%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWV298-1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n017.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 02:47:13 PM UTC 2026
% Result : Unsatisfiable 158.92s 20.60s
% Output : CNFRefutation 159.93s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 32
% Syntax : Number of formulae : 140 ( 57 unt; 10 def)
% Number of atoms : 248 ( 42 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 221 ( 113 ~; 98 |; 0 &)
% ( 10 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 12 ( 2 avg)
% Number of predicates : 13 ( 11 usr; 11 prp; 0-3 aty)
% Number of functors : 34 ( 34 usr; 16 con; 0-3 aty)
% Number of variables : 219 ( 219 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f98,axiom,
! [V_x,T_a] : c_in(V_x,c_UNIV,T_a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f1312,axiom,
! [V_c,V_A,T_a] :
( c_in(V_c,c_uminus(V_A,tc_set(T_a)),T_a)
| c_in(V_c,V_A,T_a) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f1333,axiom,
! [V_a,T_a] : ~ c_in(V_a,c_emptyset,T_a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f1364,axiom,
! [V_agent_H,V_msg_H,V_agent1,V_agent2,V_msg] : c_Event_Oevent_ONotes(V_agent_H,V_msg_H) != c_Event_Oevent_OSays(V_agent1,V_agent2,V_msg),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f1382,axiom,
! [V_N,V_X,V_Y] : c_Message_Omsg_ONonce(V_N) != c_Message_OHPair(V_X,V_Y),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f1399,axiom,
! [V_X,V_x] : c_Message_Omsg_OMPair(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(V_X,V_x)),V_x) = c_Message_OHPair(V_X,V_x),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f1400,axiom,
! [V_X,V_Y,V_H] :
( c_in(V_Y,c_Message_Oparts(V_H),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Oparts(V_H),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f1401,axiom,
! [V_X,V_Y,V_H] :
( c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Oparts(V_H),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f1408,axiom,
! [V_nat_H] : c_Message_Oagent_OServer != c_Message_Oagent_OFriend(V_nat_H),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f1427,axiom,
! [V_X,V_H] :
( c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg)
| ~ c_in(V_X,V_H,tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f1428,axiom,
! [V_X] : ~ c_in(V_X,c_Message_Oparts(c_emptyset),tc_Message_Omsg),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f1429,axiom,
! [V_X,V_H] :
( c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg)
| ~ c_in(V_X,c_Message_Oparts(c_Message_Oparts(V_H)),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f1437,axiom,
! [V_A,V_B,V_X,V_evs] :
( c_in(V_X,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_OSays(V_A,V_B,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f1440,axiom,
! [V_c,V_H] :
( c_in(V_c,c_Message_Oparts(V_H),tc_Message_Omsg)
| ~ c_in(V_c,c_Message_Oanalz(V_H),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f1441,axiom,
! [V_K,V_X,V_H] :
( c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Oparts(V_H),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f1459,axiom,
! [V_A,V_b,V_C] : c_Public_OshrK(V_A) != c_Public_OpublicKey(V_b,V_C),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f1474,axiom,
! [V_evs,V_A,V_NA,V_C,V_B] :
( V_B = V_C
| c_in(V_A,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A),c_Message_Omsg_OMPair(V_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A),c_Message_Omsg_OAgent(V_B)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A),c_Message_Omsg_OMPair(V_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A),c_Message_Omsg_OAgent(V_C)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)
| ~ c_in(V_evs,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f1475,negated_conjecture,
~ c_in(v_A,c_Event_Obad,tc_Message_Oagent),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f1476,negated_conjecture,
c_in(v_evs3,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f1478,negated_conjecture,
c_in(c_Event_Oevent_OSays(v_A,v_B,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f1479,negated_conjecture,
c_in(c_Event_Oevent_OSays(v_Aa,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_Ba)))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_Ba)))))))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f1482,negated_conjecture,
! [V_U] :
( v_B != v_Ba
| V_U != c_Message_Omsg_ONonce(v_NB) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f1608,plain,
! [X0,X1] : c_in(X0,c_UNIV,X1),
inference(cnf_transformation,[status(thm)],[f98]) ).
fof(f2890,plain,
! [X0,X1,X2] :
( c_in(X0,X1,X2)
| c_in(X0,c_uminus(X1,tc_set(X2)),X2) ),
inference(cnf_transformation,[status(thm)],[f1312]) ).
