TSTP Solution File: SWV729-1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SWV729-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n009.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 : Wed May 31 12:43:54 EDT 2023
% Result : Unsatisfiable 165.47s 21.26s
% Output : CNFRefutation 167.35s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : SWV729-1 : TPTP v8.1.2. Released v4.1.0.
% 0.00/0.11 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.31 % Computer : n009.cluster.edu
% 0.09/0.31 % Model : x86_64 x86_64
% 0.09/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.31 % Memory : 8042.1875MB
% 0.09/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.31 % CPULimit : 300
% 0.09/0.31 % WCLimit : 300
% 0.09/0.31 % DateTime : Tue May 30 11:41:31 EDT 2023
% 0.09/0.31 % CPUTime :
% 0.14/0.34 % Drodi V3.5.1
% 165.47/21.26 % Refutation found
% 165.47/21.26 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 165.47/21.26 % SZS output start CNFRefutation for theBenchmark
% 165.47/21.26 fof(f2,axiom,(
% 165.47/21.26 (![V_nat]: (c_Message_Oagent_OFriend(V_nat) != c_Message_Oagent_OSpy ))),
% 165.47/21.26 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 165.47/21.26 fof(f25,axiom,(
% 165.47/21.26 (![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)) ) ))),
% 165.47/21.26 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 165.47/21.26 fof(f28,axiom,(
% 165.47/21.26 (![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)) ))),
% 165.47/21.26 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 165.47/21.26 fof(f34,axiom,(
% 165.47/21.26 (![T_a,V_x]: (~ hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_x)) ))),
% 165.47/21.26 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 165.47/21.26 fof(f143,axiom,(
% 165.47/21.26 (![V_H]: (c_lessequals(V_H,c_Message_Oanalz(V_H),tc_fun(tc_Message_Omsg,tc_bool)) ))),
% 165.47/21.26 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 165.47/21.26 fof(f197,axiom,(
% 165.47/21.26 (![V_x,V_B,T_a,V_A]: (( hBOOL(c_in(V_x,V_B,T_a))| ~ c_lessequals(c_Set_Oinsert(V_x,V_A,T_a),V_B,tc_fun(T_a,tc_bool)) ) ))),
% 165.47/21.26 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 165.47/21.26 fof(f236,axiom,(
% 165.47/21.26 (![V_evs]: (~ hBOOL(c_in(c_Message_Omsg_ONonce(c_Public_Osko__Public__XNonce__supply1__1__1(V_evs)),c_Event_Oused(V_evs),tc_Message_Omsg)) ))),
% 165.47/21.26 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 165.47/21.26 fof(f342,axiom,(
% 165.47/21.26 (![V_X,V_H]: (( hBOOL(c_in(V_X,c_Message_Osynth(V_H),tc_Message_Omsg))| ~ hBOOL(c_in(V_X,V_H,tc_Message_Omsg)) ) ))),
% 165.47/21.26 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 165.47/21.26 fof(f349,axiom,(
% 165.47/21.26 (![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)) ) ))),
% 165.47/21.26 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 165.47/21.26 fof(f363,axiom,(
% 165.47/21.26 (![V_n,V_H]: (( hBOOL(c_in(c_Message_Omsg_ONonce(V_n),V_H,tc_Message_Omsg))| ~ hBOOL(c_in(c_Message_Omsg_ONonce(V_n),c_Message_Osynth(V_H),tc_Message_Omsg)) ) ))),
% 165.47/21.26 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 165.47/21.26 fof(f377,axiom,(
% 165.47/21.26 (![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)) ) ))),
% 165.47/21.26 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 165.47/21.26 fof(f398,axiom,(
% 165.47/21.26 (![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)) ) ))),
