TSTP Solution File: SWV765-1 by E---3.1.00
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%------------------------------------------------------------------------------
% File : E---3.1.00
% Problem : SWV765-1 : TPTP v8.2.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n020.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue May 21 05:31:56 EDT 2024
% Result : Unsatisfiable 63.98s 8.63s
% Output : CNFRefutation 63.98s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 39
% Syntax : Number of clauses : 157 ( 59 unt; 10 nHn; 97 RR)
% Number of literals : 271 ( 108 equ; 127 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 10 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 33 ( 33 usr; 16 con; 0-4 aty)
% Number of variables : 340 ( 105 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_set__eq__subset_2,axiom,
( X1 = X2
| ~ c_lessequals(X2,X1,tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_set__eq__subset_2) ).
cnf(cls_analz__increasing_0,axiom,
c_lessequals(X1,c_Message_Oanalz(X1),tc_fun(tc_Message_Omsg,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_analz__increasing_0) ).
cnf(cls_analz__analz__Un_0,axiom,
c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oanalz(X1),X2,tc_fun(tc_Message_Omsg,tc_bool))) = c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(tc_Message_Omsg,tc_bool))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_analz__analz__Un_0) ).
cnf(cls_Un__absorb_0,axiom,
c_Lattices_Oupper__semilattice__class_Osup(X1,X1,tc_fun(X2,tc_bool)) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__absorb_0) ).
cnf(cls_analz__idem_0,axiom,
c_Message_Oanalz(c_Message_Oanalz(X1)) = c_Message_Oanalz(X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_analz__idem_0) ).
cnf(cls_insert__absorb_0,axiom,
( c_Set_Oinsert(X1,X2,X3) = X2
| ~ hBOOL(c_in(X1,X2,X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__absorb_0) ).
cnf(cls_parts_OBody_0,axiom,
( hBOOL(c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg))
| ~ hBOOL(c_in(c_Message_Omsg_OCrypt(X3,X1),c_Message_Oparts(X2),tc_Message_Omsg)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_parts_OBody_0) ).
cnf(cls_parts_OInj_0,axiom,
( hBOOL(c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg))
| ~ hBOOL(c_in(X1,X2,tc_Message_Omsg)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_parts_OInj_0) ).
cnf(cls_Says__imp__knows_0,axiom,
( hBOOL(c_in(X1,c_Event_Oknows(X2,X3),tc_Message_Omsg))
| ~ hBOOL(c_in(c_Event_Oevent_OSays(X2,X4,X1),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Says__imp__knows_0) ).
cnf(cls_Un__empty_0,axiom,
( X1 = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
| c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__empty_0) ).
cnf(cls_Un__upper2_0,axiom,
c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X1,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__upper2_0) ).
cnf(cls_insert__code_1,axiom,
hBOOL(hAPP(c_Set_Oinsert(X1,X2,X3),X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__code_1) ).
cnf(cls_analz_OInj_0,axiom,
( hBOOL(c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg))
| ~ hBOOL(c_in(X1,X2,tc_Message_Omsg)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_analz_OInj_0) ).
cnf(cls_Un__absorb1_0,axiom,
( c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)) = X2
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__absorb1_0) ).
cnf(cls_parts_OSnd_0,axiom,
( hBOOL(c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg))
| ~ hBOOL(c_in(c_Message_Omsg_OMPair(X3,X1),c_Message_Oparts(X2),tc_Message_Omsg)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_parts_OSnd_0) ).
cnf(cls_conjecture_3,negated_conjecture,
hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Omsg_OAgent(v_A)))))))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).
cnf(cls_keymode_Oinduct_0,axiom,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,c_Public_Okeymode_OEncryption))
| ~ hBOOL(hAPP(X1,c_Public_Okeymode_OSignature)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_keymode_Oinduct_0) ).
cnf(cls_analz__insert__eq_0,axiom,
( c_Message_Oanalz(c_Set_Oinsert(X1,X2,tc_Message_Omsg)) = c_Message_Oanalz(X2)
| ~ hBOOL(c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_analz__insert__eq_0) ).
cnf(cls_insert__not__empty_0,axiom,
c_Set_Oinsert(X1,X2,X3) != c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__not__empty_0) ).
cnf(cls_mem__def_1,axiom,
( hBOOL(c_in(X1,X2,X3))
| ~ hBOOL(hAPP(X2,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_mem__def_1) ).
cnf(cls_parts__Un_0,axiom,
c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(tc_Message_Omsg,tc_bool))) = c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(X1),c_Message_Oparts(X2),tc_fun(tc_Message_Omsg,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_parts__Un_0) ).
cnf(cls_insert__code_2,axiom,
( hBOOL(hAPP(c_Set_Oinsert(X1,X2,X3),X4))
| ~ hBOOL(hAPP(X2,X4)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__code_2) ).
cnf(cls_subset__Un__eq_1,axiom,
( c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)) != X2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_subset__Un__eq_1) ).
cnf(cls_parts__increasing_0,axiom,
c_lessequals(X1,c_Message_Oparts(X1),tc_fun(tc_Message_Omsg,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_parts__increasing_0) ).
cnf(cls_parts__idem_0,axiom,
c_Message_Oparts(c_Message_Oparts(X1)) = c_Message_Oparts(X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_parts__idem_0) ).
