TSTP Solution File: SWV724-1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SWV724-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n002.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 Apr 30 20:49:13 EDT 2024
% Result : Unsatisfiable 4.12s 0.92s
% Output : CNFRefutation 4.32s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : SWV724-1 : TPTP v8.1.2. Released v4.1.0.
% 0.08/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.35 % Computer : n002.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Apr 30 01:00:54 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.39 % Drodi V3.6.0
% 4.12/0.92 % Refutation found
% 4.12/0.92 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 4.12/0.92 % SZS output start CNFRefutation for theBenchmark
% 4.12/0.92 fof(f362,axiom,(
% 4.12/0.92 (![V_x,V_A,T_a]: (hBOOL(hAPP(c_Set_Oinsert(V_x,V_A,T_a),V_x)) ))),
% 4.12/0.92 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 4.12/0.92 fof(f411,axiom,(
% 4.12/0.92 (![V_K,V_H]: (c_Message_Oparts(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,V_K),V_H,tc_Message_Omsg)) = c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oparts(V_H),tc_Message_Omsg) ))),
% 4.12/0.92 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 4.12/0.92 fof(f453,axiom,(
% 4.12/0.92 (![V_H]: (c_Message_Oparts(c_Message_Oanalz(V_H)) = c_Message_Oparts(V_H) ))),
% 4.12/0.92 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 4.12/0.92 fof(f505,axiom,(
% 4.12/0.92 (![V_Y,V_H,V_X]: (( hBOOL(c_in(V_Y,c_Message_Oanalz(V_H),tc_Message_Omsg))| ~ hBOOL(c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg))| ~ hBOOL(c_in(V_Y,c_Message_Oanalz(c_Set_Oinsert(V_X,V_H,tc_Message_Omsg)),tc_Message_Omsg)) ) ))),
% 4.12/0.92 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 4.12/0.92 fof(f506,axiom,(
% 4.12/0.92 (![V_X,V_H]: (( c_Message_Oanalz(c_Set_Oinsert(V_X,V_H,tc_Message_Omsg)) = c_Message_Oanalz(V_H)| ~ hBOOL(c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg)) ) ))),
% 4.12/0.92 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 4.12/0.92 fof(f508,axiom,(
% 4.12/0.92 (![V_c,V_a,V_G]: (( hBOOL(c_in(V_c,c_Message_Oanalz(c_Set_Oinsert(V_a,V_G,tc_Message_Omsg)),tc_Message_Omsg))| ~ hBOOL(c_in(V_c,c_Message_Oanalz(V_G),tc_Message_Omsg)) ) ))),
% 4.12/0.92 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 4.12/0.92 fof(f531,axiom,(
% 4.12/0.92 (![V_A,V_evs]: (( hBOOL(c_in(V_A,c_Event_Obad,tc_Message_Oagent))| ~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,V_A)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg))| ~ hBOOL(c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))) ) ))),
% 4.12/0.92 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 4.12/0.92 fof(f533,axiom,(
% 4.12/0.92 (![V_X,V_H]: (( hBOOL(c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg))| ~ hBOOL(c_in(V_X,V_H,tc_Message_Omsg)) ) ))),
% 4.12/0.92 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 4.12/0.92 fof(f536,axiom,(
% 4.12/0.92 (![V_A,V_evs]: (( hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,V_A)),c_Event_Oknows(c_Message_Oagent_OSpy,V_evs),tc_Message_Omsg))| ~ hBOOL(c_in(V_A,c_Event_Obad,tc_Message_Oagent)) ) ))),
% 4.12/0.92 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 4.12/0.92 fof(f537,axiom,(
% 4.12/0.92 (![V_A,V_evs]: (hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,V_A)),c_Event_Oknows(V_A,V_evs),tc_Message_Omsg)) ))),
% 4.12/0.92 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 4.12/0.92 fof(f539,axiom,(
% 4.12/0.92 (![V_x,V_S,T_a]: (( hBOOL(c_in(V_x,V_S,T_a))| ~ hBOOL(hAPP(V_S,V_x)) ) ))),
% 4.12/0.92 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 4.12/0.92 fof(f540,axiom,(
% 4.12/0.92 (![V_S,V_x,T_a]: (( hBOOL(hAPP(V_S,V_x))| ~ hBOOL(c_in(V_x,V_S,T_a)) ) ))),
% 4.12/0.92 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 4.12/0.92 fof(f542,negated_conjecture,(
% 4.12/0.92 hBOOL(c_in(v_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))) ),
% 4.12/0.92 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 4.12/0.92 fof(f543,negated_conjecture,(
% 4.12/0.92 ( ~ hBOOL(c_in(v_A,c_Event_Obad,tc_Message_Oagent))| ~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,v_A)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg)) ) ),
% 4.12/0.92 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 4.12/0.92 fof(f544,negated_conjecture,(
% 4.12/0.92 ( hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,v_A)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg))| hBOOL(c_in(v_A,c_Event_Obad,tc_Message_Oagent)) ) ),
% 4.12/0.92 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 4.12/0.92 fof(f1052,plain,(
% 4.12/0.92 ![X0,X1,X2]: (hBOOL(hAPP(c_Set_Oinsert(X0,X1,X2),X0)))),
% 4.12/0.92 inference(cnf_transformation,[status(esa)],[f362])).