% 165.47/21.26 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 165.47/21.26 fof(f408,axiom,(
% 165.47/21.26 (![T_a,V_x]: (hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),V_x)) ))),
% 165.47/21.26 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 165.47/21.26 fof(f415,axiom,(
% 165.47/21.26 (![V_x,V_A,T_a]: (hBOOL(hAPP(c_Set_Oinsert(V_x,V_A,T_a),V_x)) ))),
% 165.47/21.26 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 165.47/21.26 fof(f432,axiom,(
% 165.47/21.26 (![V_X]: (hBOOL(c_in(hAPP(c_Public_OshrK,V_X),c_Message_OsymKeys,tc_nat)) ))),
% 165.47/21.26 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 165.47/21.26 fof(f488,axiom,(
% 165.47/21.26 (![V_agent,V_agent_H]: (( c_Message_Omsg_OAgent(V_agent) != c_Message_Omsg_OAgent(V_agent_H)| V_agent = V_agent_H ) ))),
% 165.47/21.26 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 165.47/21.26 fof(f514,axiom,(
% 165.47/21.26 (![V_agent,V_nat_H,V_msg_H]: (c_Message_Omsg_OAgent(V_agent) != c_Message_Omsg_OCrypt(V_nat_H,V_msg_H) ))),
% 165.47/21.26 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 165.47/21.26 fof(f519,axiom,(
% 165.47/21.26 (![V_x,V_S,T_a]: (( hBOOL(c_in(V_x,V_S,T_a))| ~ hBOOL(hAPP(V_S,V_x)) ) ))),
% 165.47/21.26 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 165.47/21.26 fof(f520,axiom,(
% 165.47/21.26 (![V_S,V_x,T_a]: (( hBOOL(hAPP(V_S,V_x))| ~ hBOOL(c_in(V_x,V_S,T_a)) ) ))),
% 165.47/21.26 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 165.47/21.26 fof(f521,axiom,(
% 165.47/21.26 (![V_nat,V_msg,V_nat_H,V_msg_H]: (( c_Message_Omsg_OCrypt(V_nat,V_msg) != c_Message_Omsg_OCrypt(V_nat_H,V_msg_H)| V_nat = V_nat_H ) ))),
% 165.47/21.26 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 165.47/21.26 fof(f528,axiom,(
% 165.47/21.26 (![V_nat,V_msg1_H,V_msg2_H]: (hAPP(c_Message_Omsg_OKey,V_nat) != c_Message_Omsg_OMPair(V_msg1_H,V_msg2_H) ))),
% 165.47/21.26 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 165.47/21.26 fof(f563,plain,(
% 165.47/21.26 ![X0]: (~c_Message_Oagent_OFriend(X0)=c_Message_Oagent_OSpy)),
% 165.47/21.28 inference(cnf_transformation,[status(esa)],[f2])).
% 165.47/21.28 fof(f594,plain,(
% 165.47/21.28 ![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)))),
% 165.47/21.28 inference(miniscoping,[status(esa)],[f25])).
% 165.47/21.28 fof(f595,plain,(
% 165.47/21.28 ![X0,X1]: (hBOOL(hAPP(X0,X1))|~hBOOL(hAPP(X0,c_Public_Okeymode_OEncryption))|~hBOOL(hAPP(X0,c_Public_Okeymode_OSignature)))),
% 165.47/21.28 inference(cnf_transformation,[status(esa)],[f594])).
% 165.47/21.28 fof(f599,plain,(
% 165.47/21.28 ![X0,X1,X2]: (~c_Set_Oinsert(X0,X1,X2)=c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)))),
% 165.47/21.28 inference(cnf_transformation,[status(esa)],[f28])).
% 165.47/21.28 fof(f607,plain,(
% 165.47/21.28 ![X0,X1]: (~hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)),X1)))),
% 165.47/21.28 inference(cnf_transformation,[status(esa)],[f34])).
% 165.47/21.28 fof(f760,plain,(
% 165.47/21.28 ![X0]: (c_lessequals(X0,c_Message_Oanalz(X0),tc_fun(tc_Message_Omsg,tc_bool)))),
% 165.47/21.28 inference(cnf_transformation,[status(esa)],[f143])).
% 165.47/21.28 fof(f839,plain,(
% 165.47/21.28 ![V_x,V_B,T_a]: (hBOOL(c_in(V_x,V_B,T_a))|(![V_A]: ~c_lessequals(c_Set_Oinsert(V_x,V_A,T_a),V_B,tc_fun(T_a,tc_bool))))),
% 165.47/21.28 inference(miniscoping,[status(esa)],[f197])).
