TSTP Solution File: SWV335-1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SWV335-1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n013.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 12:41:23 EDT 2023
% Result : Unsatisfiable 31.41s 4.37s
% Output : CNFRefutation 31.41s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWV335-1 : TPTP v8.1.2. Released v3.2.0.
% 0.03/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.34 % Computer : n013.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Tue May 30 11:34:05 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.20/0.39 % Drodi V3.5.1
% 31.41/4.37 % Refutation found
% 31.41/4.37 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 31.41/4.37 % SZS output start CNFRefutation for theBenchmark
% 31.41/4.37 fof(f109,axiom,(
% 31.41/4.37 (![V_A,V_B,T_a]: (( c_in(c_Main_OsubsetI__1(V_A,V_B,T_a),V_A,T_a)| c_lessequals(V_A,V_B,tc_set(T_a)) ) ))),
% 31.41/4.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 31.41/4.37 fof(f110,axiom,(
% 31.41/4.37 (![V_A,V_B,T_a]: (( ~ c_in(c_Main_OsubsetI__1(V_A,V_B,T_a),V_B,T_a)| c_lessequals(V_A,V_B,tc_set(T_a)) ) ))),
% 31.41/4.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 31.41/4.37 fof(f111,axiom,(
% 31.41/4.37 (![V_B,V_A,T_a]: (( ~ c_lessequals(V_B,V_A,tc_set(T_a))| ~ c_lessequals(V_A,V_B,tc_set(T_a))| V_A = V_B ) ))),
% 31.41/4.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 31.41/4.37 fof(f1328,axiom,(
% 31.41/4.37 (![V_c,V_A,V_B,T_a]: (( ~ c_in(V_c,c_union(V_A,V_B,T_a),T_a)| c_in(V_c,V_B,T_a)| c_in(V_c,V_A,T_a) ) ))),
% 31.41/4.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 31.41/4.37 fof(f1333,axiom,(
% 31.41/4.37 (![V_a,T_a]: (~ c_in(V_a,c_emptyset,T_a) ))),
% 31.41/4.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 31.41/4.37 fof(f1359,axiom,(
% 31.41/4.37 c_in(c_Message_Oagent_OSpy,c_Event_Obad,tc_Message_Oagent) ),
% 31.41/4.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 31.41/4.37 fof(f1375,axiom,(
% 31.41/4.37 (![V_K,V_X,V_H]: (( ~ c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Osynth(V_H),tc_Message_Omsg)| c_in(V_X,c_Message_Osynth(V_H),tc_Message_Omsg)| c_in(c_Message_Omsg_OCrypt(V_K,V_X),V_H,tc_Message_Omsg) ) ))),
% 31.41/4.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 31.41/4.37 fof(f1404,axiom,(
% 31.41/4.37 (![V_X,V_Y,V_H]: (( ~ c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg)| c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg) ) ))),
% 31.41/4.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 31.41/4.37 fof(f1406,axiom,(
% 31.41/4.37 (![V_Y,V_H,V_X]: (( ~ c_in(V_Y,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg)| ~ c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg)| c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg) ) ))),
% 31.41/4.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 31.41/4.37 fof(f1407,axiom,(
% 31.41/4.37 (![V_n,V_H]: (( ~ c_in(c_Message_Omsg_ONonce(V_n),c_Message_Osynth(V_H),tc_Message_Omsg)| c_in(c_Message_Omsg_ONonce(V_n),V_H,tc_Message_Omsg) ) ))),
% 31.41/4.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 31.41/4.37 fof(f1427,axiom,(
% 31.41/4.37 (![V_X,V_H]: (( ~ c_in(V_X,V_H,tc_Message_Omsg)| c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg) ) ))),
% 31.41/4.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 31.41/4.37 fof(f1429,axiom,(
% 31.41/4.37 (![V_X,V_H]: (( ~ c_in(V_X,c_Message_Oparts(c_Message_Oparts(V_H)),tc_Message_Omsg)| c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg) ) ))),