% 4.12/0.92 fof(f1130,plain,(
% 4.12/0.92 ![X0,X1]: (c_Message_Oparts(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,X0),X1,tc_Message_Omsg))=c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,X0),c_Message_Oparts(X1),tc_Message_Omsg))),
% 4.12/0.92 inference(cnf_transformation,[status(esa)],[f411])).
% 4.12/0.92 fof(f1191,plain,(
% 4.12/0.92 ![X0]: (c_Message_Oparts(c_Message_Oanalz(X0))=c_Message_Oparts(X0))),
% 4.32/0.94 inference(cnf_transformation,[status(esa)],[f453])).
% 4.32/0.94 fof(f1254,plain,(
% 4.32/0.94 ![X0,X1,X2]: (hBOOL(c_in(X0,c_Message_Oanalz(X1),tc_Message_Omsg))|~hBOOL(c_in(X2,c_Message_Oanalz(X1),tc_Message_Omsg))|~hBOOL(c_in(X0,c_Message_Oanalz(c_Set_Oinsert(X2,X1,tc_Message_Omsg)),tc_Message_Omsg)))),
% 4.32/0.94 inference(cnf_transformation,[status(esa)],[f505])).
% 4.32/0.94 fof(f1255,plain,(
% 4.32/0.94 ![X0,X1]: (c_Message_Oanalz(c_Set_Oinsert(X0,X1,tc_Message_Omsg))=c_Message_Oanalz(X1)|~hBOOL(c_in(X0,c_Message_Oanalz(X1),tc_Message_Omsg)))),
% 4.32/0.94 inference(cnf_transformation,[status(esa)],[f506])).
% 4.32/0.94 fof(f1258,plain,(
% 4.32/0.94 ![V_c,V_G]: ((![V_a]: hBOOL(c_in(V_c,c_Message_Oanalz(c_Set_Oinsert(V_a,V_G,tc_Message_Omsg)),tc_Message_Omsg)))|~hBOOL(c_in(V_c,c_Message_Oanalz(V_G),tc_Message_Omsg)))),
% 4.32/0.94 inference(miniscoping,[status(esa)],[f508])).
% 4.32/0.94 fof(f1259,plain,(
% 4.32/0.94 ![X0,X1,X2]: (hBOOL(c_in(X0,c_Message_Oanalz(c_Set_Oinsert(X1,X2,tc_Message_Omsg)),tc_Message_Omsg))|~hBOOL(c_in(X0,c_Message_Oanalz(X2),tc_Message_Omsg)))),
% 4.32/0.94 inference(cnf_transformation,[status(esa)],[f1258])).
% 4.32/0.94 fof(f1289,plain,(
% 4.32/0.94 ![V_evs]: ((![V_A]: (hBOOL(c_in(V_A,c_Event_Obad,tc_Message_Oagent))|~hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,V_A)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg))))|~hBOOL(c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))))),
% 4.32/0.94 inference(miniscoping,[status(esa)],[f531])).
% 4.32/0.94 fof(f1290,plain,(
% 4.32/0.94 ![X0,X1]: (hBOOL(c_in(X0,c_Event_Obad,tc_Message_Oagent))|~hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X0)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg))|~hBOOL(c_in(X1,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))))),
% 4.32/0.94 inference(cnf_transformation,[status(esa)],[f1289])).
