%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWV727-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n011.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 1.18s 0.60s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV727-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n011.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Mon Sep 21 09:22:11 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.12/0.39 % Drodi V4.1.1
% 1.18/0.60 % Refutation found
% 1.18/0.60 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 1.18/0.60 % SZS output start CNFRefutation for theBenchmark
% 1.18/0.60 fof(f67,axiom,(
% 1.18/0.60 (![V_A,V_B,T_a]: (c_Lattices_Oupper__semilattice__class_Osup(V_A,c_HOL_Ominus__class_Ominus(V_B,V_A,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)) ))),
% 1.18/0.60 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.18/0.60 fof(f76,axiom,(
% 1.18/0.60 (![V_A,T_a]: (c_HOL_Ominus__class_Ominus(V_A,V_A,tc_fun(T_a,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ))),
% 1.18/0.60 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.18/0.60 fof(f110,axiom,(
% 1.18/0.60 (![V_A,T_a]: (c_Lattices_Oupper__semilattice__class_Osup(V_A,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = V_A ))),
% 1.18/0.60 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.18/0.60 fof(f256,axiom,(
% 1.18/0.60 (![V_K]: (( c_Message_OinvKey(V_K) = V_K| ~ c_in(V_K,c_Message_OsymKeys,tc_nat) ) ))),
% 1.18/0.60 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.18/0.60 fof(f384,axiom,(
% 1.18/0.60 (![V_K,V_H,V_G,V_X]: (( c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(V_K)),c_Message_Oparts(V_H),tc_Message_Omsg)| c_in(V_K,c_Message_OkeysFor(c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(V_G,V_H,tc_fun(tc_Message_Omsg,tc_bool)))),tc_nat)| ~ c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg)| ~ c_in(V_K,c_Message_OkeysFor(c_Message_Oparts(c_Set_Oinsert(V_X,V_G,tc_Message_Omsg))),tc_nat) ) ))),
% 1.18/0.60 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.18/0.60 fof(f421,axiom,(
% 1.18/0.60 (![V_c,V_evs]: (( c_in(V_c,c_Event_Oused(V_evs),tc_Message_Omsg)| ~ c_in(V_c,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg) ) ))),
% 1.18/0.60 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.18/0.60 fof(f462,negated_conjecture,(
% 1.18/0.60 c_in(v_K,c_Message_OsymKeys,tc_nat) ),
% 1.18/0.60 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.18/0.60 fof(f464,negated_conjecture,(
% 1.18/0.60 c_in(v_X,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg) ),
% 1.18/0.60 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.18/0.60 fof(f466,negated_conjecture,(
% 1.18/0.60 ~ c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Event_Oused(v_evsf),tc_Message_Omsg) ),
% 1.18/0.60 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.18/0.60 fof(f467,negated_conjecture,(
% 1.18/0.60 c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(c_Set_Oinsert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg))),tc_nat) ),
% 1.18/0.60 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.18/0.60 fof(f468,negated_conjecture,(
% 1.18/0.60 ( ~ c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_nat)| c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Event_Oused(v_evsf),tc_Message_Omsg) ) ),
% 1.18/0.60 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.18/0.60 fof(f582,plain,(
% 1.18/0.60 ![X0,X1,X2]: (c_Lattices_Oupper__semilattice__class_Osup(X0,c_HOL_Ominus__class_Ominus(X1,X0,tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(X0,X1,tc_fun(X2,tc_bool)))),
% 1.18/0.60 inference(cnf_transformation,[status(thm)],[f67])).
% 1.18/0.60 fof(f595,plain,(
% 1.18/0.60 ![X0,X1]: (c_HOL_Ominus__class_Ominus(X0,X0,tc_fun(X1,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)))),
% 1.18/0.60 inference(cnf_transformation,[status(thm)],[f76])).
% 1.18/0.60 fof(f638,plain,(
% 1.18/0.60 ![X0,X1]: (c_Lattices_Oupper__semilattice__class_Osup(X0,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool))=X0)),
% 1.18/0.60 inference(cnf_transformation,[status(thm)],[f110])).
% 1.18/0.60 fof(f848,plain,(
% 1.18/0.60 ![X0]: (c_Message_OinvKey(X0)=X0|~c_in(X0,c_Message_OsymKeys,tc_nat))),
% 1.18/0.60 inference(cnf_transformation,[status(thm)],[f256])).
% 1.18/0.60 fof(f1042,plain,(
% 1.18/0.60 ![V_K,V_G,V_X]: ((![V_H]: ((c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(V_K)),c_Message_Oparts(V_H),tc_Message_Omsg)|c_in(V_K,c_Message_OkeysFor(c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(V_G,V_H,tc_fun(tc_Message_Omsg,tc_bool)))),tc_nat))|~c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg)))|~c_in(V_K,c_Message_OkeysFor(c_Message_Oparts(c_Set_Oinsert(V_X,V_G,tc_Message_Omsg))),tc_nat))),
% 1.18/0.60 inference(miniscoping,[status(thm)],[f384])).