% 31.41/4.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 31.41/4.37 fof(f1431,axiom,(
% 31.41/4.37 (![V_X,V_H,V_K]: (( ~ c_in(V_X,c_Message_Osynth(V_H),tc_Message_Omsg)| ~ c_in(c_Message_Omsg_OKey(V_K),V_H,tc_Message_Omsg)| c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Osynth(V_H),tc_Message_Omsg) ) ))),
% 31.41/4.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 31.41/4.37 fof(f1433,axiom,(
% 31.41/4.37 (![V_X,V_H]: (( ~ c_in(V_X,V_H,tc_Message_Omsg)| c_in(V_X,c_Message_Osynth(V_H),tc_Message_Omsg) ) ))),
% 31.41/4.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 31.41/4.37 fof(f1439,axiom,(
% 31.41/4.37 (![V_Z,V_X,V_H]: (( ~ c_in(V_Z,c_Message_Oparts(c_insert(V_X,V_H,tc_Message_Omsg)),tc_Message_Omsg)| ~ c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg)| c_in(V_Z,c_union(c_Message_Osynth(c_Message_Oanalz(V_H)),c_Message_Oparts(V_H),tc_Message_Omsg),tc_Message_Omsg) ) ))),
% 31.41/4.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 31.41/4.37 fof(f1441,axiom,(
% 31.41/4.37 (![V_c,V_H]: (( ~ c_in(V_c,c_Message_Oanalz(V_H),tc_Message_Omsg)| c_in(V_c,c_Message_Oparts(V_H),tc_Message_Omsg) ) ))),
% 31.41/4.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 31.41/4.37 fof(f1449,axiom,(
% 31.41/4.37 (![V_b,V_A,V_evs]: (c_in(c_Message_Omsg_OKey(c_Public_OpublicKey(V_b,V_A)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg) ))),
% 31.41/4.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 31.41/4.37 fof(f1480,negated_conjecture,(
% 31.41/4.37 c_in(v_evsf,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) ),
% 31.41/4.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 31.41/4.38 fof(f1481,negated_conjecture,(
% 31.41/4.38 c_in(v_X,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg) ),
% 31.41/4.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 31.41/4.38 fof(f1482,negated_conjecture,(
% 31.41/4.38 ~ c_in(c_Message_Omsg_ONonce(v_NB),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg) ),
% 31.41/4.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 31.41/4.38 fof(f1483,negated_conjecture,(
% 31.41/4.38 c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_NB)),c_Message_Oparts(c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),tc_Message_Omsg) ),
% 31.41/4.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 31.41/4.38 fof(f1484,negated_conjecture,(
% 31.41/4.38 ~ c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_NB)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg) ),
% 31.41/4.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 31.41/4.38 fof(f1626,plain,(
% 31.41/4.38 ![X0,X1,X2]: (c_in(c_Main_OsubsetI__1(X0,X1,X2),X0,X2)|c_lessequals(X0,X1,tc_set(X2)))),
% 31.41/4.38 inference(cnf_transformation,[status(esa)],[f109])).
% 31.41/4.38 fof(f1627,plain,(
% 31.41/4.38 ![X0,X1,X2]: (~c_in(c_Main_OsubsetI__1(X0,X1,X2),X1,X2)|c_lessequals(X0,X1,tc_set(X2)))),
% 31.41/4.38 inference(cnf_transformation,[status(esa)],[f110])).
% 31.41/4.38 fof(f1628,plain,(
% 31.41/4.38 ![V_B,V_A]: ((![T_a]: (~c_lessequals(V_B,V_A,tc_set(T_a))|~c_lessequals(V_A,V_B,tc_set(T_a))))|V_A=V_B)),
% 31.41/4.38 inference(miniscoping,[status(esa)],[f111])).
% 31.41/4.38 fof(f1629,plain,(
% 31.41/4.38 ![X0,X1,X2]: (~c_lessequals(X0,X1,tc_set(X2))|~c_lessequals(X1,X0,tc_set(X2))|X1=X0)),
% 31.41/4.38 inference(cnf_transformation,[status(esa)],[f1628])).
% 31.41/4.38 fof(f2917,plain,(
% 31.41/4.38 ![V_c,V_A,T_a]: ((![V_B]: (~c_in(V_c,c_union(V_A,V_B,T_a),T_a)|c_in(V_c,V_B,T_a)))|c_in(V_c,V_A,T_a))),
% 31.41/4.38 inference(miniscoping,[status(esa)],[f1328])).