% 165.47/21.28 fof(f840,plain,(
% 165.47/21.28 ![X0,X1,X2,X3]: (hBOOL(c_in(X0,X1,X2))|~c_lessequals(c_Set_Oinsert(X0,X3,X2),X1,tc_fun(X2,tc_bool)))),
% 165.47/21.28 inference(cnf_transformation,[status(esa)],[f839])).
% 165.47/21.28 fof(f888,plain,(
% 165.47/21.28 ![X0]: (~hBOOL(c_in(c_Message_Omsg_ONonce(c_Public_Osko__Public__XNonce__supply1__1__1(X0)),c_Event_Oused(X0),tc_Message_Omsg)))),
% 165.47/21.28 inference(cnf_transformation,[status(esa)],[f236])).
% 165.47/21.28 fof(f1040,plain,(
% 165.47/21.28 ![X0,X1]: (hBOOL(c_in(X0,c_Message_Osynth(X1),tc_Message_Omsg))|~hBOOL(c_in(X0,X1,tc_Message_Omsg)))),
% 165.47/21.28 inference(cnf_transformation,[status(esa)],[f342])).
% 165.47/21.28 fof(f1051,plain,(
% 165.47/21.28 ![X0,X1,X2]: (c_Set_Oinsert(X0,X1,X2)=X1|~hBOOL(c_in(X0,X1,X2)))),
% 165.47/21.28 inference(cnf_transformation,[status(esa)],[f349])).
% 165.47/21.28 fof(f1069,plain,(
% 165.47/21.28 ![X0,X1]: (hBOOL(c_in(c_Message_Omsg_ONonce(X0),X1,tc_Message_Omsg))|~hBOOL(c_in(c_Message_Omsg_ONonce(X0),c_Message_Osynth(X1),tc_Message_Omsg)))),
% 165.47/21.28 inference(cnf_transformation,[status(esa)],[f363])).
% 165.47/21.28 fof(f1085,plain,(
% 165.47/21.28 ![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)))),
% 165.47/21.28 inference(miniscoping,[status(esa)],[f377])).
% 165.47/21.28 fof(f1086,plain,(
% 165.47/21.28 ![X0,X1,X2,X3]: (hBOOL(hAPP(c_Set_Oinsert(X0,X1,X2),X3))|~hBOOL(hAPP(X1,X3)))),
% 165.47/21.28 inference(cnf_transformation,[status(esa)],[f1085])).
% 165.47/21.28 fof(f1112,plain,(
% 165.47/21.28 ![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))))),
% 165.47/21.28 inference(miniscoping,[status(esa)],[f398])).
% 165.47/21.28 fof(f1113,plain,(
% 165.47/21.28 ![X0,X1,X2,X3]: (hBOOL(hAPP(X0,X1))|X2=X1|~hBOOL(hAPP(c_Set_Oinsert(X2,X0,X3),X1)))),
% 165.47/21.28 inference(cnf_transformation,[status(esa)],[f1112])).
% 165.47/21.28 fof(f1125,plain,(
% 165.47/21.28 ![X0,X1]: (hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_fun(X0,tc_bool)),X1)))),
% 165.47/21.28 inference(cnf_transformation,[status(esa)],[f408])).
% 165.47/21.28 fof(f1134,plain,(
% 165.47/21.28 ![X0,X1,X2]: (hBOOL(hAPP(c_Set_Oinsert(X0,X1,X2),X0)))),
% 165.47/21.28 inference(cnf_transformation,[status(esa)],[f415])).
% 165.47/21.28 fof(f1155,plain,(
% 165.47/21.28 ![X0]: (hBOOL(c_in(hAPP(c_Public_OshrK,X0),c_Message_OsymKeys,tc_nat)))),
% 165.47/21.28 inference(cnf_transformation,[status(esa)],[f432])).
% 165.47/21.28 fof(f1234,plain,(
% 165.47/21.28 ![X0,X1]: (~c_Message_Omsg_OAgent(X0)=c_Message_Omsg_OAgent(X1)|X0=X1)),
% 165.47/21.28 inference(cnf_transformation,[status(esa)],[f488])).
