tc_fun(tc_Message_Omsg,tc_bool))
| c_lessequals(X0,c_Message_Oparts(c_Set_Oinsert(X1,c_Event_Oknows(X2,X3),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)) ) ),
introduced(definition,[new_symbols(definition,[sQ189_spl])],[split_symbol_definition]) ).
fof(f6127,definition,
! [X0,X1] :
( sQ190_spl
<=> ( ~ c_lessequals(X0,c_Message_Osynth(X1),tc_fun(tc_Message_Omsg,tc_bool))
| c_lessequals(X0,c_Message_Oparts(c_Message_Osynth(X1)),tc_fun(tc_Message_Omsg,tc_bool)) ) ),
introduced(definition,[new_symbols(definition,[sQ190_spl])],[split_symbol_definition]) ).
fof(f6130,plain,
( sQ190_spl
| ~ sQ24_spl ),
inference(split_clause,[status(thm)],[f6097,f2057,f6127]) ).
fof(f6133,plain,
! [X0,X1] :
( ~ sQ89_spl
| c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(X0,X1,tc_fun(tc_Message_Omsg,tc_bool))) = c_Lattices_Oupper__semilattice__class_Osup(X0,X1,tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(X0,X1,tc_fun(tc_Message_Omsg,tc_bool))),X0,tc_fun(tc_Message_Omsg,tc_bool))
| ~ class_Lattices_Oupper__semilattice(tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(resolution,[status(thm)],[f1082,f3795]) ).
fof(f6134,plain,
! [X0,X1] :
( ~ sQ88_spl
| c_Message_Osynth(c_Lattices_Oupper__semilattice__class_Osup(X0,X1,tc_fun(tc_Message_Omsg,tc_bool))) = c_Lattices_Oupper__semilattice__class_Osup(X0,X1,tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(c_Message_Osynth(c_Lattices_Oupper__semilattice__class_Osup(X0,X1,tc_fun(tc_Message_Omsg,tc_bool))),X0,tc_fun(tc_Message_Omsg,tc_bool))
| ~ class_Lattices_Oupper__semilattice(tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(resolution,[status(thm)],[f1082,f3791]) ).
fof(f6135,plain,
! [X0,X1] :
( ~ sQ87_spl
| c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X0,X1,tc_fun(tc_Message_Omsg,tc_bool))) = c_Lattices_Oupper__semilattice__class_Osup(X0,X1,tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X0,X1,tc_fun(tc_Message_Omsg,tc_bool))),X0,tc_fun(tc_Message_Omsg,tc_bool))
| ~ class_Lattices_Oupper__semilattice(tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(resolution,[status(thm)],[f1082,f3787]) ).
fof(f6139,plain,
! [X0,X1,X2,X3] :
( ~ c_lessequals(X0,c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),c_Message_Oparts(c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool))
| c_lessequals(X0,c_Message_Oparts(c_Set_Oinsert(X1,c_Set_Oinsert(X2,X3,tc_Message_Omsg),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool))
| ~ class_Lattices_Oupper__semilattice(tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(paramodulation,[status(thm)],[f674,f1082]) ).
fof(f6142,plain,
! [X0,X1,X2,X3,X4] :
( ~ c_lessequals(X0,c_Message_Oparts(c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool))
| c_lessequals(X0,c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_OSays(X1,X2,X3),X4,tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool))
| ~ class_Lattices_Oupper__semilattice(tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(paramodulation,[status(thm)],[f672,f1082]) ).
fof(f6143,plain,
! [X0,X1,X2,X3] :
( ~ c_lessequals(X0,c_Message_Oparts(c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool))
| c_lessequals(X0,c_Message_Oparts(c_Set_Oinsert(X1,c_Event_Oknows(X2,X3),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool))
| ~ class_Lattices_Oupper__semilattice(tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(paramodulation,[status(thm)],[f845,f1082]) ).
fof(f6150,definition,
! [X0,X1] :
( sQ191_spl
<=> ( c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(X0,X1,tc_fun(tc_Message_Omsg,tc_bool))) = c_Lattices_Oupper__semilattice__class_Osup(X0,X1,tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(X0,X1,tc_fun(tc_Message_Omsg,tc_bool))),X0,tc_fun(tc_Message_Omsg,tc_bool)) ) ),
introduced(definition,[new_symbols(definition,[sQ191_spl])],[split_symbol_definition]) ).
fof(f6153,plain,
( ~ sQ89_spl
| sQ191_spl
| ~ sQ24_spl ),
inference(split_clause,[status(thm)],[f6133,f2057,f6150,f3794]) ).
fof(f6154,definition,
! [X0,X1] :
( sQ192_spl
<=> ( c_Message_Osynth(c_Lattices_Oupper__semilattice__class_Osup(X0,X1,tc_fun(tc_Message_Omsg,tc_bool))) = c_Lattices_Oupper__semilattice__class_Osup(X0,X1,tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(c_Message_Osynth(c_Lattices_Oupper__semilattice__class_Osup(X0,X1,tc_fun(tc_Message_Omsg,tc_bool))),X0,tc_fun(tc_Message_Omsg,tc_bool)) ) ),
introduced(definition,[new_symbols(definition,[sQ192_spl])],[split_symbol_definition]) ).
fof(f6157,plain,
( ~ sQ88_spl
| sQ192_spl
| ~ sQ24_spl ),
inference(split_clause,[status(thm)],[f6134,f2057,f6154,f3790]) ).
fof(f6158,definition,
! [X0,X1] :
( sQ193_spl
<=> ( c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X0,X1,tc_fun(tc_Message_Omsg,tc_bool))) = c_Lattices_Oupper__semilattice__class_Osup(X0,X1,tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X0,X1,tc_fun(tc_Message_Omsg,tc_bool))),X0,tc_fun(tc_Message_Omsg,tc_bool)) ) ),
introduced(definition,[new_symbols(definition,[sQ193_spl])],[split_symbol_definition]) ).
fof(f6161,plain,
( ~ sQ87_spl
| sQ193_spl
| ~ sQ24_spl ),
inference(split_clause,[status(thm)],[f6135,f2057,f6158,f3786]) ).
fof(f6162,definition,
! [X0,X1,X2,X3] :
( sQ194_spl
<=> ( ~ c_lessequals(X0,c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),c_Message_Oparts(c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool))
| c_lessequals(X0,c_Message_Oparts(c_Set_Oinsert(X1,c_Set_Oinsert(X2,X3,tc_Message_Omsg),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)) ) ),
introduced(definition,[new_symbols(definition,[sQ194_spl])],[split_symbol_definition]) ).
fof(f6165,plain,
( sQ194_spl
| ~ sQ24_spl ),
inference(split_clause,[status(thm)],[f6139,f2057,f6162]) ).
fof(f6166,definition,
! [X0,X1,X2,X3,X4] :
( sQ195_spl
<=> ( ~ c_lessequals(X0,c_Message_Oparts(c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool))
| c_lessequals(X0,c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_OSays(X1,X2,X3),X4,tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)) ) ),
introduced(definition,[new_symbols(definition,[sQ195_spl])],[split_symbol_definition]) ).
fof(f6169,plain,
( sQ195_spl
| ~ sQ24_spl ),
inference(split_clause,[status(thm)],[f6142,f2057,f6166]) ).
fof(f6170,definition,
! [X0,X1,X2,X3] :
( sQ196_spl
<=> ( ~ c_lessequals(X0,c_Message_Oparts(c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool))
| c_lessequals(X0,c_Message_Oparts(c_Set_Oinsert(X1,c_Event_Oknows(X2,X3),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)) ) ),
introduced(definition,[new_symbols(definition,[sQ196_spl])],[split_symbol_definition]) ).
fof(f6173,plain,
( sQ196_spl
| ~ sQ24_spl ),
inference(split_clause,[status(thm)],[f6143,f2057,f6170]) ).
fof(f6174,definition,
! [X0,X1] :
( sQ197_spl
<=> ( ~ c_lessequals(X0,c_Message_Oparts(X1),tc_fun(tc_Message_Omsg,tc_bool))
| c_lessequals(X0,c_Message_Oparts(c_Message_Osynth(X1)),tc_fun(tc_Message_Omsg,tc_bool)) ) ),
introduced(definition,[new_symbols(definition,[sQ197_spl])],[split_symbol_definition]) ).
fof(f6178,plain,
! [X0,X1,X2] :
( c_lessequals(X0,c_Message_Oparts(c_Set_Oinsert(X1,c_Lattices_Oupper__semilattice__class_Osup(X0,X2,tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool))
| ~ class_Lattices_Oupper__semilattice(tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(resolution,[status(thm)],[f2168,f1078]) ).
fof(f6179,plain,
! [X0,X1,X2] :
( c_lessequals(X0,c_Message_Oparts(c_Set_Oinsert(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X0,tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool))
| ~ class_Lattices_Oupper__semilattice(tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(resolution,[status(thm)],[f2168,f1076]) ).
fof(f6182,plain,
! [X0,X1] :
( ~ c_lessequals(c_Message_Oparts(c_Set_Oinsert(X0,X1,tc_Message_Omsg)),X1,tc_fun(tc_Message_Omsg,tc_bool))
| c_Message_Oparts(c_Set_Oinsert(X0,X1,tc_Message_Omsg)) = X1
| ~ class_Orderings_Oorder(tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(resolution,[status(thm)],[f2168,f854]) ).
fof(f6193,definition,
! [X0,X1,X2] :
( sQ198_spl
<=> c_lessequals(X0,c_Message_Oparts(c_Set_Oinsert(X1,c_Lattices_Oupper__semilattice__class_Osup(X0,X2,tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)) ),
introduced(definition,[new_symbols(definition,[sQ198_spl])],[split_symbol_definition]) ).
fof(f6196,plain,
( sQ198_spl
| ~ sQ24_spl ),
inference(split_clause,[status(thm)],[f6178,f2057,f6193]) ).
fof(f6197,definition,
! [X0,X1,X2] :
( sQ199_spl
<=> c_lessequals(X0,c_Message_Oparts(c_Set_Oinsert(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X0,tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)) ),
introduced(definition,[new_symbols(definition,[sQ199_spl])],[split_symbol_definition]) ).
fof(f6200,plain,
( sQ199_spl
| ~ sQ24_spl ),
inference(split_clause,[status(thm)],[f6179,f2057,f6197]) ).
fof(f6201,definition,
! [X0,X1] :
( sQ200_spl
<=> ( ~ c_lessequals(c_Message_Oparts(c_Set_Oinsert(X0,X1,tc_Message_Omsg)),X1,tc_fun(tc_Message_Omsg,tc_bool))
| c_Message_Oparts(c_Set_Oinsert(X0,X1,tc_Message_Omsg)) = X1 ) ),
introduced(definition,[new_symbols(definition,[sQ200_spl])],[split_symbol_definition]) ).
fof(f6204,plain,
( sQ200_spl
| ~ sQ78_spl ),
inference(split_clause,[status(thm)],[f6182,f3751,f6201]) ).
fof(f6207,plain,
! [X0,X1,X2] :
( c_lessequals(X0,c_Message_Osynth(c_Set_Oinsert(X1,c_Lattices_Oupper__semilattice__class_Osup(X0,X2,tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool))
| ~ class_Lattices_Oupper__semilattice(tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(resolution,[status(thm)],[f2199,f1078]) ).
fof(f6208,plain,
! [X0,X1,X2] :
( c_lessequals(X0,c_Message_Osynth(c_Set_Oinsert(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X0,tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool))
| ~ class_Lattices_Oupper__semilattice(tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(resolution,[status(thm)],[f2199,f1076]) ).
fof(f6212,plain,
! [X0,X1] :
( ~ c_lessequals(c_Message_Osynth(c_Set_Oinsert(X0,X1,tc_Message_Omsg)),X1,tc_fun(tc_Message_Omsg,tc_bool))
| c_Message_Osynth(c_Set_Oinsert(X0,X1,tc_Message_Omsg)) = X1
| ~ class_Orderings_Oorder(tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(resolution,[status(thm)],[f2199,f854]) ).
fof(f6223,definition,
! [X0,X1,X2] :
( sQ201_spl
<=> c_lessequals(X0,c_Message_Osynth(c_Set_Oinsert(X1,c_Lattices_Oupper__semilattice__class_Osup(X0,X2,tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)) ),
introduced(definition,[new_symbols(definition,[sQ201_spl])],[split_symbol_definition]) ).
fof(f6226,plain,
( sQ201_spl
| ~ sQ24_spl ),
inference(split_clause,[status(thm)],[f6207,f2057,f6223]) ).
fof(f6227,definition,
! [X0,X1,X2] :
( sQ202_spl
<=> c_lessequals(X0,c_Message_Osynth(c_Set_Oinsert(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X0,tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)) ),
introduced(definition,[new_symbols(definition,[sQ202_spl])],[split_symbol_definition]) ).
fof(f6230,plain,
( sQ202_spl
| ~ sQ24_spl ),
inference(split_clause,[status(thm)],[f6208,f2057,f6227]) ).
fof(f6231,definition,
! [X0,X1] :
( sQ203_spl
<=> ( ~ c_lessequals(c_Message_Osynth(c_Set_Oinsert(X0,X1,tc_Message_Omsg)),X1,tc_fun(tc_Message_Omsg,tc_bool))
| c_Message_Osynth(c_Set_Oinsert(X0,X1,tc_Message_Omsg)) = X1 ) ),
introduced(definition,[new_symbols(definition,[sQ203_spl])],[split_symbol_definition]) ).
fof(f6234,plain,
( sQ203_spl
| ~ sQ78_spl ),
inference(split_clause,[status(thm)],[f6212,f3751,f6231]) ).
fof(f6237,plain,
! [X0,X1,X2] :
( c_lessequals(X0,c_Message_Oanalz(c_Set_Oinsert(X1,c_Lattices_Oupper__semilattice__class_Osup(X0,X2,tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool))
| ~ class_Lattices_Oupper__semilattice(tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(resolution,[status(thm)],[f2203,f1078]) ).
fof(f6238,plain,
! [X0,X1,X2] :
( c_lessequals(X0,c_Message_Oanalz(c_Set_Oinsert(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X0,tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool))
| ~ class_Lattices_Oupper__semilattice(tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(resolution,[status(thm)],[f2203,f1076]) ).