cnf(cls_insert__code_0,axiom,
( hBOOL(hAPP(X1,X2))
| X3 = X2
| ~ hBOOL(hAPP(c_Set_Oinsert(X3,X1,X4),X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__code_0) ).
cnf(cls_rev__predicate1D_0,axiom,
( hBOOL(hAPP(X1,X2))
| ~ c_lessequals(X3,X1,tc_fun(X4,tc_bool))
| ~ hBOOL(hAPP(X3,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_rev__predicate1D_0) ).
cnf(cls_analz__mono_0,axiom,
( c_lessequals(c_Message_Oanalz(X1),c_Message_Oanalz(X2),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(X1,X2,tc_fun(tc_Message_Omsg,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_analz__mono_0) ).
cnf(cls_Un__commute_0,axiom,
c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(X2,X1,tc_fun(X3,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__commute_0) ).
cnf(cls_analz__parts_0,axiom,
c_Message_Oanalz(c_Message_Oparts(X1)) = c_Message_Oparts(X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_analz__parts_0) ).
cnf(cls_insert__image_0,axiom,
( c_Set_Oinsert(hAPP(X1,X2),c_Set_Oimage(X1,X3,X4,X5),X5) = c_Set_Oimage(X1,X3,X4,X5)
| ~ hBOOL(c_in(X2,X3,X4)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__image_0) ).
cnf(cls_bot1E_0,axiom,
~ hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_bot1E_0) ).
cnf(cls_agent_Osimps_I2_J_0,axiom,
c_Message_Oagent_OServer != c_Message_Oagent_OFriend(X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_agent_Osimps_I2_J_0) ).
cnf(cls_agent_Osimps_I7_J_0,axiom,
c_Message_Oagent_OSpy != c_Message_Oagent_OFriend(X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_agent_Osimps_I7_J_0) ).
cnf(cls_Crypt__imp__invKey__keysFor_0,axiom,
( hBOOL(c_in(hAPP(c_Message_OinvKey,X1),c_Message_OkeysFor(X2),tc_nat))
| ~ hBOOL(c_in(c_Message_Omsg_OCrypt(X1,X3),X2,tc_Message_Omsg)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Crypt__imp__invKey__keysFor_0) ).
cnf(cls_parts__image__Key_0,axiom,
c_Message_Oparts(c_Set_Oimage(c_Message_Omsg_OKey,X1,tc_nat,tc_Message_Omsg)) = c_Set_Oimage(c_Message_Omsg_OKey,X1,tc_nat,tc_Message_Omsg),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_parts__image__Key_0) ).
cnf(cls_invKey__shrK_0,axiom,
hAPP(c_Message_OinvKey,hAPP(c_Public_OshrK,X1)) = hAPP(c_Public_OshrK,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_invKey__shrK_0) ).
cnf(cls_agent_Oinject_0,axiom,
( X1 = X2
| c_Message_Oagent_OFriend(X1) != c_Message_Oagent_OFriend(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_agent_Oinject_0) ).
cnf(cls_agent_Osimps_I4_J_0,axiom,
c_Message_Oagent_OServer != c_Message_Oagent_OSpy,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_agent_Osimps_I4_J_0) ).
cnf(c_0_39,plain,
( X1 = X2
| ~ c_lessequals(X2,X1,tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
inference(fof_simplification,[status(thm)],[cls_set__eq__subset_2]) ).
cnf(c_0_40,plain,
( X1 = X2
| ~ c_lessequals(X2,X1,tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
c_0_39 ).
cnf(c_0_41,axiom,
c_lessequals(X1,c_Message_Oanalz(X1),tc_fun(tc_Message_Omsg,tc_bool)),
cls_analz__increasing_0 ).
cnf(c_0_42,axiom,
c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oanalz(X1),X2,tc_fun(tc_Message_Omsg,tc_bool))) = c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(tc_Message_Omsg,tc_bool))),
cls_analz__analz__Un_0 ).
cnf(c_0_43,axiom,
c_Lattices_Oupper__semilattice__class_Osup(X1,X1,tc_fun(X2,tc_bool)) = X1,
cls_Un__absorb_0 ).
cnf(c_0_44,axiom,
c_Message_Oanalz(c_Message_Oanalz(X1)) = c_Message_Oanalz(X1),
cls_analz__idem_0 ).
cnf(c_0_45,plain,
( c_Set_Oinsert(X1,X2,X3) = X2
| ~ hBOOL(c_in(X1,X2,X3)) ),
inference(fof_simplification,[status(thm)],[cls_insert__absorb_0]) ).
cnf(c_0_46,plain,
( hBOOL(c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg))
| ~ hBOOL(c_in(c_Message_Omsg_OCrypt(X3,X1),c_Message_Oparts(X2),tc_Message_Omsg)) ),
inference(fof_simplification,[status(thm)],[cls_parts_OBody_0]) ).
cnf(c_0_47,plain,
( hBOOL(c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg))
| ~ hBOOL(c_in(X1,X2,tc_Message_Omsg)) ),
inference(fof_simplification,[status(thm)],[cls_parts_OInj_0]) ).
cnf(c_0_48,plain,
( hBOOL(c_in(X1,c_Event_Oknows(X2,X3),tc_Message_Omsg))
| ~ hBOOL(c_in(c_Event_Oevent_OSays(X2,X4,X1),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent)) ),
inference(fof_simplification,[status(thm)],[cls_Says__imp__knows_0]) ).