% 165.47/21.28 fof(f1275,plain,(
% 165.47/21.28 ![X0,X1,X2]: (~c_Message_Omsg_OAgent(X0)=c_Message_Omsg_OCrypt(X1,X2))),
% 165.47/21.28 inference(cnf_transformation,[status(esa)],[f514])).
% 165.47/21.28 fof(f1280,plain,(
% 165.47/21.28 ![V_x,V_S]: ((![T_a]: hBOOL(c_in(V_x,V_S,T_a)))|~hBOOL(hAPP(V_S,V_x)))),
% 165.47/21.28 inference(miniscoping,[status(esa)],[f519])).
% 165.47/21.28 fof(f1281,plain,(
% 165.47/21.28 ![X0,X1,X2]: (hBOOL(c_in(X0,X1,X2))|~hBOOL(hAPP(X1,X0)))),
% 165.47/21.28 inference(cnf_transformation,[status(esa)],[f1280])).
% 165.47/21.28 fof(f1282,plain,(
% 165.47/21.28 ![V_S,V_x]: (hBOOL(hAPP(V_S,V_x))|(![T_a]: ~hBOOL(c_in(V_x,V_S,T_a))))),
% 165.47/21.28 inference(miniscoping,[status(esa)],[f520])).
% 165.47/21.28 fof(f1283,plain,(
% 165.47/21.28 ![X0,X1,X2]: (hBOOL(hAPP(X0,X1))|~hBOOL(c_in(X1,X0,X2)))),
% 165.47/21.28 inference(cnf_transformation,[status(esa)],[f1282])).
% 165.47/21.28 fof(f1284,plain,(
% 165.47/21.28 ![V_nat,V_nat_H]: ((![V_msg,V_msg_H]: ~c_Message_Omsg_OCrypt(V_nat,V_msg)=c_Message_Omsg_OCrypt(V_nat_H,V_msg_H))|V_nat=V_nat_H)),
% 165.47/21.28 inference(miniscoping,[status(esa)],[f521])).
% 165.47/21.28 fof(f1285,plain,(
% 165.47/21.28 ![X0,X1,X2,X3]: (~c_Message_Omsg_OCrypt(X0,X1)=c_Message_Omsg_OCrypt(X2,X3)|X0=X2)),
% 165.47/21.28 inference(cnf_transformation,[status(esa)],[f1284])).
% 165.47/21.28 fof(f1296,plain,(
% 165.47/21.28 ![X0,X1,X2]: (~hAPP(c_Message_Omsg_OKey,X0)=c_Message_Omsg_OMPair(X1,X2))),
% 165.47/21.28 inference(cnf_transformation,[status(esa)],[f528])).
% 165.47/21.28 fof(f4237,plain,(
% 165.47/21.28 ![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)))),
% 165.47/21.28 inference(resolution,[status(thm)],[f1134,f595])).
% 165.47/21.28 fof(f4240,plain,(
% 165.47/21.28 ![X0,X1,X2,X3]: (hBOOL(c_in(X0,c_Set_Oinsert(X0,X1,X2),X3)))),
% 165.47/21.28 inference(resolution,[status(thm)],[f1134,f1281])).
% 165.47/21.28 fof(f6049,plain,(
% 165.47/21.28 ![X0,X1,X2]: (hBOOL(c_in(X0,c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X2)))),
% 165.47/21.28 inference(resolution,[status(thm)],[f1125,f1281])).
% 165.47/21.28 fof(f6247,plain,(
% 165.47/21.28 ![X0,X1,X2,X3]: (c_Set_Oinsert(X0,c_Set_Oinsert(X0,X1,X2),X3)=c_Set_Oinsert(X0,X1,X2))),
% 165.47/21.28 inference(resolution,[status(thm)],[f1051,f4240])).
% 165.47/21.28 fof(f6376,plain,(
% 165.47/21.28 ![X0]: (hBOOL(hAPP(c_Message_OsymKeys,hAPP(c_Public_OshrK,X0))))),
% 165.47/21.28 inference(resolution,[status(thm)],[f1155,f1283])).