fof(f6241,plain,
! [X0,X1] :
( ~ c_lessequals(c_Message_Oanalz(c_Set_Oinsert(X0,X1,tc_Message_Omsg)),X1,tc_fun(tc_Message_Omsg,tc_bool))
| c_Message_Oanalz(c_Set_Oinsert(X0,X1,tc_Message_Omsg)) = X1
| ~ class_Orderings_Oorder(tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(resolution,[status(thm)],[f2203,f854]) ).
fof(f6256,definition,
! [X0,X1,X2] :
( sQ204_spl
<=> c_lessequals(X0,c_Message_Oanalz(c_Set_Oinsert(X1,c_Lattices_Oupper__semilattice__class_Osup(X0,X2,tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)) ),
introduced(definition,[new_symbols(definition,[sQ204_spl])],[split_symbol_definition]) ).
fof(f6259,plain,
( sQ204_spl
| ~ sQ24_spl ),
inference(split_clause,[status(thm)],[f6237,f2057,f6256]) ).
fof(f6260,definition,
! [X0,X1,X2] :
( sQ205_spl
<=> c_lessequals(X0,c_Message_Oanalz(c_Set_Oinsert(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X0,tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)) ),
introduced(definition,[new_symbols(definition,[sQ205_spl])],[split_symbol_definition]) ).
fof(f6263,plain,
( sQ205_spl
| ~ sQ24_spl ),
inference(split_clause,[status(thm)],[f6238,f2057,f6260]) ).
fof(f6264,definition,
! [X0,X1] :
( sQ206_spl
<=> ( ~ c_lessequals(c_Message_Oanalz(c_Set_Oinsert(X0,X1,tc_Message_Omsg)),X1,tc_fun(tc_Message_Omsg,tc_bool))
| c_Message_Oanalz(c_Set_Oinsert(X0,X1,tc_Message_Omsg)) = X1 ) ),
introduced(definition,[new_symbols(definition,[sQ206_spl])],[split_symbol_definition]) ).
fof(f6267,plain,
( sQ206_spl
| ~ sQ78_spl ),
inference(split_clause,[status(thm)],[f6241,f3751,f6264]) ).
fof(f6363,plain,
! [X0,X1,X2] :
( hAPP(c_Lattices_Oupper__semilattice__class_Osup(X0,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(t_a,tc_bool)),tc_fun(t_a,tc_bool)),v_x) = c_Lattices_Oupper__semilattice__class_Osup(hAPP(X1,v_x),hAPP(c_Lattices_Oupper__semilattice__class_Osup(X0,X2,tc_fun(t_a,tc_bool)),v_x),tc_bool)
| ~ class_Lattices_Olattice(tc_bool) ),
inference(paramodulation,[status(thm)],[f688,f638]) ).
fof(f6438,definition,
! [X0,X1,X2] :
( sQ207_spl
<=> hAPP(c_Lattices_Oupper__semilattice__class_Osup(X0,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(t_a,tc_bool)),tc_fun(t_a,tc_bool)),v_x) = c_Lattices_Oupper__semilattice__class_Osup(hAPP(X1,v_x),hAPP(c_Lattices_Oupper__semilattice__class_Osup(X0,X2,tc_fun(t_a,tc_bool)),v_x),tc_bool) ),
introduced(definition,[new_symbols(definition,[sQ207_spl])],[split_symbol_definition]) ).
fof(f6441,plain,
( sQ207_spl
| ~ sQ58_spl ),
inference(split_clause,[status(thm)],[f6363,f2846,f6438]) ).
fof(f6447,plain,
( ~ sQ40_spl
| ~ sQ89_spl
| ~ c_lessequals(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,v_A)),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs),tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool))
| c_Message_Oparts(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,v_A)),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs),tc_Message_Omsg)) = c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,v_A)),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs),tc_Message_Omsg) ),
inference(paramodulation,[status(thm)],[f5782,f3795]) ).
fof(f6474,definition,
( sQ210_spl
<=> c_Message_Oparts(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,v_A)),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs),tc_Message_Omsg)) = c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,v_A)),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs),tc_Message_Omsg) ),
introduced(definition,[new_symbols(definition,[sQ210_spl])],[split_symbol_definition]) ).
fof(f6475,plain,
( ~ sQ210_spl
| c_Message_Oparts(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,v_A)),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs),tc_Message_Omsg)) = c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,v_A)),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs),tc_Message_Omsg) ),
inference(component_clause,[status(thm)],[f6474]) ).
fof(f6477,definition,
( sQ211_spl
<=> c_lessequals(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,v_A)),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs),tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool)) ),
introduced(definition,[new_symbols(definition,[sQ211_spl])],[split_symbol_definition]) ).
fof(f6480,plain,
( ~ sQ40_spl
| ~ sQ89_spl
| ~ sQ211_spl
| sQ210_spl ),
inference(split_clause,[status(thm)],[f6447,f6474,f6477,f3794,f2519]) ).
fof(f6495,plain,
( ~ sQ210_spl
| ~ sQ40_spl
| c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)) = c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,v_A)),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs),tc_Message_Omsg) ),
inference(forward_demodulation,[status(thm)],[f5782,f6475]) ).
fof(f6502,plain,
( ~ sQ210_spl
| ~ sQ40_spl
| hBOOL(c_in(hAPP(c_Public_OshrK,v_A),c_Message_OkeysFor(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs))),tc_nat))
| c_Message_Oanalz(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs))) = c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,v_A)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg) ),
inference(paramodulation,[status(thm)],[f6495,f571]) ).
fof(f6550,definition,
( sQ212_spl
<=> c_Message_Oanalz(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs))) = c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)) ),
introduced(definition,[new_symbols(definition,[sQ212_spl])],[split_symbol_definition]) ).
fof(f6551,plain,
( ~ sQ212_spl
| c_Message_Oanalz(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs))) = c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)) ),
inference(component_clause,[status(thm)],[f6550]) ).
fof(f6555,definition,
( sQ213_spl
<=> c_Message_Oanalz(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs))) = c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,v_A)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg) ),
introduced(definition,[new_symbols(definition,[sQ213_spl])],[split_symbol_definition]) ).
fof(f6556,plain,
( ~ sQ213_spl
| c_Message_Oanalz(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs))) = c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,v_A)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg) ),
inference(component_clause,[status(thm)],[f6555]) ).
fof(f6558,plain,
( ~ sQ210_spl
| ~ sQ40_spl
| sQ38_spl
| sQ213_spl ),
inference(split_clause,[status(thm)],[f6502,f6555,f2511,f2519,f6474]) ).
fof(f6611,definition,
( sQ219_spl
<=> c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)) = c_Event_Oknows(c_Message_Oagent_OSpy,v_evs) ),
introduced(definition,[new_symbols(definition,[sQ219_spl])],[split_symbol_definition]) ).
fof(f6612,plain,
( ~ sQ219_spl
| c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)) = c_Event_Oknows(c_Message_Oagent_OSpy,v_evs) ),
inference(component_clause,[status(thm)],[f6611]) ).
fof(f6618,plain,
( ~ sQ212_spl
| c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)) = c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)) ),
inference(forward_demodulation,[status(thm)],[f1196,f6551]) ).
fof(f6622,plain,
( ~ sQ213_spl
| c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)) = c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,v_A)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg) ),
inference(forward_demodulation,[status(thm)],[f1196,f6556]) ).
fof(f6623,plain,
( ~ sQ213_spl
| ~ sQ42_spl
| c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)) = c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)) ),
inference(forward_demodulation,[status(thm)],[f2614,f6622]) ).
fof(f6646,plain,
( ~ sQ219_spl
| c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)) = c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)) ),
inference(paramodulation,[status(thm)],[f6612,f1196]) ).
fof(f6648,definition,
( sQ221_spl
<=> c_lessequals(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs),tc_fun(tc_Message_Omsg,tc_bool)) ),
introduced(definition,[new_symbols(definition,[sQ221_spl])],[split_symbol_definition]) ).
fof(f6650,plain,
( sQ221_spl
| ~ c_lessequals(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(component_clause,[status(thm)],[f6648]) ).
fof(f6659,plain,
( ~ sQ219_spl
| c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)) = c_Event_Oknows(c_Message_Oagent_OSpy,v_evs) ),
inference(forward_demodulation,[status(thm)],[f6612,f6646]) ).
fof(f6684,plain,
( ~ sQ219_spl
| ~ sQ87_spl
| ~ c_lessequals(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs),tc_fun(tc_Message_Omsg,tc_bool))
| c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)) = c_Event_Oknows(c_Message_Oagent_OSpy,v_evs) ),
inference(paramodulation,[status(thm)],[f6659,f3787]) ).
fof(f6731,definition,
( sQ222_spl
<=> c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)) = c_Event_Oknows(c_Message_Oagent_OSpy,v_evs) ),
introduced(definition,[new_symbols(definition,[sQ222_spl])],[split_symbol_definition]) ).
fof(f6732,plain,
( ~ sQ222_spl
| c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)) = c_Event_Oknows(c_Message_Oagent_OSpy,v_evs) ),
inference(component_clause,[status(thm)],[f6731]) ).
fof(f6734,plain,
( ~ sQ219_spl
| ~ sQ87_spl
| ~ sQ221_spl
| sQ222_spl ),
inference(split_clause,[status(thm)],[f6684,f6731,f6648,f3786,f6611]) ).
fof(f6773,plain,
( sQ221_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6650,f1095]) ).
fof(f6774,plain,
sQ221_spl,
inference(contradiction_clause,[status(thm)],[f6773]) ).
fof(f6902,plain,
( ~ sQ212_spl
| ~ sQ87_spl
| ~ c_lessequals(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs),tc_fun(tc_Message_Omsg,tc_bool))
| c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)) = c_Event_Oknows(c_Message_Oagent_OSpy,v_evs) ),
inference(paramodulation,[status(thm)],[f6618,f3787]) ).
fof(f6943,definition,
( sQ223_spl
<=> c_lessequals(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs),tc_fun(tc_Message_Omsg,tc_bool)) ),
introduced(definition,[new_symbols(definition,[sQ223_spl])],[split_symbol_definition]) ).
fof(f6945,plain,
( sQ223_spl
| ~ c_lessequals(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(component_clause,[status(thm)],[f6943]) ).
fof(f6946,plain,
( ~ sQ212_spl
| ~ sQ87_spl
| ~ sQ223_spl
| sQ222_spl ),
inference(split_clause,[status(thm)],[f6902,f6731,f6943,f3786,f6550]) ).
fof(f6985,plain,
( ~ sQ222_spl
| ~ sQ212_spl
| c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)) = c_Event_Oknows(c_Message_Oagent_OSpy,v_evs) ),
inference(forward_demodulation,[status(thm)],[f6618,f6732]) ).
fof(f6998,plain,
( ~ sQ222_spl
| ~ sQ212_spl
| ~ sQ89_spl
| ~ c_lessequals(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs),tc_fun(tc_Message_Omsg,tc_bool))
| c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)) = c_Event_Oknows(c_Message_Oagent_OSpy,v_evs) ),
inference(paramodulation,[status(thm)],[f6985,f3795]) ).
fof(f7017,plain,
( ~ sQ222_spl
| ~ sQ212_spl
| ~ sQ89_spl
| ~ sQ221_spl
| sQ219_spl ),
inference(split_clause,[status(thm)],[f6998,f6611,f6648,f3794,f6550,f6731]) ).
fof(f7030,plain,
( ~ sQ213_spl
| ~ sQ42_spl
| ~ sQ87_spl
| ~ c_lessequals(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs),tc_fun(tc_Message_Omsg,tc_bool))
| c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)) = c_Event_Oknows(c_Message_Oagent_OSpy,v_evs) ),
inference(paramodulation,[status(thm)],[f6623,f3787]) ).
fof(f7068,plain,
( ~ sQ213_spl
| ~ sQ42_spl
| c_Message_Oanalz(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs))) = c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)) ),
inference(paramodulation,[status(thm)],[f6623,f1291]) ).
fof(f7071,plain,
( ~ sQ213_spl
| ~ sQ42_spl
| ~ sQ87_spl
| ~ sQ223_spl
| sQ222_spl ),
inference(split_clause,[status(thm)],[f7030,f6731,f6943,f3786,f2529,f6555]) ).
fof(f7109,plain,
( ~ sQ213_spl
| ~ sQ42_spl
| sQ212_spl ),
inference(split_clause,[status(thm)],[f7068,f6550,f2529,f6555]) ).
fof(f7316,plain,
c_Message_Oparts(c_List_Oset(c_List_Olist_ONil(tc_Message_Omsg),tc_Message_Omsg)) = c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),
inference(paramodulation,[status(thm)],[f634,f759]) ).
fof(f7318,plain,
( ~ sQ89_spl
| ~ c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool))
| c_Message_Oparts(c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool))) = c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(paramodulation,[status(thm)],[f759,f3795]) ).
fof(f7338,definition,
( sQ224_spl
<=> c_Message_Oparts(c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool))) = c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)) ),
introduced(definition,[new_symbols(definition,[sQ224_spl])],[split_symbol_definition]) ).
fof(f7341,definition,
( sQ225_spl
<=> c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool)) ),
introduced(definition,[new_symbols(definition,[sQ225_spl])],[split_symbol_definition]) ).
fof(f7343,plain,
( sQ225_spl
| ~ c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(component_clause,[status(thm)],[f7341]) ).
fof(f7344,plain,
( ~ sQ89_spl
| ~ sQ225_spl
| sQ224_spl ),
inference(split_clause,[status(thm)],[f7318,f7338,f7341,f3794]) ).
fof(f7360,plain,
( sQ225_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f7343,f775]) ).
fof(f7361,plain,
sQ225_spl,
inference(contradiction_clause,[status(thm)],[f7360]) ).
fof(f7372,plain,
! [X0,X1] :
( X1 = c_Message_Oagent_OSpy
| hBOOL(hAPP(c_Set_Oinsert(X0,c_Event_Obad,tc_Message_Oagent),c_Message_Oagent_OSpy)) ),
inference(resolution,[status(thm)],[f788,f4390]) ).
fof(f7373,plain,
! [X0,X1] :
( X1 = v_evs
| hBOOL(hAPP(c_Set_Oinsert(X0,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)),v_evs)) ),
inference(resolution,[status(thm)],[f788,f4388]) ).