fof(f2923,plain,
! [X0,X1] : ~ c_in(X0,c_emptyset,X1),
inference(cnf_transformation,[status(thm)],[f1333]) ).
fof(f2964,plain,
! [X0,X1,X2,X3,X4] : c_Event_Oevent_OSays(X0,X1,X2) != c_Event_Oevent_ONotes(X3,X4),
inference(cnf_transformation,[status(thm)],[f1364]) ).
fof(f2994,plain,
! [X0,X1,X2] : c_Message_Omsg_ONonce(X0) != c_Message_OHPair(X1,X2),
inference(cnf_transformation,[status(thm)],[f1382]) ).
fof(f3015,plain,
! [X0,X1] : c_Message_Omsg_OMPair(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(X0,X1)),X1) = c_Message_OHPair(X0,X1),
inference(cnf_transformation,[status(thm)],[f1399]) ).
fof(f3016,plain,
! [V_Y,V_H] :
( c_in(V_Y,c_Message_Oparts(V_H),tc_Message_Omsg)
| ! [V_X] : ~ c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Oparts(V_H),tc_Message_Omsg) ),
inference(miniscoping,[status(thm)],[f1400]) ).
fof(f3017,plain,
! [X0,X1,X2] :
( c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X0,X1),c_Message_Oparts(X2),tc_Message_Omsg) ),
inference(cnf_transformation,[status(thm)],[f3016]) ).
fof(f3018,plain,
! [V_X,V_H] :
( c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg)
| ! [V_Y] : ~ c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Oparts(V_H),tc_Message_Omsg) ),
inference(miniscoping,[status(thm)],[f1401]) ).
fof(f3019,plain,
! [X0,X1,X2] :
( ~ c_in(c_Message_Omsg_OMPair(X0,X2),c_Message_Oparts(X1),tc_Message_Omsg)
| c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg) ),
inference(cnf_transformation,[status(thm)],[f3018]) ).
fof(f3028,plain,
! [X0] : c_Message_Oagent_OServer != c_Message_Oagent_OFriend(X0),
inference(cnf_transformation,[status(thm)],[f1408]) ).
fof(f3052,plain,
! [X0,X1] :
( c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg)
| ~ c_in(X0,X1,tc_Message_Omsg) ),
inference(cnf_transformation,[status(thm)],[f1427]) ).
fof(f3053,plain,
! [X0] : ~ c_in(X0,c_Message_Oparts(c_emptyset),tc_Message_Omsg),
inference(cnf_transformation,[status(thm)],[f1428]) ).
fof(f3054,plain,
! [X0,X1] :
( c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg)
| ~ c_in(X0,c_Message_Oparts(c_Message_Oparts(X1)),tc_Message_Omsg) ),
inference(cnf_transformation,[status(thm)],[f1429]) ).
fof(f3062,plain,
! [V_X,V_evs] :
( c_in(V_X,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)
| ! [V_A,V_B] : ~ c_in(c_Event_Oevent_OSays(V_A,V_B,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent) ),
inference(miniscoping,[status(thm)],[f1437]) ).
fof(f3063,plain,
! [X0,X1,X2,X3] :
( ~ c_in(c_Event_Oevent_OSays(X2,X3,X0),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)
| c_in(X0,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg) ),
inference(cnf_transformation,[status(thm)],[f3062]) ).
fof(f3068,plain,
! [X0,X1] :
( c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg)
| ~ c_in(X0,c_Message_Oanalz(X1),tc_Message_Omsg) ),
inference(cnf_transformation,[status(thm)],[f1440]) ).
fof(f3069,plain,
! [V_X,V_H] :
( c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg)
| ! [V_K] : ~ c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Oparts(V_H),tc_Message_Omsg) ),
inference(miniscoping,[status(thm)],[f1441]) ).
fof(f3070,plain,
! [X0,X1,X2] :
( ~ c_in(c_Message_Omsg_OCrypt(X2,X0),c_Message_Oparts(X1),tc_Message_Omsg)
| c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg) ),
inference(cnf_transformation,[status(thm)],[f3069]) ).