% 165.47/21.28 fof(f6381,plain,(
% 165.47/21.28 ![X0,X1]: (hBOOL(c_in(hAPP(c_Public_OshrK,X0),c_Message_OsymKeys,X1)))),
% 165.47/21.28 inference(resolution,[status(thm)],[f6376,f1281])).
% 165.47/21.28 fof(f6396,plain,(
% 165.47/21.28 ![X0,X1]: (c_Set_Oinsert(hAPP(c_Public_OshrK,X0),c_Message_OsymKeys,X1)=c_Message_OsymKeys)),
% 165.47/21.28 inference(resolution,[status(thm)],[f6381,f1051])).
% 165.47/21.28 fof(f7349,plain,(
% 165.47/21.28 ![X0,X1,X2,X3]: (~c_Set_Oinsert(X0,X1,X2)=c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)))),
% 165.47/21.28 inference(paramodulation,[status(thm)],[f6247,f599])).
% 165.47/21.28 fof(f14192,plain,(
% 165.47/21.28 ![X0,X1,X2,X3,X4]: (hBOOL(hAPP(c_Set_Oinsert(X0,c_Set_Oinsert(X1,X2,X3),X4),X1)))),
% 165.47/21.28 inference(resolution,[status(thm)],[f1086,f1134])).
% 165.47/21.28 fof(f23373,plain,(
% 165.47/21.28 ![X0,X1]: (hBOOL(c_in(X0,c_Message_Oanalz(c_Set_Oinsert(X0,X1,tc_Message_Omsg)),tc_Message_Omsg)))),
% 165.47/21.28 inference(resolution,[status(thm)],[f840,f760])).
% 165.47/21.28 fof(f33796,plain,(
% 165.47/21.28 ![X0,X1]: (hBOOL(hAPP(c_Message_Oanalz(c_Set_Oinsert(X0,X1,tc_Message_Omsg)),X0)))),
% 165.47/21.28 inference(resolution,[status(thm)],[f23373,f1283])).
% 165.47/21.28 fof(f33920,plain,(
% 165.47/21.28 ![X0]: (hBOOL(hAPP(c_Message_Oanalz(c_Message_OsymKeys),hAPP(c_Public_OshrK,X0))))),
% 165.47/21.28 inference(paramodulation,[status(thm)],[f6396,f33796])).
% 165.47/21.28 fof(f34461,plain,(
% 165.47/21.28 ![X0,X1]: (hBOOL(c_in(hAPP(c_Public_OshrK,X0),c_Message_Oanalz(c_Message_OsymKeys),X1)))),
% 165.47/21.28 inference(resolution,[status(thm)],[f33920,f1281])).
% 165.47/21.28 fof(f35323,plain,(
% 165.47/21.28 ![X0,X1]: (c_Set_Oinsert(hAPP(c_Public_OshrK,X0),c_Message_Oanalz(c_Message_OsymKeys),X1)=c_Message_Oanalz(c_Message_OsymKeys))),
% 165.47/21.28 inference(resolution,[status(thm)],[f34461,f1051])).
% 165.47/21.28 fof(f41782,plain,(
% 165.47/21.28 ![X0]: (~c_Message_Oanalz(c_Message_OsymKeys)=c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)))),
% 165.47/21.28 inference(paramodulation,[status(thm)],[f35323,f7349])).
% 165.47/21.28 fof(f46042,plain,(
% 165.47/21.28 ![X0,X1]: (hBOOL(c_in(X0,c_Message_Osynth(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool))),tc_Message_Omsg)))),
% 165.47/21.28 inference(resolution,[status(thm)],[f1040,f6049])).
% 165.47/21.28 fof(f48127,plain,(
% 165.47/21.28 ![X0,X1]: (hBOOL(hAPP(c_Message_Osynth(c_Orderings_Otop__class_Otop(tc_fun(X0,tc_bool))),X1)))),
% 165.47/21.28 inference(resolution,[status(thm)],[f46042,f1283])).
% 165.47/21.28 fof(f48146,plain,(
% 165.47/21.28 ![X0,X1,X2]: (hBOOL(c_in(X0,c_Message_Osynth(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool))),X2)))),
% 165.47/21.28 inference(resolution,[status(thm)],[f48127,f1281])).