% 31.41/4.38 fof(f2918,plain,(
% 31.41/4.38 ![X0,X1,X2,X3]: (~c_in(X0,c_union(X1,X2,X3),X3)|c_in(X0,X2,X3)|c_in(X0,X1,X3))),
% 31.41/4.38 inference(cnf_transformation,[status(esa)],[f2917])).
% 31.41/4.38 fof(f2926,plain,(
% 31.41/4.38 ![X0,X1]: (~c_in(X0,c_emptyset,X1))),
% 31.41/4.38 inference(cnf_transformation,[status(esa)],[f1333])).
% 31.41/4.38 fof(f2962,plain,(
% 31.41/4.38 c_in(c_Message_Oagent_OSpy,c_Event_Obad,tc_Message_Oagent)),
% 31.41/4.38 inference(cnf_transformation,[status(esa)],[f1359])).
% 31.41/4.38 fof(f2986,plain,(
% 31.41/4.38 ![X0,X1,X2]: (~c_in(c_Message_Omsg_OCrypt(X0,X1),c_Message_Osynth(X2),tc_Message_Omsg)|c_in(X1,c_Message_Osynth(X2),tc_Message_Omsg)|c_in(c_Message_Omsg_OCrypt(X0,X1),X2,tc_Message_Omsg))),
% 31.41/4.38 inference(cnf_transformation,[status(esa)],[f1375])).
% 31.41/4.38 fof(f3025,plain,(
% 31.41/4.38 ![V_X,V_H]: ((![V_Y]: ~c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg))|c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg))),
% 31.41/4.38 inference(miniscoping,[status(esa)],[f1404])).
% 31.41/4.38 fof(f3026,plain,(
% 31.41/4.38 ![X0,X1,X2]: (~c_in(c_Message_Omsg_OMPair(X0,X1),c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg)|c_in(X0,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg))),
% 31.41/4.38 inference(cnf_transformation,[status(esa)],[f3025])).
% 31.41/4.38 fof(f3029,plain,(
% 31.41/4.38 ![X0,X1,X2]: (~c_in(X0,c_Message_Osynth(c_Message_Oanalz(X1)),tc_Message_Omsg)|~c_in(X2,c_Message_Osynth(c_Message_Oanalz(X1)),tc_Message_Omsg)|c_in(c_Message_Omsg_OMPair(X2,X0),c_Message_Osynth(c_Message_Oanalz(X1)),tc_Message_Omsg))),
% 31.41/4.38 inference(cnf_transformation,[status(esa)],[f1406])).
% 31.41/4.38 fof(f3030,plain,(
% 31.41/4.38 ![X0,X1]: (~c_in(c_Message_Omsg_ONonce(X0),c_Message_Osynth(X1),tc_Message_Omsg)|c_in(c_Message_Omsg_ONonce(X0),X1,tc_Message_Omsg))),
% 31.41/4.38 inference(cnf_transformation,[status(esa)],[f1407])).
% 31.41/4.38 fof(f3055,plain,(
% 31.41/4.38 ![X0,X1]: (~c_in(X0,X1,tc_Message_Omsg)|c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg))),
% 31.41/4.38 inference(cnf_transformation,[status(esa)],[f1427])).
% 31.41/4.38 fof(f3057,plain,(
% 31.41/4.38 ![X0,X1]: (~c_in(X0,c_Message_Oparts(c_Message_Oparts(X1)),tc_Message_Omsg)|c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg))),
% 31.41/4.38 inference(cnf_transformation,[status(esa)],[f1429])).
% 31.41/4.38 fof(f3059,plain,(
% 31.41/4.38 ![X0,X1,X2]: (~c_in(X0,c_Message_Osynth(X1),tc_Message_Omsg)|~c_in(c_Message_Omsg_OKey(X2),X1,tc_Message_Omsg)|c_in(c_Message_Omsg_OCrypt(X2,X0),c_Message_Osynth(X1),tc_Message_Omsg))),
% 31.41/4.38 inference(cnf_transformation,[status(esa)],[f1431])).
% 31.41/4.38 fof(f3061,plain,(
% 31.41/4.38 ![X0,X1]: (~c_in(X0,X1,tc_Message_Omsg)|c_in(X0,c_Message_Osynth(X1),tc_Message_Omsg))),
% 31.41/4.38 inference(cnf_transformation,[status(esa)],[f1433])).