fof(f7375,plain,
! [X0] :
( X0 = c_Message_Oagent_OSpy
| hBOOL(hAPP(c_Event_Obad,c_Message_Oagent_OSpy)) ),
inference(resolution,[status(thm)],[f788,f4313]) ).
fof(f7376,plain,
! [X0] :
( X0 = c_List_Olist_ONil(tc_Event_Oevent)
| hBOOL(hAPP(c_NS__Shared__Mirabelle_Ons__shared,c_List_Olist_ONil(tc_Event_Oevent))) ),
inference(resolution,[status(thm)],[f788,f4385]) ).
fof(f7377,plain,
! [X0] :
( X0 = v_evs
| hBOOL(hAPP(c_NS__Shared__Mirabelle_Ons__shared,v_evs)) ),
inference(resolution,[status(thm)],[f788,f4236]) ).
fof(f7397,definition,
! [X0] :
( sQ226_spl
<=> hBOOL(hAPP(c_Set_Oinsert(X0,c_Event_Obad,tc_Message_Oagent),c_Message_Oagent_OSpy)) ),
introduced(definition,[new_symbols(definition,[sQ226_spl])],[split_symbol_definition]) ).
fof(f7400,definition,
! [X1] :
( sQ227_spl
<=> X1 = c_Message_Oagent_OSpy ),
introduced(definition,[new_symbols(definition,[sQ227_spl])],[split_symbol_definition]) ).
fof(f7401,plain,
! [X0] :
( ~ sQ227_spl
| X0 = c_Message_Oagent_OSpy ),
inference(component_clause,[status(thm)],[f7400]) ).
fof(f7403,plain,
( sQ227_spl
| sQ226_spl ),
inference(split_clause,[status(thm)],[f7372,f7397,f7400]) ).
fof(f7404,definition,
! [X0] :
( sQ228_spl
<=> hBOOL(hAPP(c_Set_Oinsert(X0,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)),v_evs)) ),
introduced(definition,[new_symbols(definition,[sQ228_spl])],[split_symbol_definition]) ).
fof(f7407,definition,
! [X1] :
( sQ229_spl
<=> X1 = v_evs ),
introduced(definition,[new_symbols(definition,[sQ229_spl])],[split_symbol_definition]) ).
fof(f7408,plain,
! [X0] :
( ~ sQ229_spl
| X0 = v_evs ),
inference(component_clause,[status(thm)],[f7407]) ).
fof(f7410,plain,
( sQ229_spl
| sQ228_spl ),
inference(split_clause,[status(thm)],[f7373,f7404,f7407]) ).
fof(f7411,plain,
( sQ227_spl
| sQ36_spl ),
inference(split_clause,[status(thm)],[f7375,f2440,f7400]) ).
fof(f7412,definition,
! [X0] :
( sQ230_spl
<=> X0 = c_List_Olist_ONil(tc_Event_Oevent) ),
introduced(definition,[new_symbols(definition,[sQ230_spl])],[split_symbol_definition]) ).
fof(f7413,plain,
! [X0] :
( ~ sQ230_spl
| X0 = c_List_Olist_ONil(tc_Event_Oevent) ),
inference(component_clause,[status(thm)],[f7412]) ).
fof(f7415,plain,
( sQ230_spl
| sQ70_spl ),
inference(split_clause,[status(thm)],[f7376,f3509,f7412]) ).
fof(f7416,plain,
( sQ229_spl
| sQ34_spl ),
inference(split_clause,[status(thm)],[f7377,f2433,f7407]) ).
fof(f7445,plain,
! [X0,X1,X2] :
( hAPP(c_Lattices_Oupper__semilattice__class_Osup(X0,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(t_a,tc_bool)),tc_fun(t_a,tc_bool)),v_x) = c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X0,X1,tc_fun(t_a,tc_bool)),v_x),hAPP(X2,v_x),tc_bool)
| ~ class_Lattices_Olattice(tc_bool) ),
inference(paramodulation,[status(thm)],[f689,f638]) ).
fof(f7495,definition,
! [X0,X1,X2] :
( sQ231_spl
<=> hAPP(c_Lattices_Oupper__semilattice__class_Osup(X0,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(t_a,tc_bool)),tc_fun(t_a,tc_bool)),v_x) = c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X0,X1,tc_fun(t_a,tc_bool)),v_x),hAPP(X2,v_x),tc_bool) ),
introduced(definition,[new_symbols(definition,[sQ231_spl])],[split_symbol_definition]) ).
fof(f7498,plain,
( sQ231_spl
| ~ sQ58_spl ),
inference(split_clause,[status(thm)],[f7445,f2846,f7495]) ).
fof(f7518,plain,
! [X0,X1,X2,X3,X4] :
( c_Lattices_Oupper__semilattice__class_Osup(c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_OSays(X0,X1,X2),X3,tc_Event_Oevent)),X4,tc_fun(tc_Message_Omsg,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),c_Lattices_Oupper__semilattice__class_Osup(c_Event_Oused(X3),X4,tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool))
| ~ class_Lattices_Oupper__semilattice(tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(paramodulation,[status(thm)],[f672,f691]) ).
fof(f7519,plain,
! [X0,X1,X2,X3] :
( c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Set_Oinsert(X0,c_Event_Oknows(X1,X2),tc_Message_Omsg)),X3,tc_fun(tc_Message_Omsg,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Set_Oinsert(X0,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Event_Oknows(X1,X2)),X3,tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool))
| ~ class_Lattices_Oupper__semilattice(tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(paramodulation,[status(thm)],[f845,f691]) ).
fof(f7520,plain,
! [X0,X1] :
( c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Message_Osynth(X0)),X1,tc_fun(tc_Message_Omsg,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(X0),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(X0),X1,tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool))
| ~ class_Lattices_Oupper__semilattice(tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(paramodulation,[status(thm)],[f653,f691]) ).
fof(f7530,definition,
! [X0,X1,X2,X3,X4] :
( sQ232_spl
<=> c_Lattices_Oupper__semilattice__class_Osup(c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_OSays(X0,X1,X2),X3,tc_Event_Oevent)),X4,tc_fun(tc_Message_Omsg,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),c_Lattices_Oupper__semilattice__class_Osup(c_Event_Oused(X3),X4,tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool)) ),
introduced(definition,[new_symbols(definition,[sQ232_spl])],[split_symbol_definition]) ).
fof(f7533,plain,
( sQ232_spl
| ~ sQ24_spl ),
inference(split_clause,[status(thm)],[f7518,f2057,f7530]) ).
fof(f7534,definition,
! [X0,X1,X2,X3] :
( sQ233_spl
<=> c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Set_Oinsert(X0,c_Event_Oknows(X1,X2),tc_Message_Omsg)),X3,tc_fun(tc_Message_Omsg,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Set_Oinsert(X0,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Event_Oknows(X1,X2)),X3,tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool)) ),
introduced(definition,[new_symbols(definition,[sQ233_spl])],[split_symbol_definition]) ).
fof(f7537,plain,
( sQ233_spl
| ~ sQ24_spl ),
inference(split_clause,[status(thm)],[f7519,f2057,f7534]) ).
fof(f7538,definition,
! [X0,X1] :
( sQ234_spl
<=> c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Message_Osynth(X0)),X1,tc_fun(tc_Message_Omsg,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(X0),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(X0),X1,tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool)) ),
introduced(definition,[new_symbols(definition,[sQ234_spl])],[split_symbol_definition]) ).
fof(f7541,plain,
( sQ234_spl
| ~ sQ24_spl ),
inference(split_clause,[status(thm)],[f7520,f2057,f7538]) ).
fof(f7557,plain,
! [X0,X1,X2,X3,X4] :
( c_Lattices_Oupper__semilattice__class_Osup(X0,c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_OSays(X1,X2,X3),X4,tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),c_Lattices_Oupper__semilattice__class_Osup(X0,c_Event_Oused(X4),tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool))
| ~ class_Lattices_Oupper__semilattice(tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(paramodulation,[status(thm)],[f672,f693]) ).
fof(f7558,plain,
! [X0,X1,X2,X3] :
( c_Lattices_Oupper__semilattice__class_Osup(X0,c_Message_Oparts(c_Set_Oinsert(X1,c_Event_Oknows(X2,X3),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),c_Lattices_Oupper__semilattice__class_Osup(X0,c_Message_Oparts(c_Event_Oknows(X2,X3)),tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool))
| ~ class_Lattices_Oupper__semilattice(tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(paramodulation,[status(thm)],[f845,f693]) ).
fof(f7559,plain,
! [X0,X1] :
( c_Lattices_Oupper__semilattice__class_Osup(X0,c_Message_Oparts(c_Message_Osynth(X1)),tc_fun(tc_Message_Omsg,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(X1),c_Lattices_Oupper__semilattice__class_Osup(X0,c_Message_Osynth(X1),tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool))
| ~ class_Lattices_Oupper__semilattice(tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(paramodulation,[status(thm)],[f653,f693]) ).
fof(f7586,definition,
! [X0,X1,X2,X3,X4] :
( sQ235_spl
<=> c_Lattices_Oupper__semilattice__class_Osup(X0,c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_OSays(X1,X2,X3),X4,tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),c_Lattices_Oupper__semilattice__class_Osup(X0,c_Event_Oused(X4),tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool)) ),
introduced(definition,[new_symbols(definition,[sQ235_spl])],[split_symbol_definition]) ).
fof(f7589,plain,
( sQ235_spl
| ~ sQ24_spl ),
inference(split_clause,[status(thm)],[f7557,f2057,f7586]) ).
fof(f7590,definition,
! [X0,X1,X2,X3] :
( sQ236_spl
<=> c_Lattices_Oupper__semilattice__class_Osup(X0,c_Message_Oparts(c_Set_Oinsert(X1,c_Event_Oknows(X2,X3),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),c_Lattices_Oupper__semilattice__class_Osup(X0,c_Message_Oparts(c_Event_Oknows(X2,X3)),tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool)) ),
introduced(definition,[new_symbols(definition,[sQ236_spl])],[split_symbol_definition]) ).
fof(f7593,plain,
( sQ236_spl
| ~ sQ24_spl ),
inference(split_clause,[status(thm)],[f7558,f2057,f7590]) ).
fof(f7594,definition,
! [X0,X1] :
( sQ237_spl
<=> c_Lattices_Oupper__semilattice__class_Osup(X0,c_Message_Oparts(c_Message_Osynth(X1)),tc_fun(tc_Message_Omsg,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(X1),c_Lattices_Oupper__semilattice__class_Osup(X0,c_Message_Osynth(X1),tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool)) ),
introduced(definition,[new_symbols(definition,[sQ237_spl])],[split_symbol_definition]) ).
fof(f7597,plain,
( sQ237_spl
| ~ sQ24_spl ),
inference(split_clause,[status(thm)],[f7559,f2057,f7594]) ).
fof(f7610,plain,
( ~ sQ229_spl
| $false ),
inference(resolution,[status(thm)],[f7408,f930]) ).
fof(f7623,plain,
~ sQ229_spl,
inference(contradiction_clause,[status(thm)],[f7610]) ).
fof(f7631,plain,
( ~ sQ227_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1224,f7401]) ).
fof(f7659,plain,
~ sQ227_spl,
inference(contradiction_clause,[status(thm)],[f7631]) ).
fof(f7675,plain,
( sQ223_spl
| c_lessequals(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_fun(tc_Message_Omsg,tc_bool))
| ~ class_Orderings_Olinorder(tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(resolution,[status(thm)],[f6945,f1170]) ).
fof(f7676,definition,
( sQ238_spl
<=> c_lessequals(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_fun(tc_Message_Omsg,tc_bool)) ),
introduced(definition,[new_symbols(definition,[sQ238_spl])],[split_symbol_definition]) ).
fof(f7679,plain,
( sQ223_spl
| sQ238_spl
| ~ sQ105_spl ),
inference(split_clause,[status(thm)],[f7675,f4978,f7676,f6943]) ).
fof(f7740,plain,
( ~ sQ230_spl
| $false ),
inference(resolution,[status(thm)],[f7413,f930]) ).
fof(f7765,plain,
~ sQ230_spl,
inference(contradiction_clause,[status(thm)],[f7740]) ).
fof(f7810,plain,
! [X0,X1] :
( hAPP(c_Lattices_Oupper__semilattice__class_Osup(X0,X1,tc_fun(t_a,tc_bool)),v_x) = c_Lattices_Oupper__semilattice__class_Osup(hAPP(X1,v_x),hAPP(X0,v_x),tc_bool)
| ~ class_Lattices_Olattice(tc_bool) ),
inference(paramodulation,[status(thm)],[f904,f638]) ).
fof(f7914,definition,
! [X0,X1] :
( sQ239_spl
<=> hAPP(c_Lattices_Oupper__semilattice__class_Osup(X0,X1,tc_fun(t_a,tc_bool)),v_x) = c_Lattices_Oupper__semilattice__class_Osup(hAPP(X1,v_x),hAPP(X0,v_x),tc_bool) ),
introduced(definition,[new_symbols(definition,[sQ239_spl])],[split_symbol_definition]) ).
fof(f7917,plain,
( sQ239_spl
| ~ sQ58_spl ),
inference(split_clause,[status(thm)],[f7810,f2846,f7914]) ).
fof(f8017,plain,
! [X0,X1] :
( hBOOL(hAPP(c_Message_Oanalz(c_Message_Oparts(X1)),X0))
| ~ hBOOL(c_in(X0,X1,tc_Message_Omsg)) ),
inference(resolution,[status(thm)],[f996,f1360]) ).
fof(f8028,plain,
! [X0,X1] :
( hBOOL(hAPP(c_Message_Oparts(X1),X0))
| ~ hBOOL(c_in(X0,X1,tc_Message_Omsg)) ),
inference(forward_demodulation,[status(thm)],[f1196,f8017]) ).
fof(f8040,plain,
( ~ sQ1_spl
| hBOOL(hAPP(c_Message_Oparts(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs))),hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,v_A)))) ),
inference(resolution,[status(thm)],[f8028,f1342]) ).
fof(f8043,plain,
! [X0,X1] : hBOOL(hAPP(c_Message_Oparts(c_Event_Oknows(X0,X1)),hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X0)))),
inference(resolution,[status(thm)],[f8028,f1297]) ).
