%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWV321-2 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n003.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 02:50:32 PM UTC 2026
% Result : Unsatisfiable 0.16s 0.47s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SWV321-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.07 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.16/0.45 % Computer : n003.cluster.edu
% 0.16/0.45 % Model : x86_64 x86_64
% 0.16/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.45 % Memory : 8046.5625MB
% 0.16/0.45 % OS : Linux 6.8.0-71-generic
% 0.16/0.45 % CPULimit : 300
% 0.16/0.45 % WCLimit : 300
% 0.16/0.45 % DateTime : Mon Sep 21 08:42:01 UTC 2026
% 0.16/0.45 % CPUTime :
% 0.16/0.46 % Drodi V4.1.1
% 0.16/0.47 % Refutation found
% 0.16/0.47 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.16/0.47 % SZS output start CNFRefutation for theBenchmark
% 0.16/0.47 fof(f1,negated_conjecture,(
% 0.16/0.47 c_in(v_X,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg) ),
% 0.16/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.47 fof(f2,negated_conjecture,(
% 0.16/0.47 ( c_in(v_A,c_Event_Obad,tc_Message_Oagent)| ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg) ) ),
% 0.16/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.47 fof(f3,negated_conjecture,(
% 0.16/0.47 ( ~ c_in(v_A,c_Event_Obad,tc_Message_Oagent)| ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),tc_Message_Omsg) ) ),
% 0.16/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.47 fof(f4,negated_conjecture,(
% 0.16/0.47 ( c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),tc_Message_Omsg)| c_in(v_A,c_Event_Obad,tc_Message_Oagent) ) ),
% 0.16/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.47 fof(f5,axiom,(
% 0.16/0.47 (![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) ) ))),
% 0.16/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.47 fof(f6,axiom,(
% 0.16/0.47 (![V_K,V_H]: (( ~ c_in(c_Message_Omsg_OKey(V_K),c_Message_Osynth(V_H),tc_Message_Omsg)| c_in(c_Message_Omsg_OKey(V_K),V_H,tc_Message_Omsg) ) ))),
% 0.16/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.47 fof(f7,axiom,(
% 0.16/0.47 (![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) ) ))),
% 0.16/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.47 fof(f8,axiom,(
% 0.16/0.47 (![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) ) ))),
% 0.16/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.47 fof(f9,axiom,(
% 0.16/0.47 (![V_A,V_evs]: (( ~ c_in(V_A,c_Event_Obad,tc_Message_Oagent)| c_in(c_Message_Omsg_OKey(c_Public_OshrK(V_A)),c_Event_Oknows(c_Message_Oagent_OSpy,V_evs),tc_Message_Omsg) ) ))),
% 0.16/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.47 fof(f10,axiom,(
% 0.16/0.47 (![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) ) ))),
% 0.16/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.47 fof(f11,axiom,(
% 0.16/0.47 (![V_a,V_B,T_a,V_b]: (( ~ c_in(V_a,V_B,T_a)| c_in(V_a,c_insert(V_b,V_B,T_a),T_a) ) ))),
% 0.16/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.47 fof(f12,plain,(
% 0.16/0.47 c_in(v_X,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg)),
% 0.16/0.47 inference(cnf_transformation,[status(thm)],[f1])).
% 0.16/0.47 fof(f13,plain,(
% 0.16/0.47 c_in(v_A,c_Event_Obad,tc_Message_Oagent)|~c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg)),
% 0.16/0.47 inference(cnf_transformation,[status(thm)],[f2])).
% 0.16/0.47 fof(f14,plain,(
% 0.16/0.47 ~c_in(v_A,c_Event_Obad,tc_Message_Oagent)|~c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),tc_Message_Omsg)),
% 0.16/0.47 inference(cnf_transformation,[status(thm)],[f3])).
% 0.16/0.47 fof(f15,plain,(
% 0.16/0.47 c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),tc_Message_Omsg)|c_in(v_A,c_Event_Obad,tc_Message_Oagent)),
% 0.16/0.47 inference(cnf_transformation,[status(thm)],[f4])).
% 0.16/0.47 fof(f16,plain,(
% 0.16/0.47 ![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))),
% 0.16/0.47 inference(miniscoping,[status(thm)],[f5])).
% 0.16/0.47 fof(f17,plain,(
% 0.16/0.47 ![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))),
% 0.16/0.47 inference(cnf_transformation,[status(thm)],[f16])).