% 31.41/4.38 fof(f3069,plain,(
% 31.41/4.38 ![V_Z,V_H]: ((![V_X]: (~c_in(V_Z,c_Message_Oparts(c_insert(V_X,V_H,tc_Message_Omsg)),tc_Message_Omsg)|~c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg)))|c_in(V_Z,c_union(c_Message_Osynth(c_Message_Oanalz(V_H)),c_Message_Oparts(V_H),tc_Message_Omsg),tc_Message_Omsg))),
% 31.41/4.38 inference(miniscoping,[status(esa)],[f1439])).
% 31.41/4.38 fof(f3070,plain,(
% 31.41/4.38 ![X0,X1,X2]: (~c_in(X0,c_Message_Oparts(c_insert(X1,X2,tc_Message_Omsg)),tc_Message_Omsg)|~c_in(X1,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg)|c_in(X0,c_union(c_Message_Osynth(c_Message_Oanalz(X2)),c_Message_Oparts(X2),tc_Message_Omsg),tc_Message_Omsg))),
% 31.41/4.38 inference(cnf_transformation,[status(esa)],[f3069])).
% 31.41/4.38 fof(f3073,plain,(
% 31.41/4.38 ![X0,X1]: (~c_in(X0,c_Message_Oanalz(X1),tc_Message_Omsg)|c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg))),
% 31.41/4.38 inference(cnf_transformation,[status(esa)],[f1441])).
% 31.41/4.38 fof(f3087,plain,(
% 31.41/4.38 ![X0,X1,X2]: (c_in(c_Message_Omsg_OKey(c_Public_OpublicKey(X0,X1)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg))),
% 31.41/4.38 inference(cnf_transformation,[status(esa)],[f1449])).
% 31.41/4.38 fof(f3126,plain,(
% 31.41/4.38 c_in(v_evsf,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))),
% 31.41/4.38 inference(cnf_transformation,[status(esa)],[f1480])).
% 31.41/4.38 fof(f3127,plain,(
% 31.41/4.38 c_in(v_X,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg)),
% 31.41/4.38 inference(cnf_transformation,[status(esa)],[f1481])).
% 31.41/4.38 fof(f3128,plain,(
% 31.41/4.38 ~c_in(c_Message_Omsg_ONonce(v_NB),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg)),
% 31.41/4.38 inference(cnf_transformation,[status(esa)],[f1482])).
% 31.41/4.38 fof(f3129,plain,(
% 31.41/4.38 c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_NB)),c_Message_Oparts(c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),tc_Message_Omsg)),
% 31.41/4.38 inference(cnf_transformation,[status(esa)],[f1483])).
% 31.41/4.38 fof(f3130,plain,(
% 31.41/4.38 ~c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_NB)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg)),
% 31.41/4.38 inference(cnf_transformation,[status(esa)],[f1484])).
% 31.41/4.38 fof(f3517,plain,(
% 31.41/4.38 ![X0]: (~c_in(X0,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg)|c_in(c_Message_Omsg_OMPair(v_X,X0),c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg))),
% 31.41/4.38 inference(resolution,[status(thm)],[f3029,f3127])).
% 31.41/4.38 fof(f3524,plain,(
% 31.41/4.38 spl0_2 <=> c_in(v_X,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg)),
% 31.41/4.38 introduced(split_symbol_definition)).
% 31.41/4.38 fof(f3819,plain,(
% 31.41/4.38 ![X0,X1,X2]: (~c_in(c_Message_Omsg_OKey(X0),X1,tc_Message_Omsg)|c_in(c_Message_Omsg_OCrypt(X0,X2),c_Message_Osynth(X1),tc_Message_Omsg)|~c_in(X2,X1,tc_Message_Omsg))),
% 31.41/4.38 inference(resolution,[status(thm)],[f3059,f3061])).
% 31.41/4.38 fof(f6877,plain,(
% 31.41/4.38 ![X0,X1]: (~c_in(c_Message_Omsg_OKey(X0),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg)|~c_in(X1,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg)|c_in(c_Message_Omsg_OMPair(v_X,c_Message_Omsg_OCrypt(X0,X1)),c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg))),
% 31.41/4.38 inference(resolution,[status(thm)],[f3819,f3517])).