cnf(c_0_49,plain,
( X1 = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
| c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)) ),
inference(fof_simplification,[status(thm)],[cls_Un__empty_0]) ).
cnf(c_0_50,plain,
( c_Message_Oanalz(X1) = X1
| ~ c_lessequals(c_Message_Oanalz(X1),X1,tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(spm,[status(thm)],[c_0_40,c_0_41]) ).
cnf(c_0_51,plain,
c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X1,c_Message_Oanalz(X1),tc_fun(tc_Message_Omsg,tc_bool))) = c_Message_Oanalz(X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_43]),c_0_44]) ).
cnf(c_0_52,axiom,
c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X1,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),
cls_Un__upper2_0 ).
cnf(c_0_53,axiom,
hBOOL(hAPP(c_Set_Oinsert(X1,X2,X3),X1)),
cls_insert__code_1 ).
cnf(c_0_54,plain,
( c_Set_Oinsert(X1,X2,X3) = X2
| ~ hBOOL(c_in(X1,X2,X3)) ),
c_0_45 ).
cnf(c_0_55,plain,
( hBOOL(c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg))
| ~ hBOOL(c_in(X1,X2,tc_Message_Omsg)) ),
inference(fof_simplification,[status(thm)],[cls_analz_OInj_0]) ).
cnf(c_0_56,plain,
( c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)) = X2
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
inference(fof_simplification,[status(thm)],[cls_Un__absorb1_0]) ).
cnf(c_0_57,plain,
( hBOOL(c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg))
| ~ hBOOL(c_in(c_Message_Omsg_OMPair(X3,X1),c_Message_Oparts(X2),tc_Message_Omsg)) ),
inference(fof_simplification,[status(thm)],[cls_parts_OSnd_0]) ).
cnf(c_0_58,plain,
( hBOOL(c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg))
| ~ hBOOL(c_in(c_Message_Omsg_OCrypt(X3,X1),c_Message_Oparts(X2),tc_Message_Omsg)) ),
c_0_46 ).
cnf(c_0_59,plain,
( hBOOL(c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg))
| ~ hBOOL(c_in(X1,X2,tc_Message_Omsg)) ),
c_0_47 ).
cnf(c_0_60,plain,
( hBOOL(c_in(X1,c_Event_Oknows(X2,X3),tc_Message_Omsg))
| ~ hBOOL(c_in(c_Event_Oevent_OSays(X2,X4,X1),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent)) ),
c_0_48 ).
cnf(c_0_61,negated_conjecture,
hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Omsg_OAgent(v_A)))))))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent)),
cls_conjecture_3 ).
cnf(c_0_62,plain,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,c_Public_Okeymode_OEncryption))
| ~ hBOOL(hAPP(X1,c_Public_Okeymode_OSignature)) ),
inference(fof_simplification,[status(thm)],[cls_keymode_Oinduct_0]) ).
cnf(c_0_63,plain,
( X1 = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
| c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)) ),
c_0_49 ).
cnf(c_0_64,plain,
c_Lattices_Oupper__semilattice__class_Osup(X1,c_Message_Oanalz(X1),tc_fun(tc_Message_Omsg,tc_bool)) = c_Message_Oanalz(X1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_51]),c_0_52])]) ).
cnf(c_0_65,plain,
( c_Message_Oanalz(c_Set_Oinsert(X1,X2,tc_Message_Omsg)) = c_Message_Oanalz(X2)
| ~ hBOOL(c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg)) ),
inference(fof_simplification,[status(thm)],[cls_analz__insert__eq_0]) ).
cnf(c_0_66,plain,
c_Set_Oinsert(X1,X2,X3) != c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),
inference(fof_simplification,[status(thm)],[cls_insert__not__empty_0]) ).
cnf(c_0_67,plain,
( hBOOL(c_in(X1,X2,X3))
| ~ hBOOL(hAPP(X2,X1)) ),
inference(fof_simplification,[status(thm)],[cls_mem__def_1]) ).
cnf(c_0_68,plain,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(c_in(X2,X1,X3)) ),
inference(spm,[status(thm)],[c_0_53,c_0_54]) ).
cnf(c_0_69,plain,
( hBOOL(c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg))
| ~ hBOOL(c_in(X1,X2,tc_Message_Omsg)) ),
c_0_55 ).
cnf(c_0_70,plain,
( c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)) = X2
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
c_0_56 ).
cnf(c_0_71,axiom,
c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(tc_Message_Omsg,tc_bool))) = c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(X1),c_Message_Oparts(X2),tc_fun(tc_Message_Omsg,tc_bool)),
cls_parts__Un_0 ).
cnf(c_0_72,plain,
( hBOOL(c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg))
| ~ hBOOL(c_in(c_Message_Omsg_OMPair(X3,X1),c_Message_Oparts(X2),tc_Message_Omsg)) ),
c_0_57 ).
cnf(c_0_73,plain,
( hBOOL(c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg))
| ~ hBOOL(c_in(c_Message_Omsg_OCrypt(X3,X1),X2,tc_Message_Omsg)) ),
inference(spm,[status(thm)],[c_0_58,c_0_59]) ).