fof(f3094,plain,
! [X0,X1,X2] : c_Public_OshrK(X0) != c_Public_OpublicKey(X1,X2),
inference(cnf_transformation,[status(thm)],[f1459]) ).
fof(f3111,plain,
! [V_C,V_B] :
( V_B = V_C
| ! [V_A] :
( c_in(V_A,c_Event_Obad,tc_Message_Oagent)
| ! [V_evs,V_NA] :
( ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A),c_Message_Omsg_OMPair(V_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A),c_Message_Omsg_OAgent(V_B)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A),c_Message_Omsg_OMPair(V_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A),c_Message_Omsg_OAgent(V_C)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)
| ~ c_in(V_evs,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)) ) ) ),
inference(miniscoping,[status(thm)],[f1474]) ).
fof(f3112,plain,
! [X0,X1,X2,X3,X4] :
( ~ c_in(X3,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))
| X2 = X4
| ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X0),c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X0),c_Message_Omsg_OAgent(X4)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg)
| c_in(X0,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X0),c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X0),c_Message_Omsg_OAgent(X2)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg) ),
inference(cnf_transformation,[status(thm)],[f3111]) ).
fof(f3113,plain,
~ c_in(v_A,c_Event_Obad,tc_Message_Oagent),
inference(cnf_transformation,[status(thm)],[f1475]) ).
fof(f3114,plain,
c_in(v_evs3,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)),
inference(cnf_transformation,[status(thm)],[f1476]) ).
fof(f3116,plain,
c_in(c_Event_Oevent_OSays(v_A,v_B,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent),
inference(cnf_transformation,[status(thm)],[f1478]) ).
fof(f3117,plain,
c_in(c_Event_Oevent_OSays(v_Aa,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_Ba)))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_Ba)))))))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent),
inference(cnf_transformation,[status(thm)],[f1479]) ).
fof(f3120,plain,
( v_B != v_Ba
| ! [V_U] : V_U != c_Message_Omsg_ONonce(v_NB) ),
inference(miniscoping,[status(thm)],[f1482]) ).
fof(f3121,plain,
! [X0] :
( v_B != v_Ba
| X0 != c_Message_Omsg_ONonce(v_NB) ),
inference(cnf_transformation,[status(thm)],[f3120]) ).
fof(f3122,definition,
! [X0] :
( sQ0_spl
<=> X0 != c_Message_Omsg_ONonce(v_NB) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f3123,plain,
! [X0] :
( ~ sQ0_spl
| X0 != c_Message_Omsg_ONonce(v_NB) ),
inference(component_clause,[status(thm)],[f3122]) ).
fof(f3125,definition,
( sQ1_spl
<=> v_B = v_Ba ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f3127,plain,
( sQ1_spl
| v_B != v_Ba ),
inference(component_clause,[status(thm)],[f3125]) ).
fof(f3128,plain,
( ~ sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f3121,f3122,f3125]) ).
fof(f3129,plain,
( ~ sQ0_spl
| $false ),
inference(destructive_equality_resolution,[status(thm)],[f3123]) ).
fof(f3130,plain,
~ sQ0_spl,
inference(contradiction_clause,[status(thm)],[f3129]) ).
fof(f3160,plain,
c_in(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_Ba)))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_Ba))))))))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg),
inference(resolution,[status(thm)],[f3063,f3117]) ).
fof(f3169,plain,
c_in(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B))))))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg),
inference(resolution,[status(thm)],[f3116,f3063]) ).
fof(f3258,plain,
! [X0,X1,X2] :
( ~ c_in(c_Message_Omsg_OCrypt(X2,X0),X1,tc_Message_Omsg)
| c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg) ),
inference(resolution,[status(thm)],[f3070,f3052]) ).
fof(f3260,plain,
! [X0,X1,X2] :
( c_in(X1,c_Message_Oparts(c_Message_Oparts(X2)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(X0,X1),X2,tc_Message_Omsg) ),
inference(resolution,[status(thm)],[f3258,f3052]) ).
fof(f3261,plain,
! [X0,X1,X2] :
( ~ c_in(c_Message_Omsg_OMPair(X2,X0),X1,tc_Message_Omsg)
| c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg) ),
inference(resolution,[status(thm)],[f3017,f3052]) ).