% 31.41/4.38 fof(f7608,plain,(
% 31.41/4.38 spl0_45 <=> ~c_in(X0,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg)),
% 31.41/4.38 introduced(split_symbol_definition)).
% 31.41/4.38 fof(f7609,plain,(
% 31.41/4.38 ![X0]: (~c_in(X0,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg)|~spl0_45)),
% 31.41/4.38 inference(component_clause,[status(thm)],[f7608])).
% 31.41/4.38 fof(f7679,plain,(
% 31.41/4.38 spl0_55 <=> ~c_in(c_Message_Omsg_OKey(X0),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg)),
% 31.41/4.38 introduced(split_symbol_definition)).
% 31.41/4.38 fof(f7680,plain,(
% 31.41/4.38 ![X0]: (~c_in(c_Message_Omsg_OKey(X0),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg)|~spl0_55)),
% 31.41/4.38 inference(component_clause,[status(thm)],[f7679])).
% 31.41/4.38 fof(f7682,plain,(
% 31.41/4.38 spl0_56 <=> ~c_in(X1,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg)),
% 31.41/4.38 introduced(split_symbol_definition)).
% 31.41/4.38 fof(f7683,plain,(
% 31.41/4.38 ![X0]: (~c_in(X0,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg)|~spl0_56)),
% 31.41/4.38 inference(component_clause,[status(thm)],[f7682])).
% 31.41/4.38 fof(f7685,plain,(
% 31.41/4.38 ![X0,X1]: (~c_in(c_Message_Omsg_OKey(X0),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg)|~c_in(X1,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg)|~spl0_45)),
% 31.41/4.38 inference(backward_subsumption_resolution,[status(thm)],[f6877,f7609])).
% 31.41/4.38 fof(f7686,plain,(
% 31.41/4.38 spl0_55|spl0_56|~spl0_45),
% 31.41/4.38 inference(split_clause,[status(thm)],[f7685,f7679,f7682,f7608])).
% 31.41/4.38 fof(f8261,plain,(
% 31.41/4.38 $false|~spl0_55),
% 31.41/4.38 inference(resolution,[status(thm)],[f7680,f3087])).
% 31.41/4.38 fof(f8262,plain,(
% 31.41/4.38 ~spl0_55),
% 31.41/4.38 inference(contradiction_clause,[status(thm)],[f8261])).
% 31.41/4.38 fof(f14279,plain,(
% 31.41/4.38 ![X0,X1]: (c_lessequals(c_Message_Oparts(c_Message_Oparts(X0)),X1,tc_set(tc_Message_Omsg))|c_in(c_Main_OsubsetI__1(c_Message_Oparts(c_Message_Oparts(X0)),X1,tc_Message_Omsg),c_Message_Oparts(X0),tc_Message_Omsg))),
% 31.41/4.38 inference(resolution,[status(thm)],[f1626,f3057])).
% 31.41/4.38 fof(f14492,plain,(
% 31.41/4.38 ![X0,X1]: (c_lessequals(X0,c_Message_Oparts(X1),tc_set(tc_Message_Omsg))|~c_in(c_Main_OsubsetI__1(X0,c_Message_Oparts(X1),tc_Message_Omsg),X1,tc_Message_Omsg))),
% 31.41/4.38 inference(resolution,[status(thm)],[f1627,f3055])).
% 31.41/4.38 fof(f15258,plain,(
% 31.41/4.38 ![X0]: (c_lessequals(c_Message_Oparts(c_Message_Oparts(X0)),c_Message_Oparts(X0),tc_set(tc_Message_Omsg))|c_lessequals(c_Message_Oparts(c_Message_Oparts(X0)),c_Message_Oparts(X0),tc_set(tc_Message_Omsg)))),
% 31.41/4.38 inference(resolution,[status(thm)],[f14279,f1627])).
% 31.41/4.38 fof(f15259,plain,(
% 31.41/4.38 ![X0]: (c_lessequals(c_Message_Oparts(c_Message_Oparts(X0)),c_Message_Oparts(X0),tc_set(tc_Message_Omsg)))),
% 31.41/4.38 inference(duplicate_literals_removal,[status(esa)],[f15258])).