cnf(c_0_74,negated_conjecture,
hBOOL(c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Omsg_OAgent(v_A))))))),c_Event_Oknows(c_Message_Oagent_OServer,v_evs),tc_Message_Omsg)),
inference(spm,[status(thm)],[c_0_60,c_0_61]) ).
cnf(c_0_75,plain,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,c_Public_Okeymode_OEncryption))
| ~ hBOOL(hAPP(X1,c_Public_Okeymode_OSignature)) ),
c_0_62 ).
cnf(c_0_76,plain,
( hBOOL(hAPP(c_Set_Oinsert(X1,X2,X3),X4))
| ~ hBOOL(hAPP(X2,X4)) ),
inference(fof_simplification,[status(thm)],[cls_insert__code_2]) ).
cnf(c_0_77,plain,
( X1 = c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool))
| c_Message_Oanalz(X1) != c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(spm,[status(thm)],[c_0_63,c_0_64]) ).
cnf(c_0_78,plain,
( c_Message_Oanalz(c_Set_Oinsert(X1,X2,tc_Message_Omsg)) = c_Message_Oanalz(X2)
| ~ hBOOL(c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg)) ),
c_0_65 ).
cnf(c_0_79,plain,
c_Set_Oinsert(X1,X2,X3) != c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),
c_0_66 ).
cnf(c_0_80,plain,
( hBOOL(c_in(X1,X2,X3))
| ~ hBOOL(hAPP(X2,X1)) ),
c_0_67 ).
cnf(c_0_81,plain,
( hBOOL(hAPP(c_Message_Oanalz(X1),X2))
| ~ hBOOL(c_in(X2,X1,tc_Message_Omsg)) ),
inference(spm,[status(thm)],[c_0_68,c_0_69]) ).
cnf(c_0_82,plain,
( c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)) != X2 ),
inference(fof_simplification,[status(thm)],[cls_subset__Un__eq_1]) ).
cnf(c_0_83,axiom,
c_lessequals(X1,c_Message_Oparts(X1),tc_fun(tc_Message_Omsg,tc_bool)),
cls_parts__increasing_0 ).
cnf(c_0_84,plain,
( c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(tc_Message_Omsg,tc_bool))) = c_Message_Oparts(X2)
| ~ c_lessequals(c_Message_Oparts(X1),c_Message_Oparts(X2),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(spm,[status(thm)],[c_0_70,c_0_71]) ).
cnf(c_0_85,axiom,
c_Message_Oparts(c_Message_Oparts(X1)) = c_Message_Oparts(X1),
cls_parts__idem_0 ).
cnf(c_0_86,plain,
( hBOOL(c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg))
| ~ hBOOL(c_in(c_Message_Omsg_OMPair(X3,X1),X2,tc_Message_Omsg)) ),
inference(spm,[status(thm)],[c_0_72,c_0_59]) ).
cnf(c_0_87,negated_conjecture,
hBOOL(c_in(c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Omsg_OAgent(v_A)))))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OServer,v_evs)),tc_Message_Omsg)),
inference(spm,[status(thm)],[c_0_73,c_0_74]) ).
cnf(c_0_88,plain,
( hBOOL(hAPP(X1,X2))
| X3 = X2
| ~ hBOOL(hAPP(c_Set_Oinsert(X3,X1,X4),X2)) ),
inference(fof_simplification,[status(thm)],[cls_insert__code_0]) ).
cnf(c_0_89,plain,
( hBOOL(hAPP(c_Set_Oinsert(c_Public_Okeymode_OSignature,X1,X2),X3))
| ~ hBOOL(hAPP(c_Set_Oinsert(c_Public_Okeymode_OSignature,X1,X2),c_Public_Okeymode_OEncryption)) ),
inference(spm,[status(thm)],[c_0_75,c_0_53]) ).
cnf(c_0_90,plain,
( hBOOL(hAPP(c_Set_Oinsert(X1,X2,X3),X4))
| ~ hBOOL(hAPP(X2,X4)) ),
c_0_76 ).
cnf(c_0_91,plain,
( c_Message_Oanalz(X1) != c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool))
| ~ hBOOL(c_in(X2,c_Message_Oanalz(X1),tc_Message_Omsg)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_78]),c_0_79]) ).
cnf(c_0_92,plain,
( hBOOL(c_in(X1,c_Message_Oanalz(X2),X3))
| ~ hBOOL(c_in(X1,X2,tc_Message_Omsg)) ),
inference(spm,[status(thm)],[c_0_80,c_0_81]) ).
cnf(c_0_93,plain,
( hBOOL(hAPP(c_Message_Oparts(X1),X2))
| ~ hBOOL(c_in(X2,X1,tc_Message_Omsg)) ),
inference(spm,[status(thm)],[c_0_68,c_0_59]) ).
cnf(c_0_94,plain,
( hBOOL(hAPP(X1,X2))
| ~ c_lessequals(X3,X1,tc_fun(X4,tc_bool))
| ~ hBOOL(hAPP(X3,X2)) ),
inference(fof_simplification,[status(thm)],[cls_rev__predicate1D_0]) ).
cnf(c_0_95,plain,
( c_lessequals(c_Message_Oanalz(X1),c_Message_Oanalz(X2),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(X1,X2,tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(fof_simplification,[status(thm)],[cls_analz__mono_0]) ).
cnf(c_0_96,plain,
( c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)) != X2 ),
c_0_82 ).