fof(f8055,plain,
( ~ sQ1_spl
| hBOOL(hAPP(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,v_A)))) ),
inference(forward_demodulation,[status(thm)],[f1191,f8040]) ).
fof(f8161,plain,
! [X0] :
( ~ sQ38_spl
| X0 = hAPP(c_Public_OshrK,v_A)
| hBOOL(hAPP(c_Message_OkeysFor(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs))),hAPP(c_Public_OshrK,v_A))) ),
inference(resolution,[status(thm)],[f4392,f788]) ).
fof(f8162,definition,
! [X0] :
( sQ240_spl
<=> X0 = hAPP(c_Public_OshrK,v_A) ),
introduced(definition,[new_symbols(definition,[sQ240_spl])],[split_symbol_definition]) ).
fof(f8163,plain,
! [X0] :
( ~ sQ240_spl
| X0 = hAPP(c_Public_OshrK,v_A) ),
inference(component_clause,[status(thm)],[f8162]) ).
fof(f8165,plain,
( ~ sQ38_spl
| sQ240_spl
| sQ69_spl ),
inference(split_clause,[status(thm)],[f8161,f3332,f8162,f2511]) ).
fof(f8167,plain,
( ~ sQ240_spl
| $false ),
inference(resolution,[status(thm)],[f8163,f930]) ).
fof(f8237,plain,
~ sQ240_spl,
inference(contradiction_clause,[status(thm)],[f8167]) ).
fof(f8358,plain,
! [X0,X1] :
( hBOOL(hAPP(c_Message_Osynth(X1),X0))
| ~ hBOOL(c_in(X0,X1,tc_Message_Omsg)) ),
inference(resolution,[status(thm)],[f998,f1302]) ).
fof(f8375,plain,
! [X0,X1] : hBOOL(hAPP(c_Message_Osynth(c_Event_Oknows(X0,X1)),hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X0)))),
inference(resolution,[status(thm)],[f8358,f1297]) ).
fof(f8442,plain,
! [X0,X1] :
( ~ c_lessequals(X0,c_Event_Oused(c_List_Olist_ONil(tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool))
| c_lessequals(X0,c_Event_Oused(X1),tc_fun(tc_Message_Omsg,tc_bool))
| ~ class_Orderings_Oorder(tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(resolution,[status(thm)],[f1092,f762]) ).
fof(f8443,plain,
! [X0,X1,X2] :
( ~ c_lessequals(X2,c_Message_Osynth(X1),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(X0,c_Message_Osynth(X2),tc_fun(tc_Message_Omsg,tc_bool))
| c_lessequals(X0,c_Message_Osynth(X1),tc_fun(tc_Message_Omsg,tc_bool))
| ~ class_Orderings_Oorder(tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(resolution,[status(thm)],[f1092,f670]) ).
fof(f8444,plain,
! [X0,X1,X2] :
( ~ c_lessequals(X0,c_Event_OinitState(X1),tc_fun(tc_Message_Omsg,tc_bool))
| c_lessequals(X0,c_Event_Oknows(X1,X2),tc_fun(tc_Message_Omsg,tc_bool))
| ~ class_Orderings_Oorder(tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(resolution,[status(thm)],[f1092,f778]) ).
fof(f8446,plain,
! [X0,X1,X2] :
( ~ c_lessequals(X0,c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(X1),c_Message_Oparts(X2),tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool))
| c_lessequals(X0,c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(tc_Message_Omsg,tc_bool))),tc_fun(tc_Message_Omsg,tc_bool))
| ~ class_Orderings_Oorder(tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(resolution,[status(thm)],[f1092,f664]) ).
fof(f8447,plain,
! [X0,X1,X2] :
( ~ c_lessequals(X0,c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oanalz(X1),c_Message_Oanalz(X2),tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool))
| c_lessequals(X0,c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(tc_Message_Omsg,tc_bool))),tc_fun(tc_Message_Omsg,tc_bool))
| ~ class_Orderings_Oorder(tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(resolution,[status(thm)],[f1092,f648]) ).
fof(f8448,plain,
! [X0,X1,X2,X3] :
( ~ hBOOL(c_in(X3,c_Message_Osynth(c_Message_Oanalz(X1)),tc_Message_Omsg))
| ~ c_lessequals(X0,c_Message_Oanalz(c_Set_Oinsert(X3,X2,tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool))
| c_lessequals(X0,c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(c_Message_Oanalz(X1)),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(tc_Message_Omsg,tc_bool))),tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool))
| ~ class_Orderings_Oorder(tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(resolution,[status(thm)],[f1092,f680]) ).
fof(f8449,plain,
! [X0,X1] :
( ~ c_lessequals(X0,c_Message_Oanalz(X1),tc_fun(tc_Message_Omsg,tc_bool))
| c_lessequals(X0,c_Message_Oparts(X1),tc_fun(tc_Message_Omsg,tc_bool))
| ~ class_Orderings_Oorder(tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(resolution,[status(thm)],[f1092,f946]) ).
fof(f8453,plain,
! [X0,X1,X2] :
( ~ sQ26_spl
| ~ c_lessequals(X0,c_Message_Oparts(c_Event_OinitState(X2)),tc_fun(tc_Message_Omsg,tc_bool))
| c_lessequals(X0,c_Message_Oparts(c_Set_Oinsert(X1,c_Event_OinitState(X2),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool))
| ~ class_Orderings_Oorder(tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(resolution,[status(thm)],[f1092,f2281]) ).
fof(f8454,plain,
! [X0,X1] :
( ~ c_lessequals(X0,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_fun(tc_Message_Omsg,tc_bool))
| c_lessequals(X0,c_Event_Oused(X1),tc_fun(tc_Message_Omsg,tc_bool))
| ~ class_Orderings_Oorder(tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(resolution,[status(thm)],[f1092,f685]) ).
fof(f8455,plain,
! [X0,X1,X2,X3] :
( ~ sQ26_spl
| ~ c_lessequals(X0,c_Message_Oparts(c_Event_Oknows(X2,X3)),tc_fun(tc_Message_Omsg,tc_bool))
| c_lessequals(X0,c_Message_Oparts(c_Set_Oinsert(X1,c_Event_Oknows(X2,X3),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool))
| ~ class_Orderings_Oorder(tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(resolution,[status(thm)],[f1092,f2146]) ).
fof(f8456,plain,
! [X0,X1,X2] :
( ~ hBOOL(c_in(X2,c_Event_Oused(X1),tc_Message_Omsg))
| ~ c_lessequals(X0,c_Message_Oparts(c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool))
| c_lessequals(X0,c_Event_Oused(X1),tc_fun(tc_Message_Omsg,tc_bool))
| ~ class_Orderings_Oorder(tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(resolution,[status(thm)],[f1092,f608]) ).
fof(f8457,plain,
! [X0,X1,X2] :
( ~ hBOOL(c_in(X2,c_Message_Osynth(c_Message_Oanalz(X1)),tc_Message_Omsg))
| ~ c_lessequals(X0,c_Message_Oparts(c_Set_Oinsert(X2,X1,tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool))
| c_lessequals(X0,c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(c_Message_Oanalz(X1)),c_Message_Oparts(X1),tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool))
| ~ class_Orderings_Oorder(tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(resolution,[status(thm)],[f1092,f593]) ).
fof(f8458,plain,
! [X0,X1] :
( ~ sQ75_spl
| ~ c_lessequals(X0,c_Message_Oparts(X1),tc_fun(tc_Message_Omsg,tc_bool))
| c_lessequals(X0,c_Message_Oparts(c_Message_Osynth(X1)),tc_fun(tc_Message_Omsg,tc_bool))
| ~ class_Orderings_Oorder(tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(resolution,[status(thm)],[f1092,f3555]) ).
fof(f8459,plain,
! [X0,X1,X2] :
( ~ c_lessequals(X2,X1,tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(X0,c_Message_Oparts(X2),tc_fun(tc_Message_Omsg,tc_bool))
| c_lessequals(X0,c_Message_Oparts(X1),tc_fun(tc_Message_Omsg,tc_bool))
| ~ class_Orderings_Oorder(tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(resolution,[status(thm)],[f1092,f624]) ).
fof(f8460,plain,
! [X0,X1,X2] :
( ~ c_lessequals(X0,X2,tc_fun(tc_Message_Omsg,tc_bool))
| c_lessequals(X0,c_Message_Oanalz(c_Set_Oinsert(X1,X2,tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool))
| ~ class_Orderings_Oorder(tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(resolution,[status(thm)],[f1092,f2203]) ).
fof(f8461,plain,
! [X0,X1] :
( ~ c_lessequals(X0,X1,tc_fun(tc_Message_Omsg,tc_bool))
| c_lessequals(X0,c_Message_Oanalz(X1),tc_fun(tc_Message_Omsg,tc_bool))
| ~ class_Orderings_Oorder(tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(resolution,[status(thm)],[f1092,f1199]) ).
fof(f8462,plain,
! [X0,X1,X2] :
( ~ c_lessequals(X0,X2,tc_fun(tc_Message_Omsg,tc_bool))
| c_lessequals(X0,c_Message_Osynth(c_Set_Oinsert(X1,X2,tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool))
| ~ class_Orderings_Oorder(tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(resolution,[status(thm)],[f1092,f2199]) ).
fof(f8463,plain,
! [X0,X1] :
( ~ c_lessequals(X0,X1,tc_fun(tc_Message_Omsg,tc_bool))
| c_lessequals(X0,c_Message_Osynth(X1),tc_fun(tc_Message_Omsg,tc_bool))
| ~ class_Orderings_Oorder(tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(resolution,[status(thm)],[f1092,f1070]) ).
fof(f8464,plain,
! [X0,X1,X2] :
( ~ c_lessequals(X0,X2,tc_fun(tc_Message_Omsg,tc_bool))
| c_lessequals(X0,c_Message_Oparts(c_Set_Oinsert(X1,X2,tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool))
| ~ class_Orderings_Oorder(tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(resolution,[status(thm)],[f1092,f2168]) ).
fof(f8465,plain,
! [X0,X1] :
( ~ c_lessequals(X0,X1,tc_fun(tc_Message_Omsg,tc_bool))
| c_lessequals(X0,c_Message_Oparts(X1),tc_fun(tc_Message_Omsg,tc_bool))
| ~ class_Orderings_Oorder(tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(resolution,[status(thm)],[f1092,f830]) ).
fof(f8486,definition,
! [X0,X1] :
( sQ241_spl
<=> ( ~ c_lessequals(X0,c_Event_Oused(c_List_Olist_ONil(tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool))
| c_lessequals(X0,c_Event_Oused(X1),tc_fun(tc_Message_Omsg,tc_bool)) ) ),
introduced(definition,[new_symbols(definition,[sQ241_spl])],[split_symbol_definition]) ).
fof(f8489,plain,
( sQ241_spl
| ~ sQ78_spl ),
inference(split_clause,[status(thm)],[f8442,f3751,f8486]) ).
fof(f8490,definition,
! [X0,X1,X2] :
( sQ242_spl
<=> ( ~ c_lessequals(X2,c_Message_Osynth(X1),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(X0,c_Message_Osynth(X2),tc_fun(tc_Message_Omsg,tc_bool))
| c_lessequals(X0,c_Message_Osynth(X1),tc_fun(tc_Message_Omsg,tc_bool)) ) ),
introduced(definition,[new_symbols(definition,[sQ242_spl])],[split_symbol_definition]) ).
fof(f8493,plain,
( sQ242_spl
| ~ sQ78_spl ),
inference(split_clause,[status(thm)],[f8443,f3751,f8490]) ).
fof(f8494,definition,
! [X0,X1,X2] :
( sQ243_spl
<=> ( ~ c_lessequals(X0,c_Event_OinitState(X1),tc_fun(tc_Message_Omsg,tc_bool))
| c_lessequals(X0,c_Event_Oknows(X1,X2),tc_fun(tc_Message_Omsg,tc_bool)) ) ),
introduced(definition,[new_symbols(definition,[sQ243_spl])],[split_symbol_definition]) ).
fof(f8497,plain,
( sQ243_spl
| ~ sQ78_spl ),
inference(split_clause,[status(thm)],[f8444,f3751,f8494]) ).
fof(f8498,definition,
! [X0,X1,X2] :
( sQ244_spl
<=> ( ~ c_lessequals(X0,c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(X1),c_Message_Oparts(X2),tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool))
| c_lessequals(X0,c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(tc_Message_Omsg,tc_bool))),tc_fun(tc_Message_Omsg,tc_bool)) ) ),
introduced(definition,[new_symbols(definition,[sQ244_spl])],[split_symbol_definition]) ).
fof(f8501,plain,
( sQ244_spl
| ~ sQ78_spl ),
inference(split_clause,[status(thm)],[f8446,f3751,f8498]) ).
fof(f8502,definition,
! [X0,X1,X2] :
( sQ245_spl
<=> ( ~ c_lessequals(X0,c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oanalz(X1),c_Message_Oanalz(X2),tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool))
| c_lessequals(X0,c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(tc_Message_Omsg,tc_bool))),tc_fun(tc_Message_Omsg,tc_bool)) ) ),
introduced(definition,[new_symbols(definition,[sQ245_spl])],[split_symbol_definition]) ).
fof(f8505,plain,
( sQ245_spl
| ~ sQ78_spl ),
inference(split_clause,[status(thm)],[f8447,f3751,f8502]) ).
fof(f8506,definition,
! [X0,X1,X2,X3] :
( sQ246_spl
<=> ( ~ hBOOL(c_in(X3,c_Message_Osynth(c_Message_Oanalz(X1)),tc_Message_Omsg))
| ~ c_lessequals(X0,c_Message_Oanalz(c_Set_Oinsert(X3,X2,tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool))
| c_lessequals(X0,c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(c_Message_Oanalz(X1)),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(tc_Message_Omsg,tc_bool))),tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool)) ) ),
introduced(definition,[new_symbols(definition,[sQ246_spl])],[split_symbol_definition]) ).
fof(f8509,plain,
( sQ246_spl
| ~ sQ78_spl ),
inference(split_clause,[status(thm)],[f8448,f3751,f8506]) ).
