%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWV730-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/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 02:53:04 PM UTC 2026
% Result : Unsatisfiable 61.74s 8.27s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV730-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.37 % Computer : n001.cluster.edu
% 0.08/0.37 % Model : x86_64 x86_64
% 0.08/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.37 % Memory : 8046.5625MB
% 0.08/0.37 % OS : Linux 6.8.0-71-generic
% 0.08/0.37 % CPULimit : 300
% 0.08/0.37 % WCLimit : 300
% 0.08/0.37 % DateTime : Mon Sep 21 09:27:44 UTC 2026
% 0.13/0.37 % CPUTime :
% 0.13/0.44 % Drodi V4.1.1
% 61.74/8.27 % Refutation found
% 61.74/8.27 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 61.74/8.27 % SZS output start CNFRefutation for theBenchmark
% 61.74/8.27 fof(f25,axiom,(
% 61.74/8.27 (![V_P,V_keymode]: (( hBOOL(hAPP(V_P,V_keymode))| ~ hBOOL(hAPP(V_P,c_Public_Okeymode_OEncryption))| ~ hBOOL(hAPP(V_P,c_Public_Okeymode_OSignature)) ) ))),
% 61.74/8.27 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 61.74/8.27 fof(f28,axiom,(
% 61.74/8.27 (![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)) ))),
% 61.74/8.27 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 61.74/8.27 fof(f31,axiom,(
% 61.74/8.27 (![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 ))),
% 61.74/8.27 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 61.74/8.27 fof(f34,axiom,(
% 61.74/8.27 (![T_a,V_x]: (~ hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_x)) ))),
% 61.74/8.27 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 61.74/8.27 fof(f62,axiom,(
% 61.74/8.27 (![V_a,V_B,T_a,V_C]: (c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(V_a,V_B,T_a),V_C,tc_fun(T_a,tc_bool)) = c_Set_Oinsert(V_a,c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool)),T_a) ))),
% 61.74/8.27 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 61.74/8.27 fof(f73,axiom,(
% 61.74/8.27 (![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)) ))),
% 61.74/8.27 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 61.74/8.27 fof(f74,axiom,(
% 61.74/8.27 (![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)) ))),
% 61.74/8.27 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 61.74/8.27 fof(f93,axiom,(
% 61.74/8.27 (![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)) ))),
% 61.74/8.27 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 61.74/8.27 fof(f129,axiom,(
% 61.74/8.27 c_Event_OinitState(c_Message_Oagent_OServer) = c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,hAPP(c_Message_OinvKey,hAPP(c_Public_OpublicKey(c_Public_Okeymode_OEncryption),c_Message_Oagent_OServer))),c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,hAPP(c_Message_OinvKey,hAPP(c_Public_OpublicKey(c_Public_Okeymode_OSignature),c_Message_Oagent_OServer))),c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg),tc_Message_Omsg),c_Set_Oimage(c_Message_Omsg_OKey,c_Set_Oimage(c_Public_OpublicKey(c_Public_Okeymode_OEncryption),c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_nat,tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool)),c_Set_Oimage(c_Message_Omsg_OKey,c_Set_Oimage(c_Public_OpublicKey(c_Public_Okeymode_OSignature),c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_nat,tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool)),c_Set_Oimage(c_Message_Omsg_OKey,c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_nat,tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool)) ),