% 4.32/0.94 fof(f1292,plain,(
% 4.32/0.94 ![X0,X1]: (hBOOL(c_in(X0,c_Message_Oanalz(X1),tc_Message_Omsg))|~hBOOL(c_in(X0,X1,tc_Message_Omsg)))),
% 4.32/0.94 inference(cnf_transformation,[status(esa)],[f533])).
% 4.32/0.94 fof(f1295,plain,(
% 4.32/0.94 ![V_A]: ((![V_evs]: hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,V_A)),c_Event_Oknows(c_Message_Oagent_OSpy,V_evs),tc_Message_Omsg)))|~hBOOL(c_in(V_A,c_Event_Obad,tc_Message_Oagent)))),
% 4.32/0.94 inference(miniscoping,[status(esa)],[f536])).
% 4.32/0.94 fof(f1296,plain,(
% 4.32/0.94 ![X0,X1]: (hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X0)),c_Event_Oknows(c_Message_Oagent_OSpy,X1),tc_Message_Omsg))|~hBOOL(c_in(X0,c_Event_Obad,tc_Message_Oagent)))),
% 4.32/0.94 inference(cnf_transformation,[status(esa)],[f1295])).
% 4.32/0.94 fof(f1297,plain,(
% 4.32/0.94 ![X0,X1]: (hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X0)),c_Event_Oknows(X0,X1),tc_Message_Omsg)))),
% 4.32/0.94 inference(cnf_transformation,[status(esa)],[f537])).
% 4.32/0.94 fof(f1299,plain,(
% 4.32/0.94 ![V_x,V_S]: ((![T_a]: hBOOL(c_in(V_x,V_S,T_a)))|~hBOOL(hAPP(V_S,V_x)))),
% 4.32/0.94 inference(miniscoping,[status(esa)],[f539])).
% 4.32/0.94 fof(f1300,plain,(
% 4.32/0.94 ![X0,X1,X2]: (hBOOL(c_in(X0,X1,X2))|~hBOOL(hAPP(X1,X0)))),
% 4.32/0.94 inference(cnf_transformation,[status(esa)],[f1299])).
% 4.32/0.94 fof(f1301,plain,(
% 4.32/0.94 ![V_S,V_x]: (hBOOL(hAPP(V_S,V_x))|(![T_a]: ~hBOOL(c_in(V_x,V_S,T_a))))),
% 4.32/0.94 inference(miniscoping,[status(esa)],[f540])).
% 4.32/0.94 fof(f1302,plain,(
% 4.32/0.94 ![X0,X1,X2]: (hBOOL(hAPP(X0,X1))|~hBOOL(c_in(X1,X0,X2)))),
% 4.32/0.94 inference(cnf_transformation,[status(esa)],[f1301])).
% 4.32/0.94 fof(f1304,plain,(
% 4.32/0.94 hBOOL(c_in(v_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))),
% 4.32/0.94 inference(cnf_transformation,[status(esa)],[f542])).
% 4.32/0.94 fof(f1305,plain,(
% 4.32/0.94 ~hBOOL(c_in(v_A,c_Event_Obad,tc_Message_Oagent))|~hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,v_A)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg))),
% 4.32/0.94 inference(cnf_transformation,[status(esa)],[f543])).
% 4.32/0.94 fof(f1306,plain,(
% 4.32/0.94 hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,v_A)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg))|hBOOL(c_in(v_A,c_Event_Obad,tc_Message_Oagent))),
% 4.32/0.94 inference(cnf_transformation,[status(esa)],[f544])).
% 4.32/0.94 fof(f1338,plain,(
% 4.32/0.94 spl0_0 <=> hBOOL(c_in(v_A,c_Event_Obad,tc_Message_Oagent))),
% 4.32/0.94 introduced(split_symbol_definition)).
% 4.32/0.94 fof(f1339,plain,(
% 4.32/0.94 hBOOL(c_in(v_A,c_Event_Obad,tc_Message_Oagent))|~spl0_0),
% 4.32/0.94 inference(component_clause,[status(thm)],[f1338])).
% 4.32/0.94 fof(f1341,plain,(
% 4.32/0.94 spl0_1 <=> hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,v_A)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg))),
% 4.32/0.94 introduced(split_symbol_definition)).
% 4.32/0.94 fof(f1342,plain,(
% 4.32/0.94 hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,v_A)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg))|~spl0_1),
% 4.32/0.94 inference(component_clause,[status(thm)],[f1341])).