fof(f8510,definition,
! [X0,X1] :
( sQ247_spl
<=> ( ~ c_lessequals(X0,c_Message_Oanalz(X1),tc_fun(tc_Message_Omsg,tc_bool))
| c_lessequals(X0,c_Message_Oparts(X1),tc_fun(tc_Message_Omsg,tc_bool)) ) ),
introduced(definition,[new_symbols(definition,[sQ247_spl])],[split_symbol_definition]) ).
fof(f8513,plain,
( sQ247_spl
| ~ sQ78_spl ),
inference(split_clause,[status(thm)],[f8449,f3751,f8510]) ).
fof(f8514,definition,
! [X0,X1,X2] :
( sQ248_spl
<=> ( ~ c_lessequals(X0,c_Message_Oparts(c_Event_OinitState(X2)),tc_fun(tc_Message_Omsg,tc_bool))
| c_lessequals(X0,c_Message_Oparts(c_Set_Oinsert(X1,c_Event_OinitState(X2),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)) ) ),
introduced(definition,[new_symbols(definition,[sQ248_spl])],[split_symbol_definition]) ).
fof(f8517,plain,
( ~ sQ26_spl
| sQ248_spl
| ~ sQ78_spl ),
inference(split_clause,[status(thm)],[f8453,f3751,f8514,f2145]) ).
fof(f8518,definition,
! [X0,X1] :
( sQ249_spl
<=> ( ~ c_lessequals(X0,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_fun(tc_Message_Omsg,tc_bool))
| c_lessequals(X0,c_Event_Oused(X1),tc_fun(tc_Message_Omsg,tc_bool)) ) ),
introduced(definition,[new_symbols(definition,[sQ249_spl])],[split_symbol_definition]) ).
fof(f8521,plain,
( sQ249_spl
| ~ sQ78_spl ),
inference(split_clause,[status(thm)],[f8454,f3751,f8518]) ).
fof(f8522,plain,
( ~ sQ26_spl
| sQ189_spl
| ~ sQ78_spl ),
inference(split_clause,[status(thm)],[f8455,f3751,f6123,f2145]) ).
fof(f8523,definition,
! [X0,X1,X2] :
( sQ250_spl
<=> ( ~ hBOOL(c_in(X2,c_Event_Oused(X1),tc_Message_Omsg))
| ~ c_lessequals(X0,c_Message_Oparts(c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool))
| c_lessequals(X0,c_Event_Oused(X1),tc_fun(tc_Message_Omsg,tc_bool)) ) ),
introduced(definition,[new_symbols(definition,[sQ250_spl])],[split_symbol_definition]) ).
fof(f8526,plain,
( sQ250_spl
| ~ sQ78_spl ),
inference(split_clause,[status(thm)],[f8456,f3751,f8523]) ).
fof(f8527,definition,
! [X0,X1,X2] :
( sQ251_spl
<=> ( ~ hBOOL(c_in(X2,c_Message_Osynth(c_Message_Oanalz(X1)),tc_Message_Omsg))
| ~ c_lessequals(X0,c_Message_Oparts(c_Set_Oinsert(X2,X1,tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool))
| c_lessequals(X0,c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(c_Message_Oanalz(X1)),c_Message_Oparts(X1),tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool)) ) ),
introduced(definition,[new_symbols(definition,[sQ251_spl])],[split_symbol_definition]) ).
fof(f8530,plain,
( sQ251_spl
| ~ sQ78_spl ),
inference(split_clause,[status(thm)],[f8457,f3751,f8527]) ).
fof(f8531,plain,
( ~ sQ75_spl
| sQ197_spl
| ~ sQ78_spl ),
inference(split_clause,[status(thm)],[f8458,f3751,f6174,f3554]) ).
fof(f8532,definition,
! [X0,X1,X2] :
( sQ252_spl
<=> ( ~ c_lessequals(X2,X1,tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(X0,c_Message_Oparts(X2),tc_fun(tc_Message_Omsg,tc_bool))
| c_lessequals(X0,c_Message_Oparts(X1),tc_fun(tc_Message_Omsg,tc_bool)) ) ),
introduced(definition,[new_symbols(definition,[sQ252_spl])],[split_symbol_definition]) ).
fof(f8535,plain,
( sQ252_spl
| ~ sQ78_spl ),
inference(split_clause,[status(thm)],[f8459,f3751,f8532]) ).
fof(f8536,definition,
! [X0,X1,X2] :
( sQ253_spl
<=> ( ~ c_lessequals(X0,X2,tc_fun(tc_Message_Omsg,tc_bool))
| c_lessequals(X0,c_Message_Oanalz(c_Set_Oinsert(X1,X2,tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)) ) ),
introduced(definition,[new_symbols(definition,[sQ253_spl])],[split_symbol_definition]) ).
fof(f8539,plain,
( sQ253_spl
| ~ sQ78_spl ),
inference(split_clause,[status(thm)],[f8460,f3751,f8536]) ).
fof(f8540,definition,
! [X0,X1] :
( sQ254_spl
<=> ( ~ c_lessequals(X0,X1,tc_fun(tc_Message_Omsg,tc_bool))
| c_lessequals(X0,c_Message_Oanalz(X1),tc_fun(tc_Message_Omsg,tc_bool)) ) ),
introduced(definition,[new_symbols(definition,[sQ254_spl])],[split_symbol_definition]) ).
fof(f8543,plain,
( sQ254_spl
| ~ sQ78_spl ),
inference(split_clause,[status(thm)],[f8461,f3751,f8540]) ).
fof(f8544,definition,
! [X0,X1,X2] :
( sQ255_spl
<=> ( ~ c_lessequals(X0,X2,tc_fun(tc_Message_Omsg,tc_bool))
| c_lessequals(X0,c_Message_Osynth(c_Set_Oinsert(X1,X2,tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)) ) ),
introduced(definition,[new_symbols(definition,[sQ255_spl])],[split_symbol_definition]) ).
fof(f8547,plain,
( sQ255_spl
| ~ sQ78_spl ),
inference(split_clause,[status(thm)],[f8462,f3751,f8544]) ).
fof(f8548,definition,
! [X0,X1] :
( sQ256_spl
<=> ( ~ c_lessequals(X0,X1,tc_fun(tc_Message_Omsg,tc_bool))
| c_lessequals(X0,c_Message_Osynth(X1),tc_fun(tc_Message_Omsg,tc_bool)) ) ),
introduced(definition,[new_symbols(definition,[sQ256_spl])],[split_symbol_definition]) ).
fof(f8551,plain,
( sQ256_spl
| ~ sQ78_spl ),
inference(split_clause,[status(thm)],[f8463,f3751,f8548]) ).
fof(f8552,definition,
! [X0,X1,X2] :
( sQ257_spl
<=> ( ~ c_lessequals(X0,X2,tc_fun(tc_Message_Omsg,tc_bool))
| c_lessequals(X0,c_Message_Oparts(c_Set_Oinsert(X1,X2,tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)) ) ),
introduced(definition,[new_symbols(definition,[sQ257_spl])],[split_symbol_definition]) ).
fof(f8555,plain,
( sQ257_spl
| ~ sQ78_spl ),
inference(split_clause,[status(thm)],[f8464,f3751,f8552]) ).
fof(f8556,definition,
! [X0,X1] :
( sQ258_spl
<=> ( ~ c_lessequals(X0,X1,tc_fun(tc_Message_Omsg,tc_bool))
| c_lessequals(X0,c_Message_Oparts(X1),tc_fun(tc_Message_Omsg,tc_bool)) ) ),
introduced(definition,[new_symbols(definition,[sQ258_spl])],[split_symbol_definition]) ).
fof(f8559,plain,
( sQ258_spl
| ~ sQ78_spl ),
inference(split_clause,[status(thm)],[f8465,f3751,f8556]) ).
fof(f8624,plain,
c_Message_Oanalz(c_List_Oset(c_List_Olist_ONil(tc_Message_Omsg),tc_Message_Omsg)) = c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),
inference(paramodulation,[status(thm)],[f634,f1195]) ).
fof(f8628,plain,
( ~ sQ87_spl
| ~ c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool))
| c_Message_Oanalz(c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool))) = c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(paramodulation,[status(thm)],[f1195,f3787]) ).
fof(f8668,definition,
( sQ259_spl
<=> c_Message_Oanalz(c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool))) = c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)) ),
introduced(definition,[new_symbols(definition,[sQ259_spl])],[split_symbol_definition]) ).
fof(f8671,plain,
( ~ sQ87_spl
| ~ sQ225_spl
| sQ259_spl ),
inference(split_clause,[status(thm)],[f8628,f8668,f7341,f3786]) ).
fof(f9037,plain,
! [X0,X1,X2] : hBOOL(hAPP(c_Set_Oinsert(X0,c_Set_Oinsert(X1,c_Set_Oinsert(X2,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)),tc_List_Olist(tc_Event_Oevent)),tc_List_Olist(tc_Event_Oevent)),v_evs)),
inference(paramodulation,[status(thm)],[f4045,f4397]) ).
fof(f9079,plain,
! [X0,X1] :
( ~ sQ75_spl
| ~ c_lessequals(X0,c_Message_Oparts(X1),tc_fun(tc_Message_Omsg,tc_bool))
| c_lessequals(X0,c_Message_Oparts(c_Message_Osynth(c_Message_Oanalz(X1))),tc_fun(tc_Message_Omsg,tc_bool))
| ~ class_Orderings_Oorder(tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(resolution,[status(thm)],[f4961,f1092]) ).
fof(f9080,plain,
! [X0] :
( ~ sQ75_spl
| ~ c_lessequals(c_Message_Oparts(c_Message_Osynth(c_Message_Oanalz(X0))),c_Message_Oparts(X0),tc_fun(tc_Message_Omsg,tc_bool))
| c_Message_Oparts(c_Message_Osynth(c_Message_Oanalz(X0))) = c_Message_Oparts(X0)
| ~ class_Orderings_Oorder(tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(resolution,[status(thm)],[f4961,f854]) ).
fof(f9090,definition,
! [X0,X1] :
( sQ260_spl
<=> ( ~ c_lessequals(X0,c_Message_Oparts(X1),tc_fun(tc_Message_Omsg,tc_bool))
| c_lessequals(X0,c_Message_Oparts(c_Message_Osynth(c_Message_Oanalz(X1))),tc_fun(tc_Message_Omsg,tc_bool)) ) ),
introduced(definition,[new_symbols(definition,[sQ260_spl])],[split_symbol_definition]) ).
fof(f9094,plain,
( ~ sQ75_spl
| sQ260_spl
| ~ sQ78_spl ),
inference(split_clause,[status(thm)],[f9079,f3751,f9090,f3554]) ).
fof(f9095,definition,
! [X0] :
( sQ261_spl
<=> ( ~ c_lessequals(c_Message_Oparts(c_Message_Osynth(c_Message_Oanalz(X0))),c_Message_Oparts(X0),tc_fun(tc_Message_Omsg,tc_bool))
| c_Message_Oparts(c_Message_Osynth(c_Message_Oanalz(X0))) = c_Message_Oparts(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ261_spl])],[split_symbol_definition]) ).
fof(f9098,plain,
( ~ sQ75_spl
| sQ261_spl
| ~ sQ78_spl ),
inference(split_clause,[status(thm)],[f9080,f3751,f9095,f3554]) ).
fof(f9106,plain,
! [X0,X1] :
( ~ sQ75_spl
| ~ c_lessequals(X0,c_Message_Oparts(X1),tc_fun(tc_Message_Omsg,tc_bool))
| c_lessequals(X0,c_Message_Oparts(c_Message_Osynth(c_Message_Oparts(X1))),tc_fun(tc_Message_Omsg,tc_bool))
| ~ class_Orderings_Oorder(tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(resolution,[status(thm)],[f4962,f1092]) ).
fof(f9107,plain,
! [X0] :
( ~ sQ75_spl
| ~ c_lessequals(c_Message_Oparts(c_Message_Osynth(c_Message_Oparts(X0))),c_Message_Oparts(X0),tc_fun(tc_Message_Omsg,tc_bool))
| c_Message_Oparts(c_Message_Osynth(c_Message_Oparts(X0))) = c_Message_Oparts(X0)
| ~ class_Orderings_Oorder(tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(resolution,[status(thm)],[f4962,f854]) ).
fof(f9114,definition,
! [X0,X1] :
( sQ262_spl
<=> ( ~ c_lessequals(X0,c_Message_Oparts(X1),tc_fun(tc_Message_Omsg,tc_bool))
| c_lessequals(X0,c_Message_Oparts(c_Message_Osynth(c_Message_Oparts(X1))),tc_fun(tc_Message_Omsg,tc_bool)) ) ),
introduced(definition,[new_symbols(definition,[sQ262_spl])],[split_symbol_definition]) ).
fof(f9118,plain,
( ~ sQ75_spl
| sQ262_spl
| ~ sQ78_spl ),
inference(split_clause,[status(thm)],[f9106,f3751,f9114,f3554]) ).
fof(f9119,definition,
! [X0] :
( sQ263_spl
<=> ( ~ c_lessequals(c_Message_Oparts(c_Message_Osynth(c_Message_Oparts(X0))),c_Message_Oparts(X0),tc_fun(tc_Message_Omsg,tc_bool))
| c_Message_Oparts(c_Message_Osynth(c_Message_Oparts(X0))) = c_Message_Oparts(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ263_spl])],[split_symbol_definition]) ).
fof(f9122,plain,
( ~ sQ75_spl
| sQ263_spl
| ~ sQ78_spl ),
inference(split_clause,[status(thm)],[f9107,f3751,f9119,f3554]) ).
fof(f9163,plain,
! [X0,X1,X2,X3,X4] :
( ~ c_lessequals(c_Message_Oparts(c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),X4,tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(c_Event_Oused(X3),X4,tc_fun(tc_Message_Omsg,tc_bool))
| c_lessequals(c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_OSays(X0,X1,X2),X3,tc_Event_Oevent)),X4,tc_fun(tc_Message_Omsg,tc_bool))
| ~ class_Lattices_Oupper__semilattice(tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(paramodulation,[status(thm)],[f672,f707]) ).