% 61.74/8.27 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 61.74/8.27 fof(f349,axiom,(
% 61.74/8.27 (![V_a,V_A,T_a]: (( c_Set_Oinsert(V_a,V_A,T_a) = V_A| ~ hBOOL(c_in(V_a,V_A,T_a)) ) ))),
% 61.74/8.27 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 61.74/8.27 fof(f367,axiom,(
% 61.74/8.27 (![V_xs,V_x,T_a]: (V_xs != c_List_Olist_OCons(V_x,V_xs,T_a) ))),
% 61.74/8.27 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 61.74/8.27 fof(f373,axiom,(
% 61.74/8.27 (![V_a_H,V_list_H,T_a]: (c_List_Olist_OCons(V_a_H,V_list_H,T_a) != c_List_Olist_ONil(T_a) ))),
% 61.74/8.27 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 61.74/8.27 fof(f377,axiom,(
% 61.74/8.27 (![V_y,V_A,T_a,V_x]: (( hBOOL(hAPP(c_Set_Oinsert(V_y,V_A,T_a),V_x))| ~ hBOOL(hAPP(V_A,V_x)) ) ))),
% 61.74/8.27 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 61.74/8.27 fof(f398,axiom,(
% 61.74/8.27 (![V_A,V_x,V_y,T_a]: (( hBOOL(hAPP(V_A,V_x))| V_y = V_x| ~ hBOOL(hAPP(c_Set_Oinsert(V_y,V_A,T_a),V_x)) ) ))),
% 61.74/8.27 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 61.74/8.27 fof(f415,axiom,(
% 61.74/8.27 (![V_x,V_A,T_a]: (hBOOL(hAPP(c_Set_Oinsert(V_x,V_A,T_a),V_x)) ))),
% 61.74/8.27 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 61.74/8.27 fof(f422,axiom,(
% 61.74/8.27 (![V_a,V_list,T_a,V_a_H,V_list_H]: (( c_List_Olist_OCons(V_a,V_list,T_a) != c_List_Olist_OCons(V_a_H,V_list_H,T_a)| V_list = V_list_H ) ))),
% 61.74/8.27 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 61.74/8.27 fof(f519,axiom,(
% 61.74/8.27 (![V_x,V_S,T_a]: (( hBOOL(c_in(V_x,V_S,T_a))| ~ hBOOL(hAPP(V_S,V_x)) ) ))),
% 61.74/8.27 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 61.74/8.27 fof(f594,plain,(
% 61.74/8.27 ![V_P]: (((![V_keymode]: hBOOL(hAPP(V_P,V_keymode)))|~hBOOL(hAPP(V_P,c_Public_Okeymode_OEncryption)))|~hBOOL(hAPP(V_P,c_Public_Okeymode_OSignature)))),
% 61.74/8.27 inference(miniscoping,[status(thm)],[f25])).
% 61.74/8.27 fof(f595,plain,(
% 61.74/8.27 ![X0,X1]: (hBOOL(hAPP(X0,X1))|~hBOOL(hAPP(X0,c_Public_Okeymode_OEncryption))|~hBOOL(hAPP(X0,c_Public_Okeymode_OSignature)))),
% 61.74/8.27 inference(cnf_transformation,[status(thm)],[f594])).
% 61.74/8.27 fof(f599,plain,(
% 61.74/8.27 ![X0,X1,X2]: (~c_Set_Oinsert(X0,X1,X2)=c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)))),
% 61.74/8.27 inference(cnf_transformation,[status(thm)],[f28])).
% 61.74/8.27 fof(f604,plain,(
% 61.74/8.27 ![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)),
% 61.74/8.27 inference(cnf_transformation,[status(thm)],[f31])).
% 61.74/8.27 fof(f607,plain,(
% 61.74/8.27 ![X0,X1]: (~hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)),X1)))),
% 61.74/8.27 inference(cnf_transformation,[status(thm)],[f34])).
% 61.74/8.27 fof(f641,plain,(
% 61.74/8.27 ![X0,X1,X2,X3]: (c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(X0,X1,X2),X3,tc_fun(X2,tc_bool))=c_Set_Oinsert(X0,c_Lattices_Oupper__semilattice__class_Osup(X1,X3,tc_fun(X2,tc_bool)),X2))),
% 61.74/8.27 inference(cnf_transformation,[status(thm)],[f62])).
% 61.74/8.27 fof(f656,plain,(
% 61.74/8.27 ![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)))),
% 61.74/8.27 inference(cnf_transformation,[status(thm)],[f73])).
% 61.74/8.27 fof(f657,plain,(
% 61.74/8.27 ![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)))),
% 61.74/8.27 inference(cnf_transformation,[status(thm)],[f74])).