% 31.41/4.38 fof(f15968,plain,(
% 31.41/4.38 ![X0]: (c_lessequals(X0,c_Message_Oparts(X0),tc_set(tc_Message_Omsg))|c_lessequals(X0,c_Message_Oparts(X0),tc_set(tc_Message_Omsg)))),
% 31.41/4.38 inference(resolution,[status(thm)],[f14492,f1626])).
% 31.41/4.38 fof(f15969,plain,(
% 31.41/4.38 ![X0]: (c_lessequals(X0,c_Message_Oparts(X0),tc_set(tc_Message_Omsg)))),
% 31.41/4.38 inference(duplicate_literals_removal,[status(esa)],[f15968])).
% 31.41/4.38 fof(f16368,plain,(
% 31.41/4.38 ![X0]: (~c_lessequals(c_Message_Oparts(X0),X0,tc_set(tc_Message_Omsg))|X0=c_Message_Oparts(X0))),
% 31.41/4.38 inference(resolution,[status(thm)],[f15969,f1629])).
% 31.41/4.38 fof(f17003,plain,(
% 31.41/4.38 ![X0]: (c_Message_Oparts(X0)=c_Message_Oparts(c_Message_Oparts(X0)))),
% 31.41/4.38 inference(resolution,[status(thm)],[f16368,f15259])).
% 31.41/4.38 fof(f22954,plain,(
% 31.41/4.38 ![X0]: (~c_in(X0,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg)|c_in(v_X,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg))),
% 31.41/4.38 inference(resolution,[status(thm)],[f3517,f3026])).
% 31.41/4.38 fof(f22955,plain,(
% 31.41/4.38 spl0_45|spl0_2),
% 31.41/4.38 inference(split_clause,[status(thm)],[f22954,f7608,f3524])).
% 31.41/4.38 fof(f37696,plain,(
% 31.41/4.38 $false|~spl0_56),
% 31.41/4.38 inference(resolution,[status(thm)],[f7683,f3087])).
% 31.41/4.38 fof(f37697,plain,(
% 31.41/4.38 ~spl0_56),
% 31.41/4.38 inference(contradiction_clause,[status(thm)],[f37696])).
% 31.41/4.38 fof(f44668,plain,(
% 31.41/4.38 spl0_649 <=> c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_NB)),c_union(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg),tc_Message_Omsg)),
% 31.41/4.38 introduced(split_symbol_definition)).
% 31.41/4.38 fof(f44669,plain,(
% 31.41/4.38 c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_NB)),c_union(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg),tc_Message_Omsg)|~spl0_649),
% 31.41/4.38 inference(component_clause,[status(thm)],[f44668])).
% 31.41/4.38 fof(f44671,plain,(
% 31.41/4.38 ~c_in(v_X,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg)|c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_NB)),c_union(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg),tc_Message_Omsg)),
% 31.41/4.38 inference(resolution,[status(thm)],[f3070,f3129])).
% 31.41/4.38 fof(f44672,plain,(
% 31.41/4.38 ~spl0_2|spl0_649),
% 31.41/4.38 inference(split_clause,[status(thm)],[f44671,f3524,f44668])).
% 31.41/4.38 fof(f44715,plain,(
% 31.41/4.38 spl0_651 <=> c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_NB)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg)),
% 31.41/4.38 introduced(split_symbol_definition)).
% 31.41/4.38 fof(f44716,plain,(
% 31.41/4.38 c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_NB)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg)|~spl0_651),
% 31.41/4.38 inference(component_clause,[status(thm)],[f44715])).
% 31.41/4.38 fof(f44718,plain,(
% 31.41/4.38 spl0_652 <=> c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_NB)),c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg)),
% 31.41/4.38 introduced(split_symbol_definition)).
% 31.41/4.38 fof(f44719,plain,(
% 31.41/4.38 c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_NB)),c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg)|~spl0_652),
% 31.41/4.38 inference(component_clause,[status(thm)],[f44718])).
% 31.41/4.38 fof(f44721,plain,(
% 31.41/4.38 c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_NB)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg)|c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_NB)),c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg)|~spl0_649),
% 31.41/4.38 inference(resolution,[status(thm)],[f44669,f2918])).