% 4.32/0.94 fof(f1343,plain,(
% 4.32/0.94 ~hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,v_A)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg))|spl0_1),
% 4.32/0.94 inference(component_clause,[status(thm)],[f1341])).
% 4.32/0.94 fof(f1344,plain,(
% 4.32/0.94 ~spl0_0|~spl0_1),
% 4.32/0.94 inference(split_clause,[status(thm)],[f1305,f1338,f1341])).
% 4.32/0.94 fof(f1345,plain,(
% 4.32/0.94 spl0_1|spl0_0),
% 4.32/0.94 inference(split_clause,[status(thm)],[f1306,f1341,f1338])).
% 4.32/0.94 fof(f1373,plain,(
% 4.32/0.94 ![X0,X1,X2,X3]: (~hBOOL(c_in(X0,X1,X2))|hBOOL(c_in(X0,X1,X3)))),
% 4.32/0.94 inference(resolution,[status(thm)],[f1302,f1300])).
% 4.32/0.94 fof(f1441,plain,(
% 4.32/0.94 c_Message_Oanalz(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,v_A)),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs),tc_Message_Omsg))=c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs))|~spl0_1),
% 4.32/0.94 inference(resolution,[status(thm)],[f1255,f1342])).
% 4.32/0.94 fof(f1442,plain,(
% 4.32/0.94 ![X0,X1]: (c_Message_Oanalz(c_Set_Oinsert(X0,X1,tc_Message_Omsg))=c_Message_Oanalz(X1)|~hBOOL(c_in(X0,X1,tc_Message_Omsg)))),
% 4.32/0.94 inference(resolution,[status(thm)],[f1255,f1292])).
% 4.32/0.94 fof(f1443,plain,(
% 4.32/0.94 ![X0,X1,X2]: (c_Message_Oanalz(c_Set_Oinsert(X0,X1,tc_Message_Omsg))=c_Message_Oanalz(X1)|~hBOOL(c_in(X0,c_Message_Oanalz(X1),X2)))),
% 4.32/0.94 inference(resolution,[status(thm)],[f1255,f1373])).
% 4.32/0.94 fof(f1448,plain,(
% 4.32/0.94 ![X0,X1]: (c_Message_Oanalz(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X0)),c_Event_Oknows(X0,X1),tc_Message_Omsg))=c_Message_Oanalz(c_Event_Oknows(X0,X1)))),
% 4.32/0.94 inference(resolution,[status(thm)],[f1442,f1297])).
% 4.32/0.94 fof(f1451,plain,(
% 4.32/0.94 ![X0,X1,X2]: (c_Message_Oanalz(c_Set_Oinsert(X0,X1,tc_Message_Omsg))=c_Message_Oanalz(X1)|~hBOOL(c_in(X0,X1,X2)))),
% 4.32/0.94 inference(resolution,[status(thm)],[f1442,f1373])).
% 4.32/0.94 fof(f1457,plain,(
% 4.32/0.94 c_Message_Oanalz(c_Set_Oinsert(v_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_Message_Omsg))=c_Message_Oanalz(c_NS__Shared__Mirabelle_Ons__shared)),
% 4.32/0.94 inference(resolution,[status(thm)],[f1451,f1304])).
% 4.32/0.94 fof(f1466,plain,(
% 4.32/0.94 ![X0]: (hBOOL(c_in(X0,c_Message_Oanalz(c_NS__Shared__Mirabelle_Ons__shared),tc_Message_Omsg))|~hBOOL(c_in(X0,c_Set_Oinsert(v_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_Message_Omsg),tc_Message_Omsg)))),
% 4.32/0.94 inference(paramodulation,[status(thm)],[f1457,f1292])).
% 4.32/0.94 fof(f1820,plain,(
% 4.32/0.94 ![X0,X1]: (hBOOL(c_in(X0,c_Message_Oanalz(c_NS__Shared__Mirabelle_Ons__shared),tc_Message_Omsg))|~hBOOL(c_in(X0,c_Set_Oinsert(v_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_Message_Omsg),X1)))),
% 4.32/0.94 inference(resolution,[status(thm)],[f1466,f1373])).