% 0.16/0.47 fof(f18,plain,(
% 0.16/0.47 ![X0,X1]: (~c_in(c_Message_Omsg_OKey(X0),c_Message_Osynth(X1),tc_Message_Omsg)|c_in(c_Message_Omsg_OKey(X0),X1,tc_Message_Omsg))),
% 0.16/0.47 inference(cnf_transformation,[status(thm)],[f6])).
% 0.16/0.47 fof(f19,plain,(
% 0.16/0.47 ![X0,X1]: (~c_in(X0,c_Message_Oanalz(X1),tc_Message_Omsg)|c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg))),
% 0.16/0.47 inference(cnf_transformation,[status(thm)],[f7])).
% 0.16/0.47 fof(f20,plain,(
% 0.16/0.47 ![X0,X1]: (~c_in(X0,X1,tc_Message_Omsg)|c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg))),
% 0.16/0.47 inference(cnf_transformation,[status(thm)],[f8])).
% 0.16/0.47 fof(f21,plain,(
% 0.16/0.47 ![V_A]: (~c_in(V_A,c_Event_Obad,tc_Message_Oagent)|(![V_evs]: c_in(c_Message_Omsg_OKey(c_Public_OshrK(V_A)),c_Event_Oknows(c_Message_Oagent_OSpy,V_evs),tc_Message_Omsg)))),
% 0.16/0.47 inference(miniscoping,[status(thm)],[f9])).
% 0.16/0.47 fof(f22,plain,(
% 0.16/0.47 ![X0,X1]: (~c_in(X0,c_Event_Obad,tc_Message_Oagent)|c_in(c_Message_Omsg_OKey(c_Public_OshrK(X0)),c_Event_Oknows(c_Message_Oagent_OSpy,X1),tc_Message_Omsg))),
% 0.16/0.47 inference(cnf_transformation,[status(thm)],[f21])).
% 0.16/0.47 fof(f23,plain,(
% 0.16/0.47 ![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))),
% 0.16/0.47 inference(miniscoping,[status(thm)],[f10])).
% 0.16/0.47 fof(f24,plain,(
% 0.16/0.47 ![X0,X1,X2,X3]: (~c_in(X0,c_union(X1,X2,X3),X3)|c_in(X0,X2,X3)|c_in(X0,X1,X3))),
% 0.16/0.47 inference(cnf_transformation,[status(thm)],[f23])).
% 0.16/0.47 fof(f25,plain,(
% 0.16/0.47 ![V_a,V_B,T_a]: (~c_in(V_a,V_B,T_a)|(![V_b]: c_in(V_a,c_insert(V_b,V_B,T_a),T_a)))),
% 0.16/0.47 inference(miniscoping,[status(thm)],[f11])).
% 0.16/0.47 fof(f26,plain,(
% 0.16/0.47 ![X0,X1,X2,X3]: (~c_in(X0,X1,X2)|c_in(X0,c_insert(X3,X1,X2),X2))),
% 0.16/0.47 inference(cnf_transformation,[status(thm)],[f25])).
% 0.16/0.47 fof(f27,definition,(
% 0.16/0.47 sQ0_spl <=> (c_in(v_A,c_Event_Obad,tc_Message_Oagent))),
% 0.16/0.47 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.16/0.47 fof(f28,plain,(
% 0.16/0.47 c_in(v_A,c_Event_Obad,tc_Message_Oagent)|~sQ0_spl),
% 0.16/0.47 inference(component_clause,[status(thm)],[f27])).
% 0.16/0.47 fof(f30,definition,(
% 0.16/0.47 sQ1_spl <=> (c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg))),
% 0.16/0.47 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.16/0.47 fof(f32,plain,(
% 0.16/0.47 ~c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg)|sQ1_spl),
% 0.16/0.47 inference(component_clause,[status(thm)],[f30])).
% 0.16/0.47 fof(f33,plain,(
% 0.16/0.47 sQ0_spl|~sQ1_spl),
% 0.16/0.47 inference(split_clause,[status(thm)],[f13,f27,f30])).
% 0.16/0.47 fof(f34,definition,(
% 0.16/0.47 sQ2_spl <=> (c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),tc_Message_Omsg))),
% 0.16/0.47 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.16/0.47 fof(f35,plain,(
% 0.16/0.47 c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),tc_Message_Omsg)|~sQ2_spl),
% 0.16/0.47 inference(component_clause,[status(thm)],[f34])).
% 0.16/0.47 fof(f36,plain,(
% 0.16/0.47 ~c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),tc_Message_Omsg)|sQ2_spl),
% 0.16/0.47 inference(component_clause,[status(thm)],[f34])).