% 61.74/8.27 fof(f689,plain,(
% 61.74/8.27 ![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)))),
% 61.74/8.27 inference(cnf_transformation,[status(thm)],[f93])).
% 61.74/8.27 fof(f740,plain,(
% 61.74/8.27 c_Event_OinitState(c_Message_Oagent_OServer)=c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,hAPP(c_Message_OinvKey,hAPP(c_Public_OpublicKey(c_Public_Okeymode_OEncryption),c_Message_Oagent_OServer))),c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,hAPP(c_Message_OinvKey,hAPP(c_Public_OpublicKey(c_Public_Okeymode_OSignature),c_Message_Oagent_OServer))),c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg),tc_Message_Omsg),c_Set_Oimage(c_Message_Omsg_OKey,c_Set_Oimage(c_Public_OpublicKey(c_Public_Okeymode_OEncryption),c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_nat,tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool)),c_Set_Oimage(c_Message_Omsg_OKey,c_Set_Oimage(c_Public_OpublicKey(c_Public_Okeymode_OSignature),c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_nat,tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool)),c_Set_Oimage(c_Message_Omsg_OKey,c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_nat,tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool))),
% 61.74/8.27 inference(cnf_transformation,[status(thm)],[f129])).
% 61.74/8.27 fof(f1051,plain,(
% 61.74/8.27 ![X0,X1,X2]: (c_Set_Oinsert(X0,X1,X2)=X1|~hBOOL(c_in(X0,X1,X2)))),
% 61.74/8.27 inference(cnf_transformation,[status(thm)],[f349])).
% 61.74/8.27 fof(f1074,plain,(
% 61.74/8.27 ![X0,X1,X2]: (~X0=c_List_Olist_OCons(X1,X0,X2))),
% 61.74/8.27 inference(cnf_transformation,[status(thm)],[f367])).
% 61.74/8.27 fof(f1080,plain,(
% 61.74/8.27 ![X0,X1,X2]: (~c_List_Olist_OCons(X0,X1,X2)=c_List_Olist_ONil(X2))),
% 61.74/8.27 inference(cnf_transformation,[status(thm)],[f373])).
% 61.74/8.27 fof(f1085,plain,(
% 61.74/8.27 ![V_A,V_x]: ((![V_y,T_a]: hBOOL(hAPP(c_Set_Oinsert(V_y,V_A,T_a),V_x)))|~hBOOL(hAPP(V_A,V_x)))),
% 61.74/8.27 inference(miniscoping,[status(thm)],[f377])).
% 61.74/8.27 fof(f1086,plain,(
% 61.74/8.27 ![X0,X1,X2,X3]: (hBOOL(hAPP(c_Set_Oinsert(X0,X1,X2),X3))|~hBOOL(hAPP(X1,X3)))),
% 61.74/8.27 inference(cnf_transformation,[status(thm)],[f1085])).
% 61.74/8.27 fof(f1112,plain,(
% 61.74/8.27 ![V_A,V_x,V_y]: ((hBOOL(hAPP(V_A,V_x))|V_y=V_x)|(![T_a]: ~hBOOL(hAPP(c_Set_Oinsert(V_y,V_A,T_a),V_x))))),
% 61.74/8.27 inference(miniscoping,[status(thm)],[f398])).
% 61.74/8.27 fof(f1113,plain,(
% 61.74/8.27 ![X0,X1,X2,X3]: (hBOOL(hAPP(X0,X1))|X2=X1|~hBOOL(hAPP(c_Set_Oinsert(X2,X0,X3),X1)))),
% 61.74/8.27 inference(cnf_transformation,[status(thm)],[f1112])).
% 61.74/8.27 fof(f1134,plain,(
% 61.74/8.27 ![X0,X1,X2]: (hBOOL(hAPP(c_Set_Oinsert(X0,X1,X2),X0)))),
% 61.74/8.27 inference(cnf_transformation,[status(thm)],[f415])).