fof(f3271,plain,
! [X0,X1,X2] :
( c_in(X1,c_Message_Oparts(c_Message_Oparts(X2)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X0,X1),X2,tc_Message_Omsg) ),
inference(resolution,[status(thm)],[f3261,f3052]) ).
fof(f3365,plain,
! [X0,X1,X2] :
( ~ c_in(c_Message_OHPair(X2,X0),X1,tc_Message_Omsg)
| c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg) ),
inference(paramodulation,[status(thm)],[f3015,f3261]) ).
fof(f3366,plain,
! [X0,X1,X2] :
( ~ c_in(c_Message_OHPair(X2,X0),c_Message_Oparts(X1),tc_Message_Omsg)
| c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg) ),
inference(paramodulation,[status(thm)],[f3015,f3017]) ).
fof(f3456,plain,
! [X0,X1,X2] :
( ~ c_in(c_Message_Omsg_OMPair(X0,X2),X1,tc_Message_Omsg)
| c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg) ),
inference(resolution,[status(thm)],[f3019,f3052]) ).
fof(f3657,plain,
! [X0,X1,X2] :
( ~ c_in(c_Message_OHPair(X2,X0),X1,tc_Message_Omsg)
| c_in(X0,c_Message_Oparts(c_Message_Oparts(X1)),tc_Message_Omsg) ),
inference(resolution,[status(thm)],[f3365,f3052]) ).
fof(f3711,plain,
! [X0,X1,X2] :
( ~ c_in(c_Message_Omsg_OCrypt(X2,X0),X1,tc_Message_Omsg)
| c_in(X0,c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(X1))),tc_Message_Omsg) ),
inference(resolution,[status(thm)],[f3260,f3052]) ).
fof(f3807,plain,
! [X0,X1,X2] :
( c_in(X1,c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(X2))),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X0,X1),X2,tc_Message_Omsg) ),
inference(resolution,[status(thm)],[f3271,f3052]) ).
fof(f4233,plain,
! [X0,X1,X2] :
( ~ c_in(c_Message_OHPair(X2,X0),X1,tc_Message_Omsg)
| c_in(X0,c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(X1))),tc_Message_Omsg) ),
inference(resolution,[status(thm)],[f3657,f3052]) ).
fof(f4849,plain,
! [X0,X1,X2,X3] :
( c_in(X2,c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(X3))),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(X0,c_Message_Omsg_OMPair(X1,X2)),X3,tc_Message_Omsg) ),
inference(resolution,[status(thm)],[f3711,f3017]) ).
fof(f4867,plain,
! [X0,X1,X2,X3] :
( c_in(X1,c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(X3))),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X0,c_Message_Omsg_OMPair(X1,X2)),X3,tc_Message_Omsg) ),
inference(resolution,[status(thm)],[f3807,f3019]) ).
fof(f4868,plain,
! [X0,X1,X2,X3] :
( c_in(X2,c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(X3))),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X0,c_Message_Omsg_OMPair(X1,X2)),X3,tc_Message_Omsg) ),
inference(resolution,[status(thm)],[f3807,f3017]) ).
fof(f4915,plain,
! [X0,X1,X2,X3] :
( ~ c_in(c_Message_OHPair(X2,c_Message_Omsg_OMPair(X3,X0)),X1,tc_Message_Omsg)
| c_in(X0,c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(X1))),tc_Message_Omsg) ),
inference(resolution,[status(thm)],[f4233,f3017]) ).
fof(f4920,plain,
! [X0,X1,X2,X3] :
( c_in(X2,c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(X3))),tc_Message_Omsg)
| ~ c_in(c_Message_OHPair(X0,c_Message_Omsg_OCrypt(X1,X2)),X3,tc_Message_Omsg) ),
inference(resolution,[status(thm)],[f4233,f3070]) ).
fof(f8104,plain,
c_in(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_Ba)))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_Ba))))))))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg),
inference(resolution,[status(thm)],[f3068,f3160]) ).
fof(f8105,plain,
c_in(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B))))))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg),
inference(resolution,[status(thm)],[f3068,f3169]) ).
fof(f8111,plain,
c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg),
inference(resolution,[status(thm)],[f8105,f3017]) ).
fof(f8146,plain,
c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B))))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg),
inference(resolution,[status(thm)],[f8111,f3017]) ).