cnf(c_0_97,axiom,
c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(X2,X1,tc_fun(X3,tc_bool)),
cls_Un__commute_0 ).
cnf(c_0_98,plain,
( c_Message_Oparts(X1) = X1
| ~ c_lessequals(c_Message_Oparts(X1),X1,tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(spm,[status(thm)],[c_0_40,c_0_83]) ).
cnf(c_0_99,plain,
c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(X1,c_Message_Oparts(X1),tc_fun(tc_Message_Omsg,tc_bool))) = c_Message_Oparts(X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_83]),c_0_85]) ).
cnf(c_0_100,negated_conjecture,
hBOOL(c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Omsg_OAgent(v_A))))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OServer,v_evs)),tc_Message_Omsg)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_87]),c_0_85]) ).
cnf(c_0_101,plain,
( hBOOL(hAPP(X1,X2))
| X3 = X2
| ~ hBOOL(hAPP(c_Set_Oinsert(X3,X1,X4),X2)) ),
c_0_88 ).
cnf(c_0_102,plain,
( hBOOL(hAPP(c_Set_Oinsert(c_Public_Okeymode_OSignature,X1,X2),X3))
| ~ hBOOL(hAPP(X1,c_Public_Okeymode_OEncryption)) ),
inference(spm,[status(thm)],[c_0_89,c_0_90]) ).
cnf(c_0_103,plain,
( c_Message_Oanalz(X1) != c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool))
| ~ hBOOL(c_in(X2,X1,tc_Message_Omsg)) ),
inference(spm,[status(thm)],[c_0_91,c_0_92]) ).
cnf(c_0_104,plain,
( hBOOL(c_in(X1,c_Message_Oparts(X2),X3))
| ~ hBOOL(c_in(X1,X2,tc_Message_Omsg)) ),
inference(spm,[status(thm)],[c_0_80,c_0_93]) ).
cnf(c_0_105,axiom,
c_Message_Oanalz(c_Message_Oparts(X1)) = c_Message_Oparts(X1),
cls_analz__parts_0 ).
cnf(c_0_106,plain,
( hBOOL(hAPP(X1,X2))
| ~ c_lessequals(X3,X1,tc_fun(X4,tc_bool))
| ~ hBOOL(hAPP(X3,X2)) ),
c_0_94 ).
cnf(c_0_107,plain,
( c_lessequals(c_Message_Oanalz(X1),c_Message_Oanalz(X2),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(X1,X2,tc_fun(tc_Message_Omsg,tc_bool)) ),
c_0_95 ).
cnf(c_0_108,plain,
( c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| c_Lattices_Oupper__semilattice__class_Osup(X2,X1,tc_fun(X3,tc_bool)) != X2 ),
inference(spm,[status(thm)],[c_0_96,c_0_97]) ).
cnf(c_0_109,plain,
c_Lattices_Oupper__semilattice__class_Osup(X1,c_Message_Oparts(X1),tc_fun(tc_Message_Omsg,tc_bool)) = c_Message_Oparts(X1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_99]),c_0_52])]) ).
cnf(c_0_110,negated_conjecture,
hBOOL(c_in(c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Omsg_OAgent(v_A)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OServer,v_evs)),tc_Message_Omsg)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_100]),c_0_85]) ).
cnf(c_0_111,plain,
( X1 = c_Public_Okeymode_OSignature
| hBOOL(hAPP(X2,X1))
| ~ hBOOL(hAPP(X2,c_Public_Okeymode_OEncryption)) ),
inference(spm,[status(thm)],[c_0_101,c_0_102]) ).
cnf(c_0_112,plain,
( c_Message_Oparts(X1) != c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool))
| ~ hBOOL(c_in(X2,X1,tc_Message_Omsg)) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_103,c_0_104]),c_0_105]) ).
cnf(c_0_113,plain,
hBOOL(c_in(X1,c_Set_Oinsert(X1,X2,X3),X4)),
inference(spm,[status(thm)],[c_0_80,c_0_53]) ).
cnf(c_0_114,plain,
( c_Set_Oinsert(hAPP(X1,X2),c_Set_Oimage(X1,X3,X4,X5),X5) = c_Set_Oimage(X1,X3,X4,X5)
| ~ hBOOL(c_in(X2,X3,X4)) ),
inference(fof_simplification,[status(thm)],[cls_insert__image_0]) ).
cnf(c_0_115,plain,
( hBOOL(hAPP(c_Message_Oanalz(X1),X2))
| ~ hBOOL(hAPP(c_Message_Oanalz(X3),X2))
| ~ c_lessequals(X3,X1,tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(spm,[status(thm)],[c_0_106,c_0_107]) ).
cnf(c_0_116,plain,
( c_lessequals(c_Message_Oparts(X1),X1,tc_fun(tc_Message_Omsg,tc_bool))
| c_Message_Oparts(X1) != X1 ),
inference(spm,[status(thm)],[c_0_108,c_0_109]) ).
cnf(c_0_117,negated_conjecture,
hBOOL(c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Omsg_OAgent(v_A))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OServer,v_evs)),tc_Message_Omsg)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_110]),c_0_85]) ).
cnf(c_0_118,plain,
~ hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2)),
inference(fof_simplification,[status(thm)],[cls_bot1E_0]) ).