% 61.74/8.27 fof(f1142,plain,(
% 61.74/8.27 ![V_list,V_list_H]: ((![V_a,T_a,V_a_H]: ~c_List_Olist_OCons(V_a,V_list,T_a)=c_List_Olist_OCons(V_a_H,V_list_H,T_a))|V_list=V_list_H)),
% 61.74/8.27 inference(miniscoping,[status(thm)],[f422])).
% 61.74/8.27 fof(f1143,plain,(
% 61.74/8.27 ![X0,X1,X2,X3,X4]: (~c_List_Olist_OCons(X0,X1,X2)=c_List_Olist_OCons(X3,X4,X2)|X1=X4)),
% 61.74/8.27 inference(cnf_transformation,[status(thm)],[f1142])).
% 61.74/8.27 fof(f1280,plain,(
% 61.74/8.27 ![V_x,V_S]: ((![T_a]: hBOOL(c_in(V_x,V_S,T_a)))|~hBOOL(hAPP(V_S,V_x)))),
% 61.74/8.27 inference(miniscoping,[status(thm)],[f519])).
% 61.74/8.27 fof(f1281,plain,(
% 61.74/8.27 ![X0,X1,X2]: (hBOOL(c_in(X0,X1,X2))|~hBOOL(hAPP(X1,X0)))),
% 61.74/8.27 inference(cnf_transformation,[status(thm)],[f1280])).
% 61.74/8.27 fof(f1948,plain,(
% 61.74/8.27 ![X0,X1,X2,X3]: (hBOOL(c_in(X0,c_Set_Oinsert(X0,X1,X2),X3)))),
% 61.74/8.27 inference(resolution,[status(thm)],[f1134,f1281])).
% 61.74/8.27 fof(f2260,plain,(
% 61.74/8.27 ![X0,X1,X2]: (hBOOL(hAPP(c_Set_Oinsert(c_Public_Okeymode_OEncryption,X0,X1),X2))|~hBOOL(hAPP(c_Set_Oinsert(c_Public_Okeymode_OEncryption,X0,X1),c_Public_Okeymode_OSignature)))),
% 61.74/8.27 inference(resolution,[status(thm)],[f595,f1134])).
% 61.74/8.27 fof(f2775,plain,(
% 61.74/8.27 ![X0,X1,X2,X3]: (c_Set_Oinsert(X0,c_Set_Oinsert(X0,X1,X2),X3)=c_Set_Oinsert(X0,X1,X2))),
% 61.74/8.27 inference(resolution,[status(thm)],[f1051,f1948])).
% 61.74/8.27 fof(f3016,plain,(
% 61.74/8.27 ![X0,X1,X2,X3]: (~c_Set_Oinsert(X0,X1,X2)=c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)))),
% 61.74/8.27 inference(paramodulation,[status(thm)],[f2775,f599])).
% 61.74/8.27 fof(f7144,plain,(
% 61.74/8.27 ![X0,X1,X2,X3,X4]: (hBOOL(hAPP(c_Set_Oinsert(X0,c_Set_Oinsert(X1,X2,X3),X4),X1)))),
% 61.74/8.27 inference(resolution,[status(thm)],[f1086,f1134])).
% 61.74/8.27 fof(f11556,plain,(
% 61.74/8.27 c_Event_OinitState(c_Message_Oagent_OServer)=c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,hAPP(c_Message_OinvKey,hAPP(c_Public_OpublicKey(c_Public_Okeymode_OEncryption),c_Message_Oagent_OServer))),c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,hAPP(c_Message_OinvKey,hAPP(c_Public_OpublicKey(c_Public_Okeymode_OSignature),c_Message_Oagent_OServer))),c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg),tc_Message_Omsg),c_Set_Oimage(c_Message_Omsg_OKey,c_Set_Oimage(c_Public_OpublicKey(c_Public_Okeymode_OEncryption),c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_nat,tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,c_Set_Oimage(c_Public_OpublicKey(c_Public_Okeymode_OSignature),c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_nat,tc_Message_Omsg),c_Set_Oimage(c_Message_Omsg_OKey,c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_nat,tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool))),
% 61.74/8.27 inference(forward_demodulation,[status(thm)],[f657,f740])).