% 165.47/21.28 fof(f86602,plain,(
% 165.47/21.28 ![X0,X1,X2,X3]: (hBOOL(hAPP(c_Set_Oinsert(c_Public_Okeymode_OEncryption,c_Set_Oinsert(c_Public_Okeymode_OSignature,X0,X1),X2),X3)))),
% 165.47/21.28 inference(resolution,[status(thm)],[f4237,f14192])).
% 165.47/21.28 fof(f88435,plain,(
% 165.47/21.28 ![X0,X1,X2]: (hBOOL(hAPP(c_Set_Oinsert(c_Public_Okeymode_OSignature,X0,X1),X2))|c_Public_Okeymode_OEncryption=X2)),
% 165.47/21.28 inference(resolution,[status(thm)],[f86602,f1113])).
% 165.47/21.28 fof(f88463,plain,(
% 165.47/21.28 ![X0,X1]: (c_Public_Okeymode_OEncryption=X0|hBOOL(hAPP(X1,X0))|c_Public_Okeymode_OSignature=X0)),
% 165.47/21.28 inference(resolution,[status(thm)],[f88435,f1113])).
% 165.47/21.28 fof(f88508,plain,(
% 165.47/21.28 spl0_586 <=> c_Public_Okeymode_OEncryption=c_Public_Okeymode_OEncryption),
% 165.47/21.28 introduced(split_symbol_definition)).
% 165.47/21.28 fof(f88510,plain,(
% 165.47/21.28 ~c_Public_Okeymode_OEncryption=c_Public_Okeymode_OEncryption|spl0_586),
% 165.47/21.28 inference(component_clause,[status(thm)],[f88508])).
% 165.47/21.28 fof(f88676,plain,(
% 165.47/21.28 ![X0]: (c_Public_Okeymode_OEncryption=X0|c_Public_Okeymode_OSignature=X0)),
% 165.47/21.28 inference(resolution,[status(thm)],[f88463,f607])).
% 165.47/21.28 fof(f91312,plain,(
% 165.47/21.28 spl0_662 <=> hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),c_Public_Okeymode_OSignature))),
% 165.47/21.28 introduced(split_symbol_definition)).
% 165.47/21.28 fof(f91313,plain,(
% 165.47/21.28 hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),c_Public_Okeymode_OSignature))|~spl0_662),
% 165.47/21.28 inference(component_clause,[status(thm)],[f91312])).
% 165.47/21.28 fof(f92623,plain,(
% 165.47/21.28 $false|spl0_586),
% 165.47/21.28 inference(trivial_equality_resolution,[status(esa)],[f88510])).
% 165.47/21.28 fof(f92624,plain,(
% 165.47/21.28 spl0_586),
% 165.47/21.28 inference(contradiction_clause,[status(thm)],[f92623])).
% 165.47/21.28 fof(f93153,plain,(
% 165.47/21.28 spl0_889 <=> c_Public_Okeymode_OSignature=c_Message_Omsg_OAgent(X0)),
% 165.47/21.28 introduced(split_symbol_definition)).
% 165.47/21.28 fof(f93154,plain,(
% 165.47/21.28 ![X0]: (c_Public_Okeymode_OSignature=c_Message_Omsg_OAgent(X0)|~spl0_889)),
% 165.47/21.28 inference(component_clause,[status(thm)],[f93153])).
% 165.47/21.28 fof(f98245,plain,(
% 165.47/21.28 ![X0,X1]: (~c_Message_Omsg_OAgent(X0)=c_Public_Okeymode_OSignature|X0=X1|~spl0_889)),
% 165.47/21.28 inference(backward_demodulation,[status(thm)],[f93154,f1234])).
% 165.47/21.28 fof(f98246,plain,(
% 165.47/21.28 ![X0,X1]: (~c_Public_Okeymode_OSignature=c_Public_Okeymode_OSignature|X0=X1|~spl0_889)),
% 165.47/21.28 inference(forward_demodulation,[status(thm)],[f93154,f98245])).