cnf(c_0_119,plain,
( X1 = c_Public_Okeymode_OSignature
| hBOOL(hAPP(c_Set_Oinsert(c_Public_Okeymode_OEncryption,X2,X3),X1)) ),
inference(spm,[status(thm)],[c_0_111,c_0_53]) ).
cnf(c_0_120,plain,
c_Message_Oparts(c_Set_Oinsert(X1,X2,X3)) != c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),
inference(spm,[status(thm)],[c_0_112,c_0_113]) ).
cnf(c_0_121,plain,
( c_Set_Oinsert(hAPP(X1,X2),c_Set_Oimage(X1,X3,X4,X5),X5) = c_Set_Oimage(X1,X3,X4,X5)
| ~ hBOOL(c_in(X2,X3,X4)) ),
c_0_114 ).
cnf(c_0_122,plain,
( hBOOL(hAPP(c_Message_Oanalz(X1),X2))
| c_Message_Oparts(X1) != X1
| ~ hBOOL(hAPP(c_Message_Oparts(X1),X2)) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_116]),c_0_105]) ).
cnf(c_0_123,negated_conjecture,
hBOOL(hAPP(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OServer,v_evs)),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Omsg_OAgent(v_A))))),
inference(spm,[status(thm)],[c_0_68,c_0_117]) ).
cnf(c_0_124,plain,
c_Message_Oagent_OServer != c_Message_Oagent_OFriend(X1),
inference(fof_simplification,[status(thm)],[cls_agent_Osimps_I2_J_0]) ).
cnf(c_0_125,plain,
~ hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2)),
c_0_118 ).
cnf(c_0_126,plain,
( X1 = c_Public_Okeymode_OSignature
| X1 = c_Public_Okeymode_OEncryption
| hBOOL(hAPP(X2,X1)) ),
inference(spm,[status(thm)],[c_0_101,c_0_119]) ).
cnf(c_0_127,plain,
c_Message_Oagent_OSpy != c_Message_Oagent_OFriend(X1),
inference(fof_simplification,[status(thm)],[cls_agent_Osimps_I7_J_0]) ).
cnf(c_0_128,plain,
( c_Message_Oparts(c_Set_Oimage(X1,X2,X3,X4)) != c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool))
| ~ hBOOL(c_in(X5,X2,X3)) ),
inference(spm,[status(thm)],[c_0_120,c_0_121]) ).
cnf(c_0_129,plain,
( hBOOL(c_in(hAPP(c_Message_OinvKey,X1),c_Message_OkeysFor(X2),tc_nat))
| ~ hBOOL(c_in(c_Message_Omsg_OCrypt(X1,X3),X2,tc_Message_Omsg)) ),
inference(fof_simplification,[status(thm)],[cls_Crypt__imp__invKey__keysFor_0]) ).
cnf(c_0_130,negated_conjecture,
( hBOOL(hAPP(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OServer,v_evs)),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Omsg_OAgent(v_A)))))
| c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OServer,v_evs)) != c_Event_Oknows(c_Message_Oagent_OServer,v_evs) ),
inference(spm,[status(thm)],[c_0_122,c_0_123]) ).
cnf(c_0_131,plain,
c_Message_Oagent_OServer != c_Message_Oagent_OFriend(X1),
c_0_124 ).
cnf(c_0_132,plain,
( X1 = c_Public_Okeymode_OEncryption
| X1 = c_Public_Okeymode_OSignature ),
inference(spm,[status(thm)],[c_0_125,c_0_126]) ).
cnf(c_0_133,plain,
c_Message_Oagent_OSpy != c_Message_Oagent_OFriend(X1),
c_0_127 ).
cnf(c_0_134,plain,
c_Message_Oparts(c_Set_Oimage(X1,c_Set_Oinsert(X2,X3,X4),X5,X6)) != c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),
inference(spm,[status(thm)],[c_0_128,c_0_113]) ).
cnf(c_0_135,axiom,
c_Message_Oparts(c_Set_Oimage(c_Message_Omsg_OKey,X1,tc_nat,tc_Message_Omsg)) = c_Set_Oimage(c_Message_Omsg_OKey,X1,tc_nat,tc_Message_Omsg),
cls_parts__image__Key_0 ).
cnf(c_0_136,plain,
( hBOOL(c_in(hAPP(c_Message_OinvKey,X1),c_Message_OkeysFor(X2),tc_nat))
| ~ hBOOL(c_in(c_Message_Omsg_OCrypt(X1,X3),X2,tc_Message_Omsg)) ),
c_0_129 ).
cnf(c_0_137,negated_conjecture,
( hBOOL(c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Omsg_OAgent(v_A))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OServer,v_evs)),X1))
| c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OServer,v_evs)) != c_Event_Oknows(c_Message_Oagent_OServer,v_evs) ),
inference(spm,[status(thm)],[c_0_80,c_0_130]) ).
cnf(c_0_138,axiom,
hAPP(c_Message_OinvKey,hAPP(c_Public_OshrK,X1)) = hAPP(c_Public_OshrK,X1),
cls_invKey__shrK_0 ).
cnf(c_0_139,plain,
( c_Message_Oagent_OFriend(X1) = c_Public_Okeymode_OEncryption
| c_Public_Okeymode_OSignature != c_Message_Oagent_OServer ),
inference(spm,[status(thm)],[c_0_131,c_0_132]) ).