% 61.74/8.27 fof(f11557,plain,(
% 61.74/8.27 c_Event_OinitState(c_Message_Oagent_OServer)=c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,hAPP(c_Message_OinvKey,hAPP(c_Public_OpublicKey(c_Public_Okeymode_OEncryption),c_Message_Oagent_OServer))),c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,hAPP(c_Message_OinvKey,hAPP(c_Public_OpublicKey(c_Public_Okeymode_OSignature),c_Message_Oagent_OServer))),c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg),tc_Message_Omsg),c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,c_Set_Oimage(c_Public_OpublicKey(c_Public_Okeymode_OEncryption),c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_nat,tc_Message_Omsg),c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,c_Set_Oimage(c_Public_OpublicKey(c_Public_Okeymode_OSignature),c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_nat,tc_Message_Omsg),c_Set_Oimage(c_Message_Omsg_OKey,c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_nat,tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool))),
% 61.74/8.27 inference(forward_demodulation,[status(thm)],[f657,f11556])).
% 61.74/8.27 fof(f11558,plain,(
% 61.74/8.27 c_Event_OinitState(c_Message_Oagent_OServer)=c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,hAPP(c_Message_OinvKey,hAPP(c_Public_OpublicKey(c_Public_Okeymode_OEncryption),c_Message_Oagent_OServer))),c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,hAPP(c_Message_OinvKey,hAPP(c_Public_OpublicKey(c_Public_Okeymode_OSignature),c_Message_Oagent_OServer))),c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg),c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,c_Set_Oimage(c_Public_OpublicKey(c_Public_Okeymode_OEncryption),c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_nat,tc_Message_Omsg),c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,c_Set_Oimage(c_Public_OpublicKey(c_Public_Okeymode_OSignature),c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_nat,tc_Message_Omsg),c_Set_Oimage(c_Message_Omsg_OKey,c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_nat,tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),
% 61.74/8.27 inference(forward_demodulation,[status(thm)],[f641,f11557])).
% 61.74/8.27 fof(f11559,plain,(
% 61.74/8.27 c_Event_OinitState(c_Message_Oagent_OServer)=c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,hAPP(c_Message_OinvKey,hAPP(c_Public_OpublicKey(c_Public_Okeymode_OEncryption),c_Message_Oagent_OServer))),c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,hAPP(c_Message_OinvKey,hAPP(c_Public_OpublicKey(c_Public_Okeymode_OSignature),c_Message_Oagent_OServer))),c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,c_Set_Oimage(c_Public_OpublicKey(c_Public_Okeymode_OEncryption),c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_nat,tc_Message_Omsg),c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,c_Set_Oimage(c_Public_OpublicKey(c_Public_Okeymode_OSignature),c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_nat,tc_Message_Omsg),c_Set_Oimage(c_Message_Omsg_OKey,c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_nat,tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg),tc_Message_Omsg)),
% 61.74/8.27 inference(forward_demodulation,[status(thm)],[f641,f11558])).
% 61.74/8.27 fof(f11560,plain,(
% 61.74/8.27 c_Event_OinitState(c_Message_Oagent_OServer)=c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,hAPP(c_Message_OinvKey,hAPP(c_Public_OpublicKey(c_Public_Okeymode_OEncryption),c_Message_Oagent_OServer))),c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,hAPP(c_Message_OinvKey,hAPP(c_Public_OpublicKey(c_Public_Okeymode_OSignature),c_Message_Oagent_OServer))),c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,c_Set_Oimage(c_Public_OpublicKey(c_Public_Okeymode_OEncryption),c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_nat,tc_Message_Omsg),c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,c_Set_Oimage(c_Public_OpublicKey(c_Public_Okeymode_OSignature),c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_nat,tc_Message_Omsg),c_Set_Oimage(c_Message_Omsg_OKey,c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_nat,tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg),tc_Message_Omsg)),
% 61.74/8.27 inference(forward_demodulation,[status(thm)],[f604,f11559])).