fof(f9164,plain,
! [X0,X1,X2,X3] :
( ~ c_lessequals(c_Message_Oparts(c_Set_Oinsert(X0,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),X3,tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(c_Message_Oparts(c_Event_Oknows(X1,X2)),X3,tc_fun(tc_Message_Omsg,tc_bool))
| c_lessequals(c_Message_Oparts(c_Set_Oinsert(X0,c_Event_Oknows(X1,X2),tc_Message_Omsg)),X3,tc_fun(tc_Message_Omsg,tc_bool))
| ~ class_Lattices_Oupper__semilattice(tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(paramodulation,[status(thm)],[f845,f707]) ).
fof(f9165,plain,
! [X0,X1] :
( ~ c_lessequals(c_Message_Oparts(X0),X1,tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(c_Message_Osynth(X0),X1,tc_fun(tc_Message_Omsg,tc_bool))
| c_lessequals(c_Message_Oparts(c_Message_Osynth(X0)),X1,tc_fun(tc_Message_Omsg,tc_bool))
| ~ class_Lattices_Oupper__semilattice(tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(paramodulation,[status(thm)],[f653,f707]) ).
fof(f9174,definition,
! [X0,X1,X2,X3,X4] :
( sQ264_spl
<=> ( ~ c_lessequals(c_Message_Oparts(c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),X4,tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(c_Event_Oused(X3),X4,tc_fun(tc_Message_Omsg,tc_bool))
| c_lessequals(c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_OSays(X0,X1,X2),X3,tc_Event_Oevent)),X4,tc_fun(tc_Message_Omsg,tc_bool)) ) ),
introduced(definition,[new_symbols(definition,[sQ264_spl])],[split_symbol_definition]) ).
fof(f9177,plain,
( sQ264_spl
| ~ sQ24_spl ),
inference(split_clause,[status(thm)],[f9163,f2057,f9174]) ).
fof(f9178,definition,
! [X0,X1,X2,X3] :
( sQ265_spl
<=> ( ~ c_lessequals(c_Message_Oparts(c_Set_Oinsert(X0,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),X3,tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(c_Message_Oparts(c_Event_Oknows(X1,X2)),X3,tc_fun(tc_Message_Omsg,tc_bool))
| c_lessequals(c_Message_Oparts(c_Set_Oinsert(X0,c_Event_Oknows(X1,X2),tc_Message_Omsg)),X3,tc_fun(tc_Message_Omsg,tc_bool)) ) ),
introduced(definition,[new_symbols(definition,[sQ265_spl])],[split_symbol_definition]) ).
fof(f9181,plain,
( sQ265_spl
| ~ sQ24_spl ),
inference(split_clause,[status(thm)],[f9164,f2057,f9178]) ).
fof(f9182,definition,
! [X0,X1] :
( sQ266_spl
<=> ( ~ c_lessequals(c_Message_Oparts(X0),X1,tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(c_Message_Osynth(X0),X1,tc_fun(tc_Message_Omsg,tc_bool))
| c_lessequals(c_Message_Oparts(c_Message_Osynth(X0)),X1,tc_fun(tc_Message_Omsg,tc_bool)) ) ),
introduced(definition,[new_symbols(definition,[sQ266_spl])],[split_symbol_definition]) ).
fof(f9185,plain,
( sQ266_spl
| ~ sQ24_spl ),
inference(split_clause,[status(thm)],[f9165,f2057,f9182]) ).
fof(f9260,plain,
! [X0,X1] :
( hBOOL(c_in(X1,c_Event_Obad,tc_Message_Oagent))
| hBOOL(hAPP(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X0)),hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,c_Message_Oagent_OSpy)))) ),
inference(paramodulation,[status(thm)],[f1275,f8043]) ).
fof(f9262,definition,
! [X0] :
( sQ268_spl
<=> hBOOL(hAPP(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X0)),hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,c_Message_Oagent_OSpy)))) ),
introduced(definition,[new_symbols(definition,[sQ268_spl])],[split_symbol_definition]) ).
fof(f9265,plain,
( sQ7_spl
| sQ268_spl ),
inference(split_clause,[status(thm)],[f9260,f9262,f1551]) ).
fof(f9267,plain,
! [X0,X1,X2] :
( ~ c_lessequals(X2,c_Message_Oparts(c_Set_Oinsert(X0,c_Message_Oanalz(X1),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool))
| c_lessequals(X2,c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(c_Message_Oanalz(X1)),c_Message_Oparts(X1),tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool))
| ~ class_Orderings_Oorder(tc_fun(tc_Message_Omsg,tc_bool))
| ~ hBOOL(c_in(X0,c_Message_Osynth(c_Message_Oanalz(X1)),tc_Message_Omsg)) ),
inference(resolution,[status(thm)],[f1777,f1092]) ).
fof(f9268,plain,
! [X0,X1] :
( ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(c_Message_Oanalz(X1)),c_Message_Oparts(X1),tc_fun(tc_Message_Omsg,tc_bool)),c_Message_Oparts(c_Set_Oinsert(X0,c_Message_Oanalz(X1),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool))
| c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(c_Message_Oanalz(X1)),c_Message_Oparts(X1),tc_fun(tc_Message_Omsg,tc_bool)) = c_Message_Oparts(c_Set_Oinsert(X0,c_Message_Oanalz(X1),tc_Message_Omsg))
| ~ class_Orderings_Oorder(tc_fun(tc_Message_Omsg,tc_bool))
| ~ hBOOL(c_in(X0,c_Message_Osynth(c_Message_Oanalz(X1)),tc_Message_Omsg)) ),
inference(resolution,[status(thm)],[f1777,f854]) ).
fof(f9288,definition,
! [X0,X1,X2] :
( sQ269_spl
<=> ( ~ c_lessequals(X2,c_Message_Oparts(c_Set_Oinsert(X0,c_Message_Oanalz(X1),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool))
| c_lessequals(X2,c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(c_Message_Oanalz(X1)),c_Message_Oparts(X1),tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool))
| ~ hBOOL(c_in(X0,c_Message_Osynth(c_Message_Oanalz(X1)),tc_Message_Omsg)) ) ),
introduced(definition,[new_symbols(definition,[sQ269_spl])],[split_symbol_definition]) ).
fof(f9292,plain,
( ~ sQ78_spl
| sQ269_spl ),
inference(split_clause,[status(thm)],[f9267,f9288,f3751]) ).
fof(f9293,definition,
! [X0,X1] :
( sQ270_spl
<=> ( ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(c_Message_Oanalz(X1)),c_Message_Oparts(X1),tc_fun(tc_Message_Omsg,tc_bool)),c_Message_Oparts(c_Set_Oinsert(X0,c_Message_Oanalz(X1),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool))
| c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(c_Message_Oanalz(X1)),c_Message_Oparts(X1),tc_fun(tc_Message_Omsg,tc_bool)) = c_Message_Oparts(c_Set_Oinsert(X0,c_Message_Oanalz(X1),tc_Message_Omsg))
| ~ hBOOL(c_in(X0,c_Message_Osynth(c_Message_Oanalz(X1)),tc_Message_Omsg)) ) ),
introduced(definition,[new_symbols(definition,[sQ270_spl])],[split_symbol_definition]) ).
fof(f9296,plain,
( ~ sQ78_spl
| sQ270_spl ),
inference(split_clause,[status(thm)],[f9268,f9293,f3751]) ).
fof(f9346,plain,
( ~ sQ89_spl
| ~ c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),c_List_Oset(c_List_Olist_ONil(tc_Message_Omsg),tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool))
| c_Message_Oparts(c_List_Oset(c_List_Olist_ONil(tc_Message_Omsg),tc_Message_Omsg)) = c_List_Oset(c_List_Olist_ONil(tc_Message_Omsg),tc_Message_Omsg) ),
inference(paramodulation,[status(thm)],[f7316,f3795]) ).
fof(f9367,definition,
( sQ272_spl
<=> c_Message_Oparts(c_List_Oset(c_List_Olist_ONil(tc_Message_Omsg),tc_Message_Omsg)) = c_List_Oset(c_List_Olist_ONil(tc_Message_Omsg),tc_Message_Omsg) ),
introduced(definition,[new_symbols(definition,[sQ272_spl])],[split_symbol_definition]) ).
fof(f9370,definition,
( sQ273_spl
<=> c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),c_List_Oset(c_List_Olist_ONil(tc_Message_Omsg),tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool)) ),
introduced(definition,[new_symbols(definition,[sQ273_spl])],[split_symbol_definition]) ).
fof(f9372,plain,
( sQ273_spl
| ~ c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),c_List_Oset(c_List_Olist_ONil(tc_Message_Omsg),tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(component_clause,[status(thm)],[f9370]) ).
fof(f9373,plain,
( ~ sQ89_spl
| ~ sQ273_spl
| sQ272_spl ),
inference(split_clause,[status(thm)],[f9346,f9367,f9370,f3794]) ).
fof(f9426,plain,
( ~ sQ87_spl
| ~ c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),c_List_Oset(c_List_Olist_ONil(tc_Message_Omsg),tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool))
| c_Message_Oanalz(c_List_Oset(c_List_Olist_ONil(tc_Message_Omsg),tc_Message_Omsg)) = c_List_Oset(c_List_Olist_ONil(tc_Message_Omsg),tc_Message_Omsg) ),
inference(paramodulation,[status(thm)],[f8624,f3787]) ).
fof(f9477,definition,
( sQ274_spl
<=> c_Message_Oanalz(c_List_Oset(c_List_Olist_ONil(tc_Message_Omsg),tc_Message_Omsg)) = c_List_Oset(c_List_Olist_ONil(tc_Message_Omsg),tc_Message_Omsg) ),
introduced(definition,[new_symbols(definition,[sQ274_spl])],[split_symbol_definition]) ).
fof(f9480,plain,
( ~ sQ87_spl
| ~ sQ273_spl
| sQ274_spl ),
inference(split_clause,[status(thm)],[f9426,f9477,f9370,f3786]) ).
fof(f9530,plain,
( sQ273_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f9372,f775]) ).
fof(f9531,plain,
sQ273_spl,
inference(contradiction_clause,[status(thm)],[f9530]) ).
fof(f9620,plain,
! [X0] : c_lessequals(c_Message_Oanalz(X0),c_Message_Oanalz(c_Message_Osynth(X0)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(paramodulation,[status(thm)],[f921,f703]) ).
fof(f9622,plain,
! [X0,X1] :
( ~ c_lessequals(c_Message_Oanalz(X0),X1,tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(c_Message_Osynth(X0),X1,tc_fun(tc_Message_Omsg,tc_bool))
| c_lessequals(c_Message_Oanalz(c_Message_Osynth(X0)),X1,tc_fun(tc_Message_Omsg,tc_bool))
| ~ class_Lattices_Oupper__semilattice(tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(paramodulation,[status(thm)],[f921,f707]) ).
fof(f9626,plain,
! [X0,X1] :
( c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oanalz(X0),c_Lattices_Oupper__semilattice__class_Osup(X1,c_Message_Osynth(X0),tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(X1,c_Message_Oanalz(c_Message_Osynth(X0)),tc_fun(tc_Message_Omsg,tc_bool))
| ~ class_Lattices_Oupper__semilattice(tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(paramodulation,[status(thm)],[f921,f693]) ).
fof(f9628,plain,
! [X0,X1] :
( c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oanalz(c_Message_Osynth(X0)),X1,tc_fun(tc_Message_Omsg,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oanalz(X0),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(X0),X1,tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool))
| ~ class_Lattices_Oupper__semilattice(tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(paramodulation,[status(thm)],[f921,f691]) ).
fof(f9629,plain,
! [X0,X1] :
( ~ c_lessequals(X0,c_Message_Oanalz(X1),tc_fun(tc_Message_Omsg,tc_bool))
| c_lessequals(X0,c_Message_Oanalz(c_Message_Osynth(X1)),tc_fun(tc_Message_Omsg,tc_bool))
| ~ class_Lattices_Oupper__semilattice(tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(paramodulation,[status(thm)],[f921,f1082]) ).
fof(f9630,plain,
! [X0,X1] :
( ~ c_lessequals(X0,c_Message_Osynth(X1),tc_fun(tc_Message_Omsg,tc_bool))
| c_lessequals(X0,c_Message_Oanalz(c_Message_Osynth(X1)),tc_fun(tc_Message_Omsg,tc_bool))
| ~ class_Lattices_Oupper__semilattice(tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(paramodulation,[status(thm)],[f921,f1080]) ).
fof(f9631,plain,
! [X0,X1] :
( c_lessequals(c_Message_Oanalz(X0),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oanalz(c_Message_Osynth(X0)),X1,tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool))
| ~ class_Lattices_Oupper__semilattice(tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(paramodulation,[status(thm)],[f921,f5542]) ).
fof(f9632,plain,
! [X0,X1] :
( c_lessequals(c_Message_Oanalz(X0),c_Lattices_Oupper__semilattice__class_Osup(X1,c_Message_Oanalz(c_Message_Osynth(X0)),tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool))
| ~ class_Lattices_Oupper__semilattice(tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(paramodulation,[status(thm)],[f921,f5541]) ).
fof(f9633,plain,
! [X0,X1] :
( ~ c_lessequals(c_Message_Oanalz(c_Message_Osynth(X0)),X1,tc_fun(tc_Message_Omsg,tc_bool))
| c_lessequals(c_Message_Oanalz(X0),X1,tc_fun(tc_Message_Omsg,tc_bool))
| ~ class_Lattices_Oupper__semilattice(tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(paramodulation,[status(thm)],[f921,f1078]) ).
fof(f9634,plain,
! [X0,X1] :
( c_lessequals(c_Message_Osynth(X0),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oanalz(c_Message_Osynth(X0)),X1,tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool))
| ~ class_Lattices_Oupper__semilattice(tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(paramodulation,[status(thm)],[f921,f5401]) ).
fof(f9635,plain,
! [X0,X1] :
( c_lessequals(c_Message_Osynth(X0),c_Lattices_Oupper__semilattice__class_Osup(X1,c_Message_Oanalz(c_Message_Osynth(X0)),tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool))
| ~ class_Lattices_Oupper__semilattice(tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(paramodulation,[status(thm)],[f921,f5400]) ).
fof(f9636,plain,
! [X0,X1] :
( ~ c_lessequals(c_Message_Oanalz(c_Message_Osynth(X0)),X1,tc_fun(tc_Message_Omsg,tc_bool))
| c_lessequals(c_Message_Osynth(X0),X1,tc_fun(tc_Message_Omsg,tc_bool))
| ~ class_Lattices_Oupper__semilattice(tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(paramodulation,[status(thm)],[f921,f1076]) ).