% 0.16/0.47 fof(f37,plain,(
% 0.16/0.47 ~sQ0_spl|~sQ2_spl),
% 0.16/0.47 inference(split_clause,[status(thm)],[f14,f27,f34])).
% 0.16/0.47 fof(f38,plain,(
% 0.16/0.47 sQ2_spl|sQ0_spl),
% 0.16/0.47 inference(split_clause,[status(thm)],[f15,f34,f27])).
% 0.16/0.47 fof(f39,plain,(
% 0.16/0.47 ~c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg),tc_Message_Omsg)|sQ2_spl),
% 0.16/0.47 inference(resolution,[status(thm)],[f20,f36])).
% 0.16/0.47 fof(f40,plain,(
% 0.16/0.47 ~c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)|sQ2_spl),
% 0.16/0.49 inference(resolution,[status(thm)],[f39,f26])).
% 0.16/0.49 fof(f41,plain,(
% 0.16/0.49 ~c_in(v_A,c_Event_Obad,tc_Message_Oagent)|sQ2_spl),
% 0.16/0.49 inference(resolution,[status(thm)],[f40,f22])).
% 0.16/0.49 fof(f42,plain,(
% 0.16/0.49 $false|~sQ0_spl|sQ2_spl),
% 0.16/0.49 inference(forward_subsumption_resolution,[status(thm)],[f41,f28])).
% 0.16/0.49 fof(f43,plain,(
% 0.16/0.49 ~sQ0_spl|sQ2_spl),
% 0.16/0.49 inference(contradiction_clause,[status(thm)],[f42])).
% 0.16/0.49 fof(f46,plain,(
% 0.16/0.49 ![X0]: (~c_in(X0,c_Message_Oparts(c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),tc_Message_Omsg)|c_in(X0,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))),
% 0.16/0.49 inference(resolution,[status(thm)],[f17,f12])).
% 0.16/0.49 fof(f47,plain,(
% 0.16/0.49 ![X0]: (~c_in(X0,c_Message_Oparts(c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),tc_Message_Omsg)|c_in(X0,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg)|c_in(X0,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg))),
% 0.16/0.49 inference(resolution,[status(thm)],[f46,f24])).
% 0.16/0.49 fof(f48,plain,(
% 0.16/0.49 c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg)|c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg)|~sQ2_spl),
% 0.16/0.49 inference(resolution,[status(thm)],[f47,f35])).
% 0.16/0.49 fof(f50,definition,(
% 0.16/0.49 sQ3_spl <=> (c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg))),
% 0.16/0.49 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.16/0.49 fof(f51,plain,(
% 0.16/0.49 c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg)|~sQ3_spl),
% 0.16/0.49 inference(component_clause,[status(thm)],[f50])).
% 0.16/0.49 fof(f53,plain,(
% 0.16/0.49 sQ1_spl|sQ3_spl|~sQ2_spl),
% 0.16/0.49 inference(split_clause,[status(thm)],[f48,f30,f50,f34])).
% 0.16/0.49 fof(f54,plain,(
% 0.16/0.49 c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg)|~sQ3_spl),
% 0.16/0.49 inference(resolution,[status(thm)],[f51,f18])).
% 0.16/0.49 fof(f56,plain,(
% 0.16/0.49 c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg)|~sQ3_spl),
% 0.16/0.49 inference(resolution,[status(thm)],[f54,f19])).
% 0.16/0.49 fof(f57,plain,(
% 0.16/0.49 $false|sQ1_spl|~sQ3_spl),
% 0.16/0.49 inference(forward_subsumption_resolution,[status(thm)],[f56,f32])).
% 0.16/0.49 fof(f58,plain,(
% 0.16/0.49 sQ1_spl|~sQ3_spl),
% 0.16/0.49 inference(contradiction_clause,[status(thm)],[f57])).
% 0.16/0.49 fof(f59,plain,(
% 0.16/0.49 $false),
% 0.16/0.49 inference(sat_refutation,[status(thm)],[f33,f37,f38,f43,f53,f58])).
% 0.16/0.49 % SZS output end CNFRefutation for theBenchmark.p
% 0.24/0.54 % Elapsed time: 0.084178 seconds
% 0.24/0.54 % CPU time: 0.046561 seconds
% 0.24/0.54 % Total memory used: 583.536 KB
% 0.24/0.54 % Net memory used: 582.176 KB
%------------------------------------------------------------------------------