% 165.47/21.28 fof(f98247,plain,(
% 165.47/21.28 ![X0,X1]: (X0=X1|~spl0_889)),
% 165.47/21.28 inference(trivial_equality_resolution,[status(esa)],[f98246])).
% 165.47/21.28 fof(f98253,plain,(
% 165.47/21.28 $false|~spl0_889),
% 165.47/21.28 inference(backward_subsumption_resolution,[status(thm)],[f41782,f98247])).
% 165.47/21.28 fof(f98254,plain,(
% 165.47/21.28 ~spl0_889),
% 165.47/21.28 inference(contradiction_clause,[status(thm)],[f98253])).
% 165.47/21.28 fof(f108282,plain,(
% 165.47/21.28 spl0_1049 <=> c_Public_Okeymode_OSignature=c_Message_Osynth(X0)),
% 165.47/21.28 introduced(split_symbol_definition)).
% 165.47/21.28 fof(f108283,plain,(
% 165.47/21.28 ![X0]: (c_Public_Okeymode_OSignature=c_Message_Osynth(X0)|~spl0_1049)),
% 165.47/21.28 inference(component_clause,[status(thm)],[f108282])).
% 165.47/21.28 fof(f109397,plain,(
% 165.47/21.28 spl0_1100 <=> c_Public_Okeymode_OSignature=c_Message_Omsg_OCrypt(X1,X2)),
% 165.47/21.28 introduced(split_symbol_definition)).
% 165.47/21.28 fof(f109398,plain,(
% 165.47/21.28 ![X0,X1]: (c_Public_Okeymode_OSignature=c_Message_Omsg_OCrypt(X0,X1)|~spl0_1100)),
% 165.47/21.28 inference(component_clause,[status(thm)],[f109397])).
% 165.47/21.28 fof(f109402,plain,(
% 165.47/21.28 spl0_1101 <=> ~c_Message_Omsg_OCrypt(X0,X1)=c_Public_Okeymode_OEncryption),
% 165.47/21.28 introduced(split_symbol_definition)).
% 165.47/21.28 fof(f109403,plain,(
% 165.47/21.28 ![X0,X1]: (~c_Message_Omsg_OCrypt(X0,X1)=c_Public_Okeymode_OEncryption|~spl0_1101)),
% 165.47/21.28 inference(component_clause,[status(thm)],[f109402])).
% 165.47/21.28 fof(f109416,plain,(
% 165.47/21.28 ![X0,X1]: (~c_Public_Okeymode_OEncryption=c_Public_Okeymode_OEncryption|c_Public_Okeymode_OSignature=c_Message_Omsg_OCrypt(X0,X1)|~spl0_1101)),
% 165.47/21.28 inference(paramodulation,[status(thm)],[f88676,f109403])).
% 165.47/21.28 fof(f109417,plain,(
% 165.47/21.28 ~spl0_586|spl0_1100|~spl0_1101),
% 165.47/21.28 inference(split_clause,[status(thm)],[f109416,f88508,f109397,f109402])).
% 165.47/21.28 fof(f109431,plain,(
% 165.47/21.28 ![X0,X1,X2]: (~c_Message_Omsg_OCrypt(X0,X1)=c_Public_Okeymode_OSignature|X0=X2|~spl0_1100)),
% 165.47/21.28 inference(backward_demodulation,[status(thm)],[f109398,f1285])).
% 165.47/21.28 fof(f109432,plain,(
% 165.47/21.28 ![X0,X1]: (~c_Public_Okeymode_OSignature=c_Public_Okeymode_OSignature|X0=X1|~spl0_1100)),
% 165.47/21.28 inference(forward_demodulation,[status(thm)],[f109398,f109431])).
% 165.47/21.28 fof(f109433,plain,(
% 165.47/21.28 ![X0,X1]: (X0=X1|~spl0_1100)),
% 165.47/21.28 inference(trivial_equality_resolution,[status(esa)],[f109432])).
% 165.47/21.28 fof(f110742,plain,(
% 165.47/21.28 spl0_1104 <=> X0=X1),
% 165.47/21.28 introduced(split_symbol_definition)).