fof(f9638,plain,
! [X0] :
( c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oanalz(X0),c_Message_Oanalz(c_Message_Osynth(X0)),tc_fun(tc_Message_Omsg,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oanalz(X0),c_Message_Osynth(X0),tc_fun(tc_Message_Omsg,tc_bool))
| ~ class_Lattices_Oupper__semilattice(tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(paramodulation,[status(thm)],[f921,f914]) ).
fof(f9639,plain,
! [X0] :
( c_Message_Osynth(X0) = c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool))
| c_Message_Oanalz(c_Message_Osynth(X0)) != c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool))
| ~ class_Lattices_Obounded__lattice(tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(paramodulation,[status(thm)],[f921,f895]) ).
fof(f9640,plain,
! [X0] :
( c_Message_Oanalz(X0) = c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool))
| c_Message_Oanalz(c_Message_Osynth(X0)) != c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool))
| ~ class_Lattices_Obounded__lattice(tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(paramodulation,[status(thm)],[f921,f893]) ).
fof(f9641,plain,
! [X0] :
( ~ c_lessequals(c_Message_Oanalz(X0),c_Message_Osynth(X0),tc_fun(tc_Message_Omsg,tc_bool))
| c_Message_Oanalz(c_Message_Osynth(X0)) = c_Message_Osynth(X0)
| ~ class_Lattices_Oupper__semilattice(tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(paramodulation,[status(thm)],[f921,f863]) ).
fof(f9642,plain,
! [X0] :
( c_lessequals(c_Message_Oanalz(X0),c_Message_Osynth(X0),tc_fun(tc_Message_Omsg,tc_bool))
| c_Message_Oanalz(c_Message_Osynth(X0)) != c_Message_Osynth(X0)
| ~ class_Lattices_Oupper__semilattice(tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(paramodulation,[status(thm)],[f921,f862]) ).
fof(f9643,plain,
! [X0] :
( ~ c_lessequals(c_Message_Osynth(X0),c_Message_Oanalz(X0),tc_fun(tc_Message_Omsg,tc_bool))
| c_Message_Oanalz(c_Message_Osynth(X0)) = c_Message_Oanalz(X0)
| ~ class_Lattices_Oupper__semilattice(tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(paramodulation,[status(thm)],[f921,f861]) ).
fof(f9646,plain,
! [X0] :
( c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(X0),c_Message_Oanalz(X0),tc_fun(tc_Message_Omsg,tc_bool)) = c_Message_Oanalz(c_Message_Osynth(X0))
| ~ class_Lattices_Oupper__semilattice(tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(paramodulation,[status(thm)],[f921,f906]) ).
fof(f9650,plain,
! [X0] :
( c_lessequals(c_Message_Osynth(X0),c_Message_Oanalz(c_Message_Osynth(X0)),tc_fun(tc_Message_Omsg,tc_bool))
| ~ class_Lattices_Oupper__semilattice(tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(paramodulation,[status(thm)],[f921,f711]) ).
fof(f9651,plain,
! [X0] :
( c_lessequals(c_Message_Oanalz(X0),c_Message_Oanalz(c_Message_Osynth(X0)),tc_fun(tc_Message_Omsg,tc_bool))
| ~ class_Lattices_Oupper__semilattice(tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(paramodulation,[status(thm)],[f921,f709]) ).
fof(f9663,definition,
! [X0,X1] :
( sQ275_spl
<=> ( ~ c_lessequals(c_Message_Oanalz(X0),X1,tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(c_Message_Osynth(X0),X1,tc_fun(tc_Message_Omsg,tc_bool))
| c_lessequals(c_Message_Oanalz(c_Message_Osynth(X0)),X1,tc_fun(tc_Message_Omsg,tc_bool)) ) ),
introduced(definition,[new_symbols(definition,[sQ275_spl])],[split_symbol_definition]) ).
fof(f9666,plain,
( sQ275_spl
| ~ sQ24_spl ),
inference(split_clause,[status(thm)],[f9622,f2057,f9663]) ).
fof(f9667,definition,
! [X0,X1] :
( sQ276_spl
<=> c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oanalz(c_Message_Osynth(X0)),X1,tc_fun(tc_Message_Omsg,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oanalz(X0),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(X0),X1,tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool)) ),
introduced(definition,[new_symbols(definition,[sQ276_spl])],[split_symbol_definition]) ).
fof(f9671,definition,
! [X0,X1] :
( sQ277_spl
<=> c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oanalz(X0),c_Lattices_Oupper__semilattice__class_Osup(X1,c_Message_Osynth(X0),tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(X1,c_Message_Oanalz(c_Message_Osynth(X0)),tc_fun(tc_Message_Omsg,tc_bool)) ),
introduced(definition,[new_symbols(definition,[sQ277_spl])],[split_symbol_definition]) ).
fof(f9676,plain,
( sQ277_spl
| ~ sQ24_spl ),
inference(split_clause,[status(thm)],[f9626,f2057,f9671]) ).
fof(f9678,plain,
( sQ276_spl
| ~ sQ24_spl ),
inference(split_clause,[status(thm)],[f9628,f2057,f9667]) ).
fof(f9679,definition,
! [X0,X1] :
( sQ278_spl
<=> ( ~ c_lessequals(X0,c_Message_Oanalz(X1),tc_fun(tc_Message_Omsg,tc_bool))
| c_lessequals(X0,c_Message_Oanalz(c_Message_Osynth(X1)),tc_fun(tc_Message_Omsg,tc_bool)) ) ),
introduced(definition,[new_symbols(definition,[sQ278_spl])],[split_symbol_definition]) ).
fof(f9682,plain,
( sQ278_spl
| ~ sQ24_spl ),
inference(split_clause,[status(thm)],[f9629,f2057,f9679]) ).
fof(f9683,definition,
! [X0,X1] :
( sQ279_spl
<=> ( ~ c_lessequals(X0,c_Message_Osynth(X1),tc_fun(tc_Message_Omsg,tc_bool))
| c_lessequals(X0,c_Message_Oanalz(c_Message_Osynth(X1)),tc_fun(tc_Message_Omsg,tc_bool)) ) ),
introduced(definition,[new_symbols(definition,[sQ279_spl])],[split_symbol_definition]) ).
fof(f9686,plain,
( sQ279_spl
| ~ sQ24_spl ),
inference(split_clause,[status(thm)],[f9630,f2057,f9683]) ).
fof(f9687,definition,
! [X0,X1] :
( sQ280_spl
<=> c_lessequals(c_Message_Oanalz(X0),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oanalz(c_Message_Osynth(X0)),X1,tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool)) ),
introduced(definition,[new_symbols(definition,[sQ280_spl])],[split_symbol_definition]) ).
fof(f9690,plain,
( sQ280_spl
| ~ sQ24_spl ),
inference(split_clause,[status(thm)],[f9631,f2057,f9687]) ).
fof(f9691,definition,
! [X0,X1] :
( sQ281_spl
<=> c_lessequals(c_Message_Oanalz(X0),c_Lattices_Oupper__semilattice__class_Osup(X1,c_Message_Oanalz(c_Message_Osynth(X0)),tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool)) ),
introduced(definition,[new_symbols(definition,[sQ281_spl])],[split_symbol_definition]) ).
fof(f9694,plain,
( sQ281_spl
| ~ sQ24_spl ),
inference(split_clause,[status(thm)],[f9632,f2057,f9691]) ).
fof(f9695,definition,
! [X0,X1] :
( sQ282_spl
<=> ( ~ c_lessequals(c_Message_Oanalz(c_Message_Osynth(X0)),X1,tc_fun(tc_Message_Omsg,tc_bool))
| c_lessequals(c_Message_Oanalz(X0),X1,tc_fun(tc_Message_Omsg,tc_bool)) ) ),
introduced(definition,[new_symbols(definition,[sQ282_spl])],[split_symbol_definition]) ).
fof(f9698,plain,
( sQ282_spl
| ~ sQ24_spl ),
inference(split_clause,[status(thm)],[f9633,f2057,f9695]) ).
fof(f9699,definition,
! [X0,X1] :
( sQ283_spl
<=> c_lessequals(c_Message_Osynth(X0),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oanalz(c_Message_Osynth(X0)),X1,tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool)) ),
introduced(definition,[new_symbols(definition,[sQ283_spl])],[split_symbol_definition]) ).
fof(f9702,plain,
( sQ283_spl
| ~ sQ24_spl ),
inference(split_clause,[status(thm)],[f9634,f2057,f9699]) ).
fof(f9703,definition,
! [X0,X1] :
( sQ284_spl
<=> c_lessequals(c_Message_Osynth(X0),c_Lattices_Oupper__semilattice__class_Osup(X1,c_Message_Oanalz(c_Message_Osynth(X0)),tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool)) ),
introduced(definition,[new_symbols(definition,[sQ284_spl])],[split_symbol_definition]) ).
fof(f9706,plain,
( sQ284_spl
| ~ sQ24_spl ),
inference(split_clause,[status(thm)],[f9635,f2057,f9703]) ).
fof(f9707,definition,
! [X0,X1] :
( sQ285_spl
<=> ( ~ c_lessequals(c_Message_Oanalz(c_Message_Osynth(X0)),X1,tc_fun(tc_Message_Omsg,tc_bool))
| c_lessequals(c_Message_Osynth(X0),X1,tc_fun(tc_Message_Omsg,tc_bool)) ) ),
introduced(definition,[new_symbols(definition,[sQ285_spl])],[split_symbol_definition]) ).
fof(f9710,plain,
( sQ285_spl
| ~ sQ24_spl ),
inference(split_clause,[status(thm)],[f9636,f2057,f9707]) ).
fof(f9711,definition,
! [X0] :
( sQ286_spl
<=> c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oanalz(X0),c_Message_Oanalz(c_Message_Osynth(X0)),tc_fun(tc_Message_Omsg,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oanalz(X0),c_Message_Osynth(X0),tc_fun(tc_Message_Omsg,tc_bool)) ),
introduced(definition,[new_symbols(definition,[sQ286_spl])],[split_symbol_definition]) ).
fof(f9715,plain,
( sQ286_spl
| ~ sQ24_spl ),
inference(split_clause,[status(thm)],[f9638,f2057,f9711]) ).
fof(f9716,definition,
! [X0] :
( sQ287_spl
<=> ( c_Message_Osynth(X0) = c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool))
| c_Message_Oanalz(c_Message_Osynth(X0)) != c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)) ) ),
introduced(definition,[new_symbols(definition,[sQ287_spl])],[split_symbol_definition]) ).
fof(f9719,plain,
( sQ287_spl
| ~ sQ90_spl ),
inference(split_clause,[status(thm)],[f9639,f3810,f9716]) ).
fof(f9720,definition,
! [X0] :
( sQ288_spl
<=> ( c_Message_Oanalz(X0) = c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool))
| c_Message_Oanalz(c_Message_Osynth(X0)) != c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)) ) ),
introduced(definition,[new_symbols(definition,[sQ288_spl])],[split_symbol_definition]) ).
fof(f9723,plain,
( sQ288_spl
| ~ sQ90_spl ),
inference(split_clause,[status(thm)],[f9640,f3810,f9720]) ).
fof(f9724,definition,
! [X0] :
( sQ289_spl
<=> ( ~ c_lessequals(c_Message_Oanalz(X0),c_Message_Osynth(X0),tc_fun(tc_Message_Omsg,tc_bool))
| c_Message_Oanalz(c_Message_Osynth(X0)) = c_Message_Osynth(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ289_spl])],[split_symbol_definition]) ).
fof(f9727,plain,
( sQ289_spl
| ~ sQ24_spl ),
inference(split_clause,[status(thm)],[f9641,f2057,f9724]) ).
fof(f9728,definition,
! [X0] :
( sQ290_spl
<=> ( c_lessequals(c_Message_Oanalz(X0),c_Message_Osynth(X0),tc_fun(tc_Message_Omsg,tc_bool))
| c_Message_Oanalz(c_Message_Osynth(X0)) != c_Message_Osynth(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ290_spl])],[split_symbol_definition]) ).
fof(f9731,plain,
( sQ290_spl
| ~ sQ24_spl ),
inference(split_clause,[status(thm)],[f9642,f2057,f9728]) ).
fof(f9732,definition,
! [X0] :
( sQ291_spl
<=> ( ~ c_lessequals(c_Message_Osynth(X0),c_Message_Oanalz(X0),tc_fun(tc_Message_Omsg,tc_bool))
| c_Message_Oanalz(c_Message_Osynth(X0)) = c_Message_Oanalz(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ291_spl])],[split_symbol_definition]) ).
fof(f9735,plain,
( sQ291_spl
| ~ sQ24_spl ),
inference(split_clause,[status(thm)],[f9643,f2057,f9732]) ).
fof(f9736,definition,
! [X0] :
( sQ292_spl
<=> c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(X0),c_Message_Oanalz(X0),tc_fun(tc_Message_Omsg,tc_bool)) = c_Message_Oanalz(c_Message_Osynth(X0)) ),
introduced(definition,[new_symbols(definition,[sQ292_spl])],[split_symbol_definition]) ).
fof(f9741,plain,
( sQ292_spl
| ~ sQ24_spl ),
inference(split_clause,[status(thm)],[f9646,f2057,f9736]) ).
fof(f9743,definition,
! [X0] :
( sQ293_spl
<=> c_lessequals(c_Message_Oanalz(X0),c_Message_Oanalz(c_Message_Osynth(X0)),tc_fun(tc_Message_Omsg,tc_bool)) ),
introduced(definition,[new_symbols(definition,[sQ293_spl])],[split_symbol_definition]) ).
fof(f9747,definition,
! [X0] :
( sQ294_spl
<=> c_lessequals(c_Message_Osynth(X0),c_Message_Oanalz(c_Message_Osynth(X0)),tc_fun(tc_Message_Omsg,tc_bool)) ),
introduced(definition,[new_symbols(definition,[sQ294_spl])],[split_symbol_definition]) ).
fof(f9751,plain,
( sQ294_spl
| ~ sQ24_spl ),
inference(split_clause,[status(thm)],[f9650,f2057,f9747]) ).