% 4.32/0.94 fof(f1873,plain,(
% 4.32/0.94 ![X0,X1,X2]: (hBOOL(c_in(X0,c_Message_Oanalz(c_Set_Oinsert(X1,c_NS__Shared__Mirabelle_Ons__shared,tc_Message_Omsg)),tc_Message_Omsg))|~hBOOL(c_in(X0,c_Set_Oinsert(v_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_Message_Omsg),X2)))),
% 4.32/0.94 inference(resolution,[status(thm)],[f1259,f1820])).
% 4.32/0.94 fof(f1879,plain,(
% 4.32/0.94 ![X0,X1,X2]: (hBOOL(c_in(X0,c_Message_Oanalz(c_Set_Oinsert(X1,X2,tc_Message_Omsg)),tc_Message_Omsg))|~hBOOL(c_in(X0,X2,tc_Message_Omsg)))),
% 4.32/0.94 inference(resolution,[status(thm)],[f1259,f1292])).
% 4.32/0.94 fof(f1880,plain,(
% 4.32/0.94 ![X0,X1,X2,X3]: (hBOOL(c_in(X0,c_Message_Oanalz(c_Set_Oinsert(X1,X2,tc_Message_Omsg)),tc_Message_Omsg))|~hBOOL(c_in(X0,c_Message_Oanalz(X2),X3)))),
% 4.32/0.94 inference(resolution,[status(thm)],[f1259,f1373])).
% 4.32/0.94 fof(f1929,plain,(
% 4.32/0.94 ![X0,X1,X2,X3]: (hBOOL(c_in(X0,c_Message_Oanalz(c_Set_Oinsert(X1,X2,tc_Message_Omsg)),tc_Message_Omsg))|~hBOOL(c_in(X0,X2,X3)))),
% 4.32/0.94 inference(resolution,[status(thm)],[f1879,f1373])).
% 4.32/0.94 fof(f1937,plain,(
% 4.32/0.94 ![X0,X1]: (hBOOL(c_in(X0,c_Message_Oanalz(c_NS__Shared__Mirabelle_Ons__shared),tc_Message_Omsg))|~hBOOL(c_in(X0,c_NS__Shared__Mirabelle_Ons__shared,X1)))),
% 4.32/0.94 inference(paramodulation,[status(thm)],[f1457,f1929])).
% 4.32/0.94 fof(f2294,plain,(
% 4.32/0.94 ![X0,X1,X2,X3]: (hBOOL(c_in(X0,c_Message_Oanalz(c_Event_Oknows(X1,X2)),tc_Message_Omsg))|~hBOOL(c_in(X0,c_Event_Oknows(X1,X2),X3)))),
% 4.32/0.94 inference(paramodulation,[status(thm)],[f1448,f1929])).
% 4.32/0.94 fof(f2325,plain,(
% 4.32/0.94 c_Message_Oparts(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)))=c_Message_Oparts(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,v_A)),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs),tc_Message_Omsg))|~spl0_1),
% 4.32/0.94 inference(paramodulation,[status(thm)],[f1441,f1191])).
% 4.32/0.94 fof(f2326,plain,(
% 4.32/0.94 c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs))=c_Message_Oparts(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,v_A)),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs),tc_Message_Omsg))|~spl0_1),
% 4.32/0.94 inference(forward_demodulation,[status(thm)],[f1191,f2325])).
% 4.32/0.94 fof(f2327,plain,(
% 4.32/0.94 c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs))=c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,v_A)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg)|~spl0_1),
% 4.32/0.94 inference(forward_demodulation,[status(thm)],[f1130,f2326])).
% 4.32/0.94 fof(f2754,plain,(
% 4.32/0.94 ![X0,X1,X2]: (hBOOL(c_in(X0,c_Message_Oanalz(c_NS__Shared__Mirabelle_Ons__shared),tc_Message_Omsg))|~hBOOL(c_in(X0,c_Message_Oanalz(c_Set_Oinsert(X1,c_NS__Shared__Mirabelle_Ons__shared,tc_Message_Omsg)),tc_Message_Omsg))|~hBOOL(c_in(X1,c_NS__Shared__Mirabelle_Ons__shared,X2)))),
% 4.32/0.94 inference(resolution,[status(thm)],[f1254,f1937])).
% 4.32/0.94 fof(f2985,plain,(
% 4.32/0.94 ![X0]: (~hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,v_A)),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs),X0))|spl0_1)),
% 4.32/0.94 inference(resolution,[status(thm)],[f1343,f2294])).