% 61.74/8.27 fof(f11561,plain,(
% 61.74/8.27 c_Event_OinitState(c_Message_Oagent_OServer)=c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,hAPP(c_Message_OinvKey,hAPP(c_Public_OpublicKey(c_Public_Okeymode_OEncryption),c_Message_Oagent_OServer))),c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,hAPP(c_Message_OinvKey,hAPP(c_Public_OpublicKey(c_Public_Okeymode_OSignature),c_Message_Oagent_OServer))),c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,c_Set_Oimage(c_Public_OpublicKey(c_Public_Okeymode_OSignature),c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_nat,tc_Message_Omsg),c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,c_Set_Oimage(c_Public_OpublicKey(c_Public_Okeymode_OEncryption),c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_nat,tc_Message_Omsg),c_Set_Oimage(c_Message_Omsg_OKey,c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_nat,tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg),tc_Message_Omsg)),
% 61.74/8.27 inference(forward_demodulation,[status(thm)],[f656,f11560])).
% 61.74/8.27 fof(f11562,plain,(
% 61.74/8.27 c_Event_OinitState(c_Message_Oagent_OServer)=c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,hAPP(c_Message_OinvKey,hAPP(c_Public_OpublicKey(c_Public_Okeymode_OEncryption),c_Message_Oagent_OServer))),c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,hAPP(c_Message_OinvKey,hAPP(c_Public_OpublicKey(c_Public_Okeymode_OSignature),c_Message_Oagent_OServer))),c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,c_Set_Oimage(c_Public_OpublicKey(c_Public_Okeymode_OSignature),c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_nat,tc_Message_Omsg),c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_nat,tc_Message_Omsg),c_Set_Oimage(c_Message_Omsg_OKey,c_Set_Oimage(c_Public_OpublicKey(c_Public_Okeymode_OEncryption),c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_nat,tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg),tc_Message_Omsg)),
% 61.74/8.27 inference(forward_demodulation,[status(thm)],[f689,f11561])).
% 61.74/8.27 fof(f11563,plain,(
% 61.74/8.27 c_Event_OinitState(c_Message_Oagent_OServer)=c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,hAPP(c_Message_OinvKey,hAPP(c_Public_OpublicKey(c_Public_Okeymode_OEncryption),c_Message_Oagent_OServer))),c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,hAPP(c_Message_OinvKey,hAPP(c_Public_OpublicKey(c_Public_Okeymode_OSignature),c_Message_Oagent_OServer))),c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_nat,tc_Message_Omsg),c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,c_Set_Oimage(c_Public_OpublicKey(c_Public_Okeymode_OSignature),c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_nat,tc_Message_Omsg),c_Set_Oimage(c_Message_Omsg_OKey,c_Set_Oimage(c_Public_OpublicKey(c_Public_Okeymode_OEncryption),c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_nat,tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg),tc_Message_Omsg)),
% 42.97/8.40 inference(forward_demodulation,[status(thm)],[f656,f11562])).
% 42.97/8.40 fof(f11605,plain,(
% 42.97/8.40 ![X0]: (~c_Event_OinitState(c_Message_Oagent_OServer)=c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)))),
% 42.97/8.40 inference(paramodulation,[status(thm)],[f11563,f3016])).
% 42.97/8.40 fof(f76251,plain,(
% 42.97/8.40 ![X0,X1,X2,X3]: (hBOOL(hAPP(c_Set_Oinsert(c_Public_Okeymode_OEncryption,c_Set_Oinsert(c_Public_Okeymode_OSignature,X0,X1),X2),X3)))),
% 42.97/8.40 inference(resolution,[status(thm)],[f2260,f7144])).