% 31.41/4.38 fof(f44722,plain,(
% 31.41/4.38 spl0_651|spl0_652|~spl0_649),
% 31.41/4.38 inference(split_clause,[status(thm)],[f44721,f44715,f44718,f44668])).
% 31.41/4.38 fof(f44723,plain,(
% 31.41/4.38 $false|~spl0_651),
% 31.41/4.38 inference(forward_subsumption_resolution,[status(thm)],[f44716,f3130])).
% 31.41/4.38 fof(f44724,plain,(
% 31.41/4.38 ~spl0_651),
% 31.41/4.38 inference(contradiction_clause,[status(thm)],[f44723])).
% 31.41/4.38 fof(f44748,plain,(
% 31.41/4.38 spl0_654 <=> c_in(c_Message_Omsg_ONonce(v_NB),c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg)),
% 31.41/4.38 introduced(split_symbol_definition)).
% 31.41/4.38 fof(f44749,plain,(
% 31.41/4.38 c_in(c_Message_Omsg_ONonce(v_NB),c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg)|~spl0_654),
% 31.41/4.38 inference(component_clause,[status(thm)],[f44748])).
% 31.41/4.38 fof(f44763,plain,(
% 31.41/4.38 c_in(c_Message_Omsg_ONonce(v_NB),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg)|~spl0_654),
% 31.41/4.38 inference(resolution,[status(thm)],[f44749,f3030])).
% 31.41/4.38 fof(f44764,plain,(
% 31.41/4.38 $false|~spl0_654),
% 31.41/4.38 inference(forward_subsumption_resolution,[status(thm)],[f44763,f3128])).
% 31.41/4.38 fof(f44765,plain,(
% 31.41/4.38 ~spl0_654),
% 31.41/4.38 inference(contradiction_clause,[status(thm)],[f44764])).
% 31.41/4.38 fof(f44800,plain,(
% 31.41/4.38 spl0_657 <=> c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_NB)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg)),
% 31.41/4.38 introduced(split_symbol_definition)).
% 31.41/4.38 fof(f44801,plain,(
% 31.41/4.38 c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_NB)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg)|~spl0_657),
% 31.41/4.38 inference(component_clause,[status(thm)],[f44800])).
% 31.41/4.38 fof(f44803,plain,(
% 31.41/4.38 c_in(c_Message_Omsg_ONonce(v_NB),c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg)|c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_NB)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg)|~spl0_652),
% 31.41/4.38 inference(resolution,[status(thm)],[f44719,f2986])).
% 31.41/4.38 fof(f44804,plain,(
% 31.41/4.38 spl0_654|spl0_657|~spl0_652),
% 31.41/4.38 inference(split_clause,[status(thm)],[f44803,f44748,f44800,f44718])).
% 31.41/4.38 fof(f45109,plain,(
% 31.41/4.38 spl0_662 <=> c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_NB)),c_Message_Oparts(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg)),
% 31.41/4.45 introduced(split_symbol_definition)).
% 31.41/4.45 fof(f45110,plain,(
% 31.41/4.45 c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_NB)),c_Message_Oparts(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg)|~spl0_662),
% 31.41/4.45 inference(component_clause,[status(thm)],[f45109])).
% 31.41/4.45 fof(f45120,plain,(
% 31.41/4.45 c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_NB)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg)|~spl0_662),
% 31.41/4.45 inference(forward_demodulation,[status(thm)],[f17003,f45110])).
% 31.41/4.45 fof(f45121,plain,(
% 31.41/4.45 $false|~spl0_662),
% 31.41/4.45 inference(forward_subsumption_resolution,[status(thm)],[f45120,f3130])).
% 31.41/4.45 fof(f45122,plain,(
% 31.41/4.45 ~spl0_662),
% 31.41/4.45 inference(contradiction_clause,[status(thm)],[f45121])).
% 31.41/4.45 fof(f45306,plain,(
% 31.41/4.45 spl0_671 <=> c_in(c_Message_Oagent_OSpy,c_Event_Obad,tc_Message_Oagent)),
% 31.41/4.45 introduced(split_symbol_definition)).