% 1.18/0.60 fof(f1043,plain,(
% 1.18/0.60 ![X0,X1,X2,X3]: (c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(X0)),c_Message_Oparts(X1),tc_Message_Omsg)|c_in(X0,c_Message_OkeysFor(c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(X2,X1,tc_fun(tc_Message_Omsg,tc_bool)))),tc_nat)|~c_in(X3,c_Message_Osynth(c_Message_Oanalz(X1)),tc_Message_Omsg)|~c_in(X0,c_Message_OkeysFor(c_Message_Oparts(c_Set_Oinsert(X3,X2,tc_Message_Omsg))),tc_nat))),
% 1.18/0.60 inference(cnf_transformation,[status(thm)],[f1042])).
% 1.18/0.60 fof(f1093,plain,(
% 1.18/0.60 ![X0,X1]: (c_in(X0,c_Event_Oused(X1),tc_Message_Omsg)|~c_in(X0,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg))),
% 1.18/0.60 inference(cnf_transformation,[status(thm)],[f421])).
% 1.18/0.60 fof(f1143,plain,(
% 1.18/0.60 c_in(v_K,c_Message_OsymKeys,tc_nat)),
% 1.18/0.60 inference(cnf_transformation,[status(thm)],[f462])).
% 1.18/0.60 fof(f1145,plain,(
% 1.18/0.60 c_in(v_X,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg)),
% 1.18/0.60 inference(cnf_transformation,[status(thm)],[f464])).
% 1.18/0.60 fof(f1147,plain,(
% 1.18/0.60 ~c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Event_Oused(v_evsf),tc_Message_Omsg)),
% 1.18/0.60 inference(cnf_transformation,[status(thm)],[f466])).
% 1.18/0.60 fof(f1148,plain,(
% 1.18/0.60 c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(c_Set_Oinsert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg))),tc_nat)),
% 1.18/0.60 inference(cnf_transformation,[status(thm)],[f467])).
% 1.18/0.60 fof(f1149,plain,(
% 1.18/0.60 ~c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_nat)|c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Event_Oused(v_evsf),tc_Message_Omsg)),
% 1.18/0.60 inference(cnf_transformation,[status(thm)],[f468])).
% 1.18/0.60 fof(f1220,plain,(
% 1.18/0.60 ~c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_nat)),
% 1.18/0.60 inference(forward_subsumption_resolution,[status(thm)],[f1149,f1147])).
% 1.18/0.60 fof(f1309,plain,(
% 1.18/0.60 c_Message_OinvKey(v_K)=v_K),
% 1.18/0.60 inference(resolution,[status(thm)],[f848,f1143])).
% 1.18/0.60 fof(f2207,plain,(
% 1.18/0.60 ![X0,X1]: (c_Lattices_Oupper__semilattice__class_Osup(X0,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(X0,X0,tc_fun(X1,tc_bool)))),
% 1.18/0.60 inference(paramodulation,[status(thm)],[f595,f582])).
% 1.18/0.60 fof(f2224,plain,(
% 1.18/0.60 ![X0,X1]: (X0=c_Lattices_Oupper__semilattice__class_Osup(X0,X0,tc_fun(X1,tc_bool)))),
% 1.18/0.60 inference(forward_demodulation,[status(thm)],[f638,f2207])).
% 1.18/0.60 fof(f2475,plain,(
% 1.18/0.60 ![X0,X1]: (c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(X0)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg)|c_in(X0,c_Message_OkeysFor(c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(X1,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_fun(tc_Message_Omsg,tc_bool)))),tc_nat)|~c_in(X0,c_Message_OkeysFor(c_Message_Oparts(c_Set_Oinsert(v_X,X1,tc_Message_Omsg))),tc_nat))),
% 1.18/0.60 inference(resolution,[status(thm)],[f1043,f1145])).
% 1.18/0.60 fof(f2729,plain,(
% 1.18/0.60 c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(v_K)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg)|c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_fun(tc_Message_Omsg,tc_bool)))),tc_nat)),
% 1.18/0.60 inference(resolution,[status(thm)],[f2475,f1148])).
% 1.18/0.60 fof(f2735,plain,(
% 1.18/0.60 c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg)|c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_fun(tc_Message_Omsg,tc_bool)))),tc_nat)),
% 1.18/0.60 inference(forward_demodulation,[status(thm)],[f1309,f2729])).
% 1.18/0.60 fof(f2736,plain,(
% 1.18/0.60 c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg)|c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_nat)),
% 1.18/0.60 inference(forward_demodulation,[status(thm)],[f2224,f2735])).
% 1.18/0.60 fof(f2737,plain,(
% 1.18/0.60 c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg)),
% 1.18/0.62 inference(forward_subsumption_resolution,[status(thm)],[f2736,f1220])).
% 1.18/0.62 fof(f3306,plain,(
% 1.18/0.62 c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Event_Oused(v_evsf),tc_Message_Omsg)),
% 1.18/0.62 inference(resolution,[status(thm)],[f1093,f2737])).
% 1.18/0.62 fof(f3312,plain,(
% 1.18/0.62 $false),
% 1.18/0.62 inference(forward_subsumption_resolution,[status(thm)],[f3306,f1147])).
% 1.18/0.62 % SZS output end CNFRefutation for theBenchmark.p
% 1.18/0.64 % Elapsed time: 0.266660 seconds
% 1.18/0.64 % CPU time: 1.693111 seconds
% 1.18/0.64 % Total memory used: 161.940 MB
% 1.18/0.64 % Net memory used: 160.331 MB
%------------------------------------------------------------------------------