fof(f9752,plain,
( sQ293_spl
| ~ sQ24_spl ),
inference(split_clause,[status(thm)],[f9651,f2057,f9743]) ).
fof(f9821,plain,
! [X0,X1,X2] :
( X2 = v_evs
| hBOOL(hAPP(c_Set_Oinsert(X0,c_Set_Oinsert(X1,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)),tc_List_Olist(tc_Event_Oevent)),v_evs)) ),
inference(resolution,[status(thm)],[f9037,f788]) ).
fof(f9831,definition,
! [X0,X1] :
( sQ295_spl
<=> hBOOL(hAPP(c_Set_Oinsert(X0,c_Set_Oinsert(X1,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)),tc_List_Olist(tc_Event_Oevent)),v_evs)) ),
introduced(definition,[new_symbols(definition,[sQ295_spl])],[split_symbol_definition]) ).
fof(f9834,plain,
( sQ229_spl
| sQ295_spl ),
inference(split_clause,[status(thm)],[f9821,f9831,f7407]) ).
fof(f9839,plain,
! [X0,X1] :
( hBOOL(c_in(X1,c_Event_Obad,tc_Message_Oagent))
| hBOOL(hAPP(c_Message_Osynth(c_Event_Oknows(c_Message_Oagent_OSpy,X0)),hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,c_Message_Oagent_OSpy)))) ),
inference(paramodulation,[status(thm)],[f1275,f8375]) ).
fof(f9841,definition,
! [X0] :
( sQ296_spl
<=> hBOOL(hAPP(c_Message_Osynth(c_Event_Oknows(c_Message_Oagent_OSpy,X0)),hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,c_Message_Oagent_OSpy)))) ),
introduced(definition,[new_symbols(definition,[sQ296_spl])],[split_symbol_definition]) ).
fof(f9844,plain,
( sQ7_spl
| sQ296_spl ),
inference(split_clause,[status(thm)],[f9839,f9841,f1551]) ).
fof(f9875,plain,
! [X0] :
( hBOOL(hAPP(c_Message_Oparts(c_Event_OinitState(c_Message_Oagent_OSpy)),hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X0))))
| ~ hBOOL(c_in(c_List_Olist_ONil(tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
| ~ hBOOL(c_in(X0,c_Event_Obad,tc_Message_Oagent)) ),
inference(paramodulation,[status(thm)],[f1073,f1798]) ).
fof(f9876,definition,
! [X0] :
( sQ297_spl
<=> ( hBOOL(hAPP(c_Message_Oparts(c_Event_OinitState(c_Message_Oagent_OSpy)),hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X0))))
| ~ hBOOL(c_in(X0,c_Event_Obad,tc_Message_Oagent)) ) ),
introduced(definition,[new_symbols(definition,[sQ297_spl])],[split_symbol_definition]) ).
fof(f9879,plain,
( ~ sQ22_spl
| sQ297_spl ),
inference(split_clause,[status(thm)],[f9875,f9876,f2031]) ).
fof(f9902,plain,
! [X0] :
( ~ c_lessequals(c_Message_Oanalz(c_Message_Osynth(X0)),c_Message_Oanalz(X0),tc_fun(tc_Message_Omsg,tc_bool))
| c_Message_Oanalz(c_Message_Osynth(X0)) = c_Message_Oanalz(X0)
| ~ class_Orderings_Oorder(tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(resolution,[status(thm)],[f9620,f854]) ).
fof(f9905,plain,
! [X0] : c_lessequals(c_Message_Oparts(X0),c_Message_Oanalz(c_Message_Osynth(c_Message_Oparts(X0))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(paramodulation,[status(thm)],[f1196,f9620]) ).
fof(f9909,plain,
! [X0] : c_lessequals(c_Message_Oanalz(X0),c_Message_Oanalz(c_Message_Osynth(c_Message_Oanalz(X0))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(paramodulation,[status(thm)],[f1291,f9620]) ).
fof(f9913,definition,
! [X0] :
( sQ300_spl
<=> ( ~ c_lessequals(c_Message_Oanalz(c_Message_Osynth(X0)),c_Message_Oanalz(X0),tc_fun(tc_Message_Omsg,tc_bool))
| c_Message_Oanalz(c_Message_Osynth(X0)) = c_Message_Oanalz(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ300_spl])],[split_symbol_definition]) ).
fof(f9916,plain,
( sQ300_spl
| ~ sQ78_spl ),
inference(split_clause,[status(thm)],[f9902,f3751,f9913]) ).
fof(f9918,plain,
! [X0,X1] :
( ~ c_lessequals(X0,c_Message_Oparts(X1),tc_fun(tc_Message_Omsg,tc_bool))
| c_lessequals(X0,c_Message_Oanalz(c_Message_Osynth(c_Message_Oparts(X1))),tc_fun(tc_Message_Omsg,tc_bool))
| ~ class_Orderings_Oorder(tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(resolution,[status(thm)],[f9905,f1092]) ).
fof(f9919,plain,
! [X0] :
( ~ c_lessequals(c_Message_Oanalz(c_Message_Osynth(c_Message_Oparts(X0))),c_Message_Oparts(X0),tc_fun(tc_Message_Omsg,tc_bool))
| c_Message_Oanalz(c_Message_Osynth(c_Message_Oparts(X0))) = c_Message_Oparts(X0)
| ~ class_Orderings_Oorder(tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(resolution,[status(thm)],[f9905,f854]) ).
fof(f9930,definition,
! [X0,X1] :
( sQ301_spl
<=> ( ~ c_lessequals(X0,c_Message_Oparts(X1),tc_fun(tc_Message_Omsg,tc_bool))
| c_lessequals(X0,c_Message_Oanalz(c_Message_Osynth(c_Message_Oparts(X1))),tc_fun(tc_Message_Omsg,tc_bool)) ) ),
introduced(definition,[new_symbols(definition,[sQ301_spl])],[split_symbol_definition]) ).
fof(f9934,plain,
( sQ301_spl
| ~ sQ78_spl ),
inference(split_clause,[status(thm)],[f9918,f3751,f9930]) ).
fof(f9935,definition,
! [X0] :
( sQ302_spl
<=> ( ~ c_lessequals(c_Message_Oanalz(c_Message_Osynth(c_Message_Oparts(X0))),c_Message_Oparts(X0),tc_fun(tc_Message_Omsg,tc_bool))
| c_Message_Oanalz(c_Message_Osynth(c_Message_Oparts(X0))) = c_Message_Oparts(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ302_spl])],[split_symbol_definition]) ).
fof(f9938,plain,
( sQ302_spl
| ~ sQ78_spl ),
inference(split_clause,[status(thm)],[f9919,f3751,f9935]) ).
fof(f9950,plain,
! [X0,X1] :
( ~ c_lessequals(X0,c_Message_Oanalz(X1),tc_fun(tc_Message_Omsg,tc_bool))
| c_lessequals(X0,c_Message_Oanalz(c_Message_Osynth(c_Message_Oanalz(X1))),tc_fun(tc_Message_Omsg,tc_bool))
| ~ class_Orderings_Oorder(tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(resolution,[status(thm)],[f9909,f1092]) ).
fof(f9951,plain,
! [X0] :
( ~ c_lessequals(c_Message_Oanalz(c_Message_Osynth(c_Message_Oanalz(X0))),c_Message_Oanalz(X0),tc_fun(tc_Message_Omsg,tc_bool))
| c_Message_Oanalz(c_Message_Osynth(c_Message_Oanalz(X0))) = c_Message_Oanalz(X0)
| ~ class_Orderings_Oorder(tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(resolution,[status(thm)],[f9909,f854]) ).
fof(f9966,definition,
! [X0,X1] :
( sQ303_spl
<=> ( ~ c_lessequals(X0,c_Message_Oanalz(X1),tc_fun(tc_Message_Omsg,tc_bool))
| c_lessequals(X0,c_Message_Oanalz(c_Message_Osynth(c_Message_Oanalz(X1))),tc_fun(tc_Message_Omsg,tc_bool)) ) ),
introduced(definition,[new_symbols(definition,[sQ303_spl])],[split_symbol_definition]) ).
fof(f9970,plain,
( sQ303_spl
| ~ sQ78_spl ),
inference(split_clause,[status(thm)],[f9950,f3751,f9966]) ).
fof(f9971,definition,
! [X0] :
( sQ304_spl
<=> ( ~ c_lessequals(c_Message_Oanalz(c_Message_Osynth(c_Message_Oanalz(X0))),c_Message_Oanalz(X0),tc_fun(tc_Message_Omsg,tc_bool))
| c_Message_Oanalz(c_Message_Osynth(c_Message_Oanalz(X0))) = c_Message_Oanalz(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ304_spl])],[split_symbol_definition]) ).
fof(f9974,plain,
( sQ304_spl
| ~ sQ78_spl ),
inference(split_clause,[status(thm)],[f9951,f3751,f9971]) ).
fof(f10292,plain,
( ~ sQ1_spl
| ~ hBOOL(c_in(v_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
| hBOOL(c_in(v_A,c_Event_Obad,tc_Message_Oagent)) ),
inference(resolution,[status(thm)],[f1827,f8055]) ).
fof(f10298,plain,
! [X0] :
( ~ hBOOL(hAPP(c_Message_Oparts(c_Event_OinitState(c_Message_Oagent_OSpy)),hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X0))))
| ~ hBOOL(c_in(c_List_Olist_ONil(tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
| hBOOL(c_in(X0,c_Event_Obad,tc_Message_Oagent)) ),
inference(paramodulation,[status(thm)],[f1073,f1827]) ).
fof(f10299,definition,
( sQ305_spl
<=> hBOOL(c_in(v_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))) ),
introduced(definition,[new_symbols(definition,[sQ305_spl])],[split_symbol_definition]) ).
fof(f10301,plain,
( sQ305_spl
| ~ hBOOL(c_in(v_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))) ),
inference(component_clause,[status(thm)],[f10299]) ).
fof(f10302,plain,
( ~ sQ1_spl
| ~ sQ305_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f10292,f1338,f10299,f1341]) ).
fof(f10311,definition,
! [X0] :
( sQ308_spl
<=> ( ~ hBOOL(hAPP(c_Message_Oparts(c_Event_OinitState(c_Message_Oagent_OSpy)),hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X0))))
| hBOOL(c_in(X0,c_Event_Obad,tc_Message_Oagent)) ) ),
introduced(definition,[new_symbols(definition,[sQ308_spl])],[split_symbol_definition]) ).
fof(f10314,plain,
( ~ sQ22_spl
| sQ308_spl ),
inference(split_clause,[status(thm)],[f10298,f10311,f2031]) ).
fof(f10315,plain,
( sQ305_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f10301,f1304]) ).
fof(f10316,plain,
sQ305_spl,
inference(contradiction_clause,[status(thm)],[f10315]) ).
fof(f10317,plain,
$false,
inference(sat_refutation,[status(thm)],[f1344,f1345,f1554,f1558,f1562,f1566,f1697,f1702,f1709,f1719,f1805,f1859,f2034,f2038,f2063,f2066,f2148,f2223,f2225,f2249,f2436,f2443,f2611,f2844,f2852,f2854,f2994,f3000,f3063,f3074,f3234,f3279,f3280,f3281,f3282,f3299,f3300,f3301,f3312,f3319,f3320,f3335,f3498,f3523,f3545,f3549,f3553,f3562,f3563,f3757,f3761,f3765,f3769,f3773,f3777,f3781,f3785,f3789,f3793,f3797,f3800,f3816,f3820,f3823,f3836,f3840,f4511,f4540,f4576,f4597,f4612,f4805,f4967,f4981,f4990,f5000,f5016,f5020,f5055,f5059,f5063,f5067,f5071,f5077,f5087,f5088,f5127,f5131,f5135,f5139,f5143,f5149,f5159,f5160,f5210,f5213,f5260,f5299,f5316,f5320,f5324,f5328,f5383,f5387,f5391,f5395,f5399,f5406,f5410,f5414,f5418,f5439,f5443,f5447,f5451,f5473,f5477,f5481,f5485,f5489,f5522,f5526,f5530,f5534,f5538,f5547,f5551,f5555,f5559,f5582,f5586,f5590,f5594,f5626,f5653,f5725,f5936,f5945,f6067,f6071,f6075,f6079,f6083,f6106,f6110,f6114,f6118,f6122,f6130,f6153,f6157,f6161,f6165,f6169,f6173,f6196,f6200,f6204,f6226,f6230,f6234,f6259,f6263,f6267,f6441,f6480,f6558,f6734,f6774,f6946,f7017,f7071,f7109,f7344,f7361,f7403,f7410,f7411,f7415,f7416,f7498,f7533,f7537,f7541,f7589,f7593,f7597,f7623,f7659,f7679,f7765,f7917,f8165,f8237,f8489,f8493,f8497,f8501,f8505,f8509,f8513,f8517,f8521,f8522,f8526,f8530,f8531,f8535,f8539,f8543,f8547,f8551,f8555,f8559,f8671,f9094,f9098,f9118,f9122,f9177,f9181,f9185,f9265,f9292,f9296,f9373,f9480,f9531,f9666,f9676,f9678,f9682,f9686,f9690,f9694,f9698,f9702,f9706,f9710,f9715,f9719,f9723,f9727,f9731,f9735,f9741,f9751,f9752,f9834,f9844,f9879,f9916,f9934,f9938,f9970,f9974,f10302,f10314,f10316]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SWV724-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.07 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.45 % Computer : n001.cluster.edu
% 0.19/0.45 % Model : x86_64 x86_64
% 0.19/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.45 % Memory : 8046.5625MB
% 0.19/0.45 % OS : Linux 6.8.0-71-generic
% 0.19/0.45 % CPULimit : 300
% 0.19/0.45 % WCLimit : 300
% 0.19/0.45 % DateTime : Mon Sep 21 09:27:00 UTC 2026
% 0.19/0.45 % CPUTime :
% 0.28/0.57 % Drodi V4.1.1
% 0.28/0.95 % Refutation found
% 0.28/0.95 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.28/0.95 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 1.45/1.01 % Elapsed time: 0.539707 seconds
% 1.45/1.01 % CPU time: 3.026063 seconds
% 1.45/1.01 % Total memory used: 175.669 MB
% 1.45/1.01 % Net memory used: 173.712 MB
%------------------------------------------------------------------------------