% 31.41/4.45 fof(f45308,plain,(
% 31.41/4.45 ~c_in(c_Message_Oagent_OSpy,c_Event_Obad,tc_Message_Oagent)|spl0_671),
% 31.41/4.45 inference(component_clause,[status(thm)],[f45306])).
% 31.41/4.45 fof(f45312,plain,(
% 31.41/4.45 $false|spl0_671),
% 31.41/4.45 inference(forward_subsumption_resolution,[status(thm)],[f45308,f2962])).
% 31.41/4.45 fof(f45313,plain,(
% 31.41/4.45 spl0_671),
% 31.41/4.45 inference(contradiction_clause,[status(thm)],[f45312])).
% 31.41/4.45 fof(f45659,plain,(
% 31.41/4.45 spl0_689 <=> c_in(c_0,c_emptyset,tc_nat)),
% 31.41/4.45 introduced(split_symbol_definition)).
% 31.41/4.45 fof(f45660,plain,(
% 31.41/4.45 c_in(c_0,c_emptyset,tc_nat)|~spl0_689),
% 31.41/4.45 inference(component_clause,[status(thm)],[f45659])).
% 31.41/4.45 fof(f45664,plain,(
% 31.41/4.45 $false|~spl0_689),
% 31.41/4.45 inference(forward_subsumption_resolution,[status(thm)],[f45660,f2926])).
% 31.41/4.45 fof(f45665,plain,(
% 31.41/4.45 ~spl0_689),
% 31.41/4.45 inference(contradiction_clause,[status(thm)],[f45664])).
% 31.41/4.45 fof(f45944,plain,(
% 31.41/4.45 spl0_711 <=> c_in(v_evsf,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))),
% 31.41/4.45 introduced(split_symbol_definition)).
% 31.41/4.45 fof(f45946,plain,(
% 31.41/4.45 ~c_in(v_evsf,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))|spl0_711),
% 31.41/4.45 inference(component_clause,[status(thm)],[f45944])).
% 31.41/4.45 fof(f45950,plain,(
% 31.41/4.45 $false|spl0_711),
% 31.41/4.45 inference(forward_subsumption_resolution,[status(thm)],[f45946,f3126])).
% 31.41/4.45 fof(f45951,plain,(
% 31.41/4.45 spl0_711),
% 31.41/4.45 inference(contradiction_clause,[status(thm)],[f45950])).
% 31.41/4.45 fof(f46093,plain,(
% 31.41/4.45 spl0_712 <=> ~c_in(X0,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))),
% 31.41/4.45 introduced(split_symbol_definition)).
% 31.41/4.45 fof(f46094,plain,(
% 31.41/4.45 ![X0]: (~c_in(X0,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))|~spl0_712)),
% 31.41/4.45 inference(component_clause,[status(thm)],[f46093])).
% 31.41/4.45 fof(f46206,plain,(
% 31.41/4.45 $false|~spl0_712),
% 31.41/4.45 inference(backward_subsumption_resolution,[status(thm)],[f3126,f46094])).
% 31.41/4.45 fof(f46207,plain,(
% 31.41/4.45 ~spl0_712),
% 31.41/4.45 inference(contradiction_clause,[status(thm)],[f46206])).
% 31.41/4.45 fof(f46699,plain,(
% 31.41/4.45 c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_NB)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg)|~spl0_657),
% 31.41/4.45 inference(resolution,[status(thm)],[f44801,f3073])).
% 31.41/4.45 fof(f46700,plain,(
% 31.41/4.45 spl0_651|~spl0_657),
% 31.41/4.45 inference(split_clause,[status(thm)],[f46699,f44715,f44800])).
% 31.41/4.45 fof(f46701,plain,(
% 31.41/4.45 $false),
% 31.41/4.45 inference(sat_refutation,[status(thm)],[f7686,f8262,f22955,f37697,f44672,f44722,f44724,f44765,f44804,f45122,f45313,f45665,f45951,f46207,f46700])).
% 31.41/4.45 % SZS output end CNFRefutation for theBenchmark.p
% 32.39/4.50 % Elapsed time: 4.140833 seconds
% 32.39/4.50 % CPU time: 32.107044 seconds
% 32.39/4.50 % Memory used: 620.732 MB
%------------------------------------------------------------------------------