cnf(c_0_140,plain,
( X1 = X2
| c_Message_Oagent_OFriend(X1) != c_Message_Oagent_OFriend(X2) ),
inference(fof_simplification,[status(thm)],[cls_agent_Oinject_0]) ).
cnf(c_0_141,plain,
( c_Message_Oagent_OFriend(X1) = c_Public_Okeymode_OEncryption
| c_Public_Okeymode_OSignature != c_Message_Oagent_OSpy ),
inference(spm,[status(thm)],[c_0_133,c_0_132]) ).
cnf(c_0_142,plain,
c_Set_Oimage(c_Message_Omsg_OKey,c_Set_Oinsert(X1,X2,X3),tc_nat,tc_Message_Omsg) != c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),
inference(spm,[status(thm)],[c_0_134,c_0_135]) ).
cnf(c_0_143,plain,
( hBOOL(c_in(X1,X2,X3))
| ~ hBOOL(c_in(X1,X2,X4)) ),
inference(spm,[status(thm)],[c_0_113,c_0_54]) ).
cnf(c_0_144,negated_conjecture,
( hBOOL(c_in(hAPP(c_Public_OshrK,v_B),c_Message_OkeysFor(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OServer,v_evs))),tc_nat))
| c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OServer,v_evs)) != c_Event_Oknows(c_Message_Oagent_OServer,v_evs) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_137]),c_0_138]) ).
cnf(c_0_145,plain,
( c_Message_Oagent_OFriend(X1) = c_Public_Okeymode_OEncryption
| c_Public_Okeymode_OEncryption = c_Message_Oagent_OServer ),
inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_139,c_0_132])]) ).
cnf(c_0_146,plain,
( X1 = X2
| c_Message_Oagent_OFriend(X1) != c_Message_Oagent_OFriend(X2) ),
c_0_140 ).
cnf(c_0_147,plain,
( c_Message_Oagent_OFriend(X1) = c_Public_Okeymode_OEncryption
| c_Public_Okeymode_OEncryption = c_Message_Oagent_OSpy ),
inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_141,c_0_132])]) ).
cnf(c_0_148,plain,
c_Message_Oagent_OServer != c_Message_Oagent_OSpy,
inference(fof_simplification,[status(thm)],[cls_agent_Osimps_I4_J_0]) ).
cnf(c_0_149,plain,
( c_Set_Oimage(c_Message_Omsg_OKey,X1,tc_nat,tc_Message_Omsg) != c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool))
| ~ hBOOL(c_in(X2,X1,X3)) ),
inference(spm,[status(thm)],[c_0_142,c_0_54]) ).
cnf(c_0_150,negated_conjecture,
( hBOOL(c_in(hAPP(c_Public_OshrK,v_B),c_Message_OkeysFor(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OServer,v_evs))),X1))
| c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OServer,v_evs)) != c_Event_Oknows(c_Message_Oagent_OServer,v_evs) ),
inference(spm,[status(thm)],[c_0_143,c_0_144]) ).
cnf(c_0_151,plain,
( c_Public_Okeymode_OEncryption = c_Message_Oagent_OServer
| c_Public_Okeymode_OEncryption != c_Message_Oagent_OSpy ),
inference(spm,[status(thm)],[c_0_133,c_0_145]) ).
cnf(c_0_152,plain,
( c_Public_Okeymode_OEncryption = c_Message_Oagent_OSpy
| X1 = X2 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_146,c_0_147]),c_0_147]) ).
cnf(c_0_153,plain,
c_Message_Oagent_OServer != c_Message_Oagent_OSpy,
c_0_148 ).
cnf(c_0_154,negated_conjecture,
( c_Set_Oimage(c_Message_Omsg_OKey,c_Message_OkeysFor(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OServer,v_evs))),tc_nat,tc_Message_Omsg) != c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool))
| c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OServer,v_evs)) != c_Event_Oknows(c_Message_Oagent_OServer,v_evs) ),
inference(spm,[status(thm)],[c_0_149,c_0_150]) ).
cnf(c_0_155,plain,
X1 = X2,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_151,c_0_152]),c_0_153]) ).
cnf(c_0_156,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_154,c_0_155]),c_0_155]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SWV765-1 : TPTP v8.2.0. Released v4.1.0.
% 0.12/0.14 % Command : run_E %s %d THM
% 0.14/0.35 % Computer : n020.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Sun May 19 06:28:23 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.21/0.48 Running first-order theorem proving
% 0.21/0.48 Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 63.98/8.63 # Version: 3.1.0
% 63.98/8.63 # Preprocessing class: FSLSSMSMSSSNFFN.
% 63.98/8.63 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 63.98/8.63 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 63.98/8.63 # Starting new_bool_3 with 300s (1) cores
% 63.98/8.63 # Starting new_bool_1 with 300s (1) cores
% 63.98/8.63 # Starting sh5l with 300s (1) cores
% 63.98/8.63 # C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 8349 completed with status 0
% 63.98/8.63 # Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 63.98/8.63 # Preprocessing class: FSLSSMSMSSSNFFN.