% 4.32/0.94 fof(f3126,plain,(
% 4.32/0.94 ![X0,X1,X2]: (~hBOOL(c_in(X0,c_Message_Oanalz(c_Set_Oinsert(X1,c_NS__Shared__Mirabelle_Ons__shared,tc_Message_Omsg)),tc_Message_Omsg))|~hBOOL(c_in(X1,c_NS__Shared__Mirabelle_Ons__shared,X2))|c_Message_Oanalz(c_Set_Oinsert(X0,c_NS__Shared__Mirabelle_Ons__shared,tc_Message_Omsg))=c_Message_Oanalz(c_NS__Shared__Mirabelle_Ons__shared))),
% 4.32/0.94 inference(resolution,[status(thm)],[f2754,f1443])).
% 4.32/0.94 fof(f3133,plain,(
% 4.32/0.94 spl0_10 <=> ~hBOOL(c_in(X0,c_NS__Shared__Mirabelle_Ons__shared,X1))),
% 4.32/0.94 introduced(split_symbol_definition)).
% 4.32/0.94 fof(f3134,plain,(
% 4.32/0.94 ![X0,X1]: (~hBOOL(c_in(X0,c_NS__Shared__Mirabelle_Ons__shared,X1))|~spl0_10)),
% 4.32/0.94 inference(component_clause,[status(thm)],[f3133])).
% 4.32/0.94 fof(f3136,plain,(
% 4.32/0.94 spl0_11 <=> c_Message_Oanalz(c_Set_Oinsert(X2,c_NS__Shared__Mirabelle_Ons__shared,tc_Message_Omsg))=c_Message_Oanalz(c_NS__Shared__Mirabelle_Ons__shared)|~hBOOL(c_in(X2,c_Set_Oinsert(v_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_Message_Omsg),X3))),
% 4.32/0.94 introduced(split_symbol_definition)).
% 4.32/0.94 fof(f3139,plain,(
% 4.32/0.94 ![X0,X1,X2,X3]: (~hBOOL(c_in(X0,c_NS__Shared__Mirabelle_Ons__shared,X1))|c_Message_Oanalz(c_Set_Oinsert(X2,c_NS__Shared__Mirabelle_Ons__shared,tc_Message_Omsg))=c_Message_Oanalz(c_NS__Shared__Mirabelle_Ons__shared)|~hBOOL(c_in(X2,c_Set_Oinsert(v_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_Message_Omsg),X3)))),
% 4.32/0.94 inference(resolution,[status(thm)],[f3126,f1873])).
% 4.32/0.94 fof(f3140,plain,(
% 4.32/0.94 spl0_10|spl0_11),
% 4.32/0.94 inference(split_clause,[status(thm)],[f3139,f3133,f3136])).
% 4.32/0.94 fof(f3141,plain,(
% 4.32/0.94 spl0_12 <=> c_Message_Oanalz(c_Set_Oinsert(X2,c_NS__Shared__Mirabelle_Ons__shared,tc_Message_Omsg))=c_Message_Oanalz(c_NS__Shared__Mirabelle_Ons__shared)|~hBOOL(c_in(X2,c_Message_Oanalz(c_NS__Shared__Mirabelle_Ons__shared),X3))),
% 4.32/0.94 introduced(split_symbol_definition)).
% 4.32/0.94 fof(f3144,plain,(
% 4.32/0.94 ![X0,X1,X2,X3]: (~hBOOL(c_in(X0,c_NS__Shared__Mirabelle_Ons__shared,X1))|c_Message_Oanalz(c_Set_Oinsert(X2,c_NS__Shared__Mirabelle_Ons__shared,tc_Message_Omsg))=c_Message_Oanalz(c_NS__Shared__Mirabelle_Ons__shared)|~hBOOL(c_in(X2,c_Message_Oanalz(c_NS__Shared__Mirabelle_Ons__shared),X3)))),
% 4.32/0.94 inference(resolution,[status(thm)],[f3126,f1880])).
% 4.32/0.94 fof(f3145,plain,(
% 4.32/0.94 spl0_10|spl0_12),
% 4.32/0.94 inference(split_clause,[status(thm)],[f3144,f3133,f3141])).