% 42.97/8.40 fof(f76678,plain,(
% 42.97/8.40 ![X0,X1,X2]: (hBOOL(hAPP(c_Set_Oinsert(c_Public_Okeymode_OSignature,X0,X1),X2))|c_Public_Okeymode_OEncryption=X2)),
% 42.97/8.40 inference(resolution,[status(thm)],[f76251,f1113])).
% 42.97/8.40 fof(f76707,plain,(
% 42.97/8.40 ![X0,X1]: (c_Public_Okeymode_OEncryption=X0|hBOOL(hAPP(X1,X0))|c_Public_Okeymode_OSignature=X0)),
% 42.97/8.40 inference(resolution,[status(thm)],[f76678,f1113])).
% 42.97/8.40 fof(f76739,plain,(
% 42.97/8.40 ![X0]: (c_Public_Okeymode_OEncryption=X0|c_Public_Okeymode_OSignature=X0)),
% 42.97/8.40 inference(resolution,[status(thm)],[f76707,f607])).
% 42.97/8.40 fof(f76770,plain,(
% 42.97/8.40 ![X0,X1]: (c_Public_Okeymode_OSignature=c_List_Olist_OCons(X0,c_Public_Okeymode_OEncryption,X1))),
% 42.97/8.40 inference(resolution,[status(thm)],[f76739,f1074])).
% 42.97/8.40 fof(f76778,plain,(
% 42.97/8.40 ![X0,X1]: (X0=X1|c_Public_Okeymode_OSignature=X1|c_Public_Okeymode_OSignature=X0)),
% 42.97/8.40 inference(paramodulation,[status(thm)],[f76739,f76739])).
% 42.97/8.40 fof(f76895,plain,(
% 42.97/8.40 ![X0]: (~c_Public_Okeymode_OSignature=c_List_Olist_ONil(X0))),
% 42.97/8.40 inference(paramodulation,[status(thm)],[f76770,f1080])).
% 42.97/8.40 fof(f76972,plain,(
% 42.97/8.40 ![X0,X1,X2]: (c_Public_Okeymode_OSignature=c_List_Olist_ONil(X0)|c_Public_Okeymode_OSignature=c_List_Olist_OCons(X1,X2,X0))),
% 42.97/8.40 inference(resolution,[status(thm)],[f76778,f1080])).
% 42.97/8.40 fof(f77187,plain,(
% 42.97/8.40 ![X0,X1,X2]: (c_Public_Okeymode_OSignature=c_List_Olist_OCons(X0,X1,X2))),
% 42.97/8.40 inference(forward_subsumption_resolution,[status(thm)],[f76972,f76895])).
% 42.97/8.40 fof(f77320,plain,(
% 42.97/8.40 ![X0,X1,X2,X3]: (~c_List_Olist_OCons(X0,X1,X2)=c_Public_Okeymode_OSignature|X1=X3)),
% 42.97/8.40 inference(backward_demodulation,[status(thm)],[f77187,f1143])).
% 42.97/8.40 fof(f77361,plain,(
% 42.97/8.40 ![X0,X1]: (~c_Public_Okeymode_OSignature=c_Public_Okeymode_OSignature|X0=X1)),
% 42.97/8.40 inference(forward_demodulation,[status(thm)],[f77187,f77320])).
% 42.97/8.40 fof(f77362,plain,(
% 42.97/8.40 ![X0,X1]: (X0=X1)),
% 42.97/8.40 inference(trivial_equality_resolution,[status(thm)],[f77361])).
% 42.97/8.40 fof(f77367,plain,(
% 42.97/8.40 $false),
% 42.97/8.40 inference(backward_subsumption_resolution,[status(thm)],[f11605,f77362])).
% 42.97/8.40 % SZS output end CNFRefutation for theBenchmark.p
% 8.00/8.43 % Elapsed time: 8.036483 seconds
% 8.00/8.43 % CPU time: 62.951230 seconds
% 8.00/8.43 % Total memory used: 1.075 GB
% 8.00/8.43 % Net memory used: 1.050 GB
%------------------------------------------------------------------------------