% 63.98/8.63 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 63.98/8.63 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 63.98/8.63 # No SInE strategy applied
% 63.98/8.63 # Search class: FGHSM-FSLM31-DFFFFFNN
% 63.98/8.63 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 63.98/8.63 # Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 680s (1) cores
% 63.98/8.63 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 63.98/8.63 # Starting U----_206c_10_B11_00_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 63.98/8.63 # Starting G-E--_302_C18_F1_URBAN_S5PRR_RG_S0Y with 136s (1) cores
% 63.98/8.63 # Starting G-E--_208_B07_F1_SE_CS_SP_PS_S4d with 136s (1) cores
% 63.98/8.63 # C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 8356 completed with status 0
% 63.98/8.63 # Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 63.98/8.63 # Preprocessing class: FSLSSMSMSSSNFFN.
% 63.98/8.63 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 63.98/8.63 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 63.98/8.63 # No SInE strategy applied
% 63.98/8.63 # Search class: FGHSM-FSLM31-DFFFFFNN
% 63.98/8.63 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 63.98/8.63 # Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 680s (1) cores
% 63.98/8.63 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 63.98/8.63 # Preprocessing time : 0.009 s
% 63.98/8.63 # Presaturation interreduction done
% 63.98/8.63
% 63.98/8.63 # Proof found!
% 63.98/8.63 # SZS status Unsatisfiable
% 63.98/8.63 # SZS output start CNFRefutation
% See solution above
% 63.98/8.63 # Parsed axioms : 545
% 63.98/8.63 # Removed by relevancy pruning/SinE : 0
% 63.98/8.63 # Initial clauses : 545
% 63.98/8.63 # Removed in clause preprocessing : 0
% 63.98/8.63 # Initial clauses in saturation : 545
% 63.98/8.63 # Processed clauses : 24562
% 63.98/8.63 # ...of these trivial : 1133
% 63.98/8.63 # ...subsumed : 17993
% 63.98/8.63 # ...remaining for further processing : 5436
% 63.98/8.63 # Other redundant clauses eliminated : 1727
% 63.98/8.63 # Clauses deleted for lack of memory : 0
% 63.98/8.63 # Backward-subsumed : 1310
% 63.98/8.63 # Backward-rewritten : 413
% 63.98/8.63 # Generated clauses : 396078
% 63.98/8.63 # ...of the previous two non-redundant : 316925
% 63.98/8.63 # ...aggressively subsumed : 0
% 63.98/8.63 # Contextual simplify-reflections : 2
% 63.98/8.63 # Paramodulations : 393495
% 63.98/8.63 # Factorizations : 12
% 63.98/8.63 # NegExts : 0
% 63.98/8.63 # Equation resolutions : 1763
% 63.98/8.63 # Disequality decompositions : 0
% 63.98/8.63 # Total rewrite steps : 202237
% 63.98/8.63 # ...of those cached : 178598
% 63.98/8.63 # Propositional unsat checks : 1
% 63.98/8.63 # Propositional check models : 0
% 63.98/8.63 # Propositional check unsatisfiable : 0
% 63.98/8.63 # Propositional clauses : 0
% 63.98/8.63 # Propositional clauses after purity: 0
% 63.98/8.63 # Propositional unsat core size : 0
% 63.98/8.63 # Propositional preprocessing time : 0.000
% 63.98/8.63 # Propositional encoding time : 0.458
% 63.98/8.63 # Propositional solver time : 0.282
% 63.98/8.63 # Success case prop preproc time : 0.000
% 63.98/8.63 # Success case prop encoding time : 0.000
% 63.98/8.63 # Success case prop solver time : 0.000
% 63.98/8.63 # Current number of processed clauses : 2481
% 63.98/8.63 # Positive orientable unit clauses : 1106
% 63.98/8.63 # Positive unorientable unit clauses: 1
% 63.98/8.63 # Negative unit clauses : 47
% 63.98/8.63 # Non-unit-clauses : 1327
% 63.98/8.63 # Current number of unprocessed clauses: 290553
% 63.98/8.63 # ...number of literals in the above : 680674
% 63.98/8.63 # Current number of archived formulas : 0
% 63.98/8.63 # Current number of archived clauses : 2955
% 63.98/8.63 # Clause-clause subsumption calls (NU) : 880871
% 63.98/8.63 # Rec. Clause-clause subsumption calls : 645476
% 63.98/8.63 # Non-unit clause-clause subsumptions : 5383
% 63.98/8.63 # Unit Clause-clause subsumption calls : 381979
% 63.98/8.63 # Rewrite failures with RHS unbound : 9672
% 63.98/8.63 # BW rewrite match attempts : 40597
% 63.98/8.63 # BW rewrite match successes : 9061
% 63.98/8.63 # Condensation attempts : 0
% 63.98/8.63 # Condensation successes : 0
% 63.98/8.63 # Termbank termtop insertions : 9655867
% 63.98/8.63 # Search garbage collected termcells : 995
% 63.98/8.63
% 63.98/8.63 # -------------------------------------------------
% 63.98/8.63 # User time : 7.647 s
% 63.98/8.63 # System time : 0.270 s
% 63.98/8.63 # Total time : 7.917 s
% 63.98/8.63 # Maximum resident set size: 2836 pages
% 63.98/8.63
% 63.98/8.63 # -------------------------------------------------
% 63.98/8.63 # User time : 38.160 s
% 63.98/8.63 # System time : 1.333 s
% 63.98/8.63 # Total time : 39.493 s
% 63.98/8.63 # Maximum resident set size: 2160 pages
% 63.98/8.63 % E---3.1 exiting
% 63.98/8.63 % E exiting
%------------------------------------------------------------------------------