% 4.32/0.94 fof(f3146,plain,(
% 4.32/0.94 spl0_13 <=> c_Message_Oanalz(c_Set_Oinsert(X2,c_NS__Shared__Mirabelle_Ons__shared,tc_Message_Omsg))=c_Message_Oanalz(c_NS__Shared__Mirabelle_Ons__shared)|~hBOOL(c_in(X2,c_NS__Shared__Mirabelle_Ons__shared,X3))),
% 4.32/0.95 introduced(split_symbol_definition)).
% 4.32/0.95 fof(f3149,plain,(
% 4.32/0.95 ![X0,X1,X2,X3]: (~hBOOL(c_in(X0,c_NS__Shared__Mirabelle_Ons__shared,X1))|c_Message_Oanalz(c_Set_Oinsert(X2,c_NS__Shared__Mirabelle_Ons__shared,tc_Message_Omsg))=c_Message_Oanalz(c_NS__Shared__Mirabelle_Ons__shared)|~hBOOL(c_in(X2,c_NS__Shared__Mirabelle_Ons__shared,X3)))),
% 4.32/0.95 inference(resolution,[status(thm)],[f3126,f1929])).
% 4.32/0.95 fof(f3150,plain,(
% 4.32/0.95 spl0_10|spl0_13),
% 4.32/0.95 inference(split_clause,[status(thm)],[f3149,f3133,f3146])).
% 4.32/0.95 fof(f3164,plain,(
% 4.32/0.95 $false|~spl0_10),
% 4.32/0.95 inference(backward_subsumption_resolution,[status(thm)],[f1304,f3134])).
% 4.32/0.95 fof(f3165,plain,(
% 4.32/0.95 ~spl0_10),
% 4.32/0.95 inference(contradiction_clause,[status(thm)],[f3164])).
% 4.32/0.95 fof(f3823,plain,(
% 4.32/0.95 ![X0]: (hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,v_A)),c_Event_Oknows(c_Message_Oagent_OSpy,X0),tc_Message_Omsg))|~spl0_0)),
% 4.32/0.95 inference(resolution,[status(thm)],[f1296,f1339])).
% 4.32/0.95 fof(f3966,plain,(
% 4.32/0.95 $false|~spl0_0|spl0_1),
% 4.32/0.95 inference(resolution,[status(thm)],[f3823,f2985])).
% 4.32/0.95 fof(f3967,plain,(
% 4.32/0.95 ~spl0_0|spl0_1),
% 4.32/0.95 inference(contradiction_clause,[status(thm)],[f3966])).
% 4.32/0.95 fof(f4036,plain,(
% 4.32/0.95 hBOOL(hAPP(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,v_A))))|~spl0_1),
% 4.32/0.95 inference(paramodulation,[status(thm)],[f2327,f1052])).
% 4.32/0.95 fof(f4037,plain,(
% 4.32/0.95 ![X0]: (hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,v_A)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),X0))|~spl0_1)),
% 4.32/0.95 inference(resolution,[status(thm)],[f4036,f1300])).
% 4.32/0.95 fof(f4392,plain,(
% 4.32/0.95 ![X0]: (hBOOL(c_in(X0,c_Event_Obad,tc_Message_Oagent))|~hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X0)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg)))),
% 4.32/0.95 inference(resolution,[status(thm)],[f1290,f1304])).
% 4.32/0.95 fof(f4925,plain,(
% 4.32/0.95 hBOOL(c_in(v_A,c_Event_Obad,tc_Message_Oagent))|~spl0_1),
% 4.32/0.95 inference(resolution,[status(thm)],[f4392,f4037])).
% 4.32/0.95 fof(f4926,plain,(
% 4.32/0.95 spl0_0|~spl0_1),
% 4.32/0.95 inference(split_clause,[status(thm)],[f4925,f1338,f1341])).
% 4.32/0.95 fof(f4929,plain,(
% 4.32/0.95 $false),
% 4.32/0.95 inference(sat_refutation,[status(thm)],[f1344,f1345,f3140,f3145,f3150,f3165,f3967,f4926])).
% 4.32/0.95 % SZS output end CNFRefutation for theBenchmark.p
% 4.32/0.95 % Elapsed time: 0.599145 seconds
% 4.32/0.95 % CPU time: 4.387189 seconds
% 4.32/0.95 % Total memory used: 190.297 MB
% 4.32/0.95 % Net memory used: 187.770 MB
%------------------------------------------------------------------------------