% 165.47/21.28 fof(f110743,plain,(
% 165.47/21.28 ![X0,X1]: (X0=X1|~spl0_1104)),
% 165.47/21.28 inference(component_clause,[status(thm)],[f110742])).
% 165.47/21.28 fof(f113817,plain,(
% 165.47/21.28 $false|~spl0_1100),
% 165.47/21.28 inference(backward_subsumption_resolution,[status(thm)],[f563,f109433])).
% 165.47/21.28 fof(f113818,plain,(
% 165.47/21.28 ~spl0_1100),
% 165.47/21.28 inference(contradiction_clause,[status(thm)],[f113817])).
% 165.47/21.28 fof(f116773,plain,(
% 167.35/21.56 $false|~spl0_662),
% 167.35/21.56 inference(forward_subsumption_resolution,[status(thm)],[f91313,f607])).
% 167.35/21.56 fof(f116774,plain,(
% 167.35/21.56 ~spl0_662),
% 167.35/21.56 inference(contradiction_clause,[status(thm)],[f116773])).
% 167.35/21.56 fof(f116961,plain,(
% 167.35/21.56 ![X0,X1]: (hBOOL(c_in(X0,c_Public_Okeymode_OSignature,X1))|~spl0_1049)),
% 167.35/21.56 inference(backward_demodulation,[status(thm)],[f108283,f48146])).
% 167.35/21.56 fof(f117132,plain,(
% 167.35/21.56 ![X0,X1]: (hBOOL(c_in(c_Message_Omsg_ONonce(X0),X1,tc_Message_Omsg))|~hBOOL(c_in(c_Message_Omsg_ONonce(X0),c_Public_Okeymode_OSignature,tc_Message_Omsg))|~spl0_1049)),
% 167.35/21.56 inference(backward_demodulation,[status(thm)],[f108283,f1069])).
% 167.35/21.56 fof(f117249,plain,(
% 167.35/21.56 $false|~spl0_1104),
% 167.35/21.56 inference(backward_subsumption_resolution,[status(thm)],[f1296,f110743])).
% 167.35/21.56 fof(f117250,plain,(
% 167.35/21.56 ~spl0_1104),
% 167.35/21.56 inference(contradiction_clause,[status(thm)],[f117249])).
% 167.35/21.56 fof(f119930,plain,(
% 167.35/21.56 ![X0,X1]: (hBOOL(c_in(c_Message_Omsg_ONonce(X0),X1,tc_Message_Omsg))|~spl0_1049)),
% 167.35/21.56 inference(forward_subsumption_resolution,[status(thm)],[f117132,f116961])).
% 167.35/21.56 fof(f119931,plain,(
% 167.35/21.56 $false|~spl0_1049),
% 167.35/21.56 inference(backward_subsumption_resolution,[status(thm)],[f888,f119930])).
% 167.35/21.56 fof(f119932,plain,(
% 167.35/21.56 ~spl0_1049),
% 167.35/21.56 inference(contradiction_clause,[status(thm)],[f119931])).
% 167.35/21.56 fof(f125326,plain,(
% 167.35/21.56 ![X0,X1,X2]: (~c_Public_Okeymode_OEncryption=c_Message_Omsg_OCrypt(X0,X1)|c_Public_Okeymode_OSignature=c_Message_Omsg_OAgent(X2))),
% 167.35/21.56 inference(paramodulation,[status(thm)],[f88676,f1275])).
% 167.35/21.56 fof(f125327,plain,(
% 167.35/21.56 spl0_1101|spl0_889),
% 167.35/21.56 inference(split_clause,[status(thm)],[f125326,f109402,f93153])).
% 167.35/21.56 fof(f125330,plain,(
% 167.35/21.56 $false),
% 167.35/21.56 inference(sat_refutation,[status(thm)],[f92624,f98254,f109417,f113818,f116774,f117250,f119932,f125327])).
% 167.35/21.56 % SZS output end CNFRefutation for theBenchmark.p
% 170.64/22.86 % Elapsed time: 22.332934 seconds
% 170.64/22.86 % CPU time: 155.276667 seconds
% 170.64/22.86 % Memory used: 1.501 GB
%------------------------------------------------------------------------------