fof(f8174,plain,
c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg),
inference(resolution,[status(thm)],[f8146,f3017]) ).
fof(f8201,plain,
! [X0] :
( ~ c_in(v_evs3,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))
| X0 = v_B
| c_in(v_A,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(X0)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg) ),
inference(resolution,[status(thm)],[f8174,f3112]) ).
fof(f8227,definition,
! [X0] :
( sQ282_spl
<=> ( X0 = v_B
| ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(X0)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg) ) ),
introduced(definition,[new_symbols(definition,[sQ282_spl])],[split_symbol_definition]) ).
fof(f8228,plain,
! [X0] :
( ~ sQ282_spl
| v_B = X0
| ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(X0)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg) ),
inference(component_clause,[status(thm)],[f8227]) ).
fof(f8230,definition,
( sQ283_spl
<=> c_in(v_A,c_Event_Obad,tc_Message_Oagent) ),
introduced(definition,[new_symbols(definition,[sQ283_spl])],[split_symbol_definition]) ).
fof(f8231,plain,
( ~ sQ283_spl
| c_in(v_A,c_Event_Obad,tc_Message_Oagent) ),
inference(component_clause,[status(thm)],[f8230]) ).
fof(f8233,definition,
( sQ284_spl
<=> c_in(v_evs3,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)) ),
introduced(definition,[new_symbols(definition,[sQ284_spl])],[split_symbol_definition]) ).
fof(f8235,plain,
( sQ284_spl
| ~ c_in(v_evs3,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)) ),
inference(component_clause,[status(thm)],[f8233]) ).
fof(f8236,plain,
( ~ sQ284_spl
| sQ283_spl
| sQ282_spl ),
inference(split_clause,[status(thm)],[f8201,f8227,f8230,f8233]) ).
fof(f8242,plain,
( sQ284_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f8235,f3114]) ).
fof(f8243,plain,
sQ284_spl,
inference(contradiction_clause,[status(thm)],[f8242]) ).
fof(f8244,plain,
( ~ sQ283_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f8231,f3113]) ).
fof(f8245,plain,
~ sQ283_spl,
inference(contradiction_clause,[status(thm)],[f8244]) ).
fof(f8407,plain,
c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_Ba)))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_Ba)))))))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg),
inference(resolution,[status(thm)],[f8104,f3017]) ).
fof(f12393,plain,
! [X0] : c_in(X0,c_Message_Oparts(c_Message_Oparts(c_UNIV)),tc_Message_Omsg),
inference(resolution,[status(thm)],[f1608,f3271]) ).
fof(f12457,plain,
! [X0] : c_in(X0,c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_UNIV)))),tc_Message_Omsg),
inference(resolution,[status(thm)],[f12393,f3657]) ).
fof(f12475,plain,
! [X0] : c_in(X0,c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_UNIV))))),tc_Message_Omsg),
inference(resolution,[status(thm)],[f12393,f4849]) ).
fof(f12491,definition,
! [X0,X1] :
( sQ368_spl
<=> ( X0 = X1
| ~ c_in(X0,c_Message_Oparts(c_Message_Oparts(c_UNIV)),tc_Message_Omsg) ) ),
introduced(definition,[new_symbols(definition,[sQ368_spl])],[split_symbol_definition]) ).
fof(f12492,plain,
! [X0,X1] :
( ~ sQ368_spl
| X0 = X1
| ~ c_in(X0,c_Message_Oparts(c_Message_Oparts(c_UNIV)),tc_Message_Omsg) ),
inference(component_clause,[status(thm)],[f12491]) ).
fof(f12598,plain,
! [X0,X1] :
( ~ sQ368_spl
| X0 = X1 ),
inference(forward_subsumption_resolution,[status(thm)],[f12492,f12393]) ).
fof(f12612,plain,
( ~ sQ368_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f3094,f12598]) ).
fof(f12618,plain,
~ sQ368_spl,
inference(contradiction_clause,[status(thm)],[f12612]) ).
fof(f12805,plain,
! [X0] : c_in(X0,c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_UNIV)))))))),tc_Message_Omsg),
inference(resolution,[status(thm)],[f12475,f4920]) ).
fof(f13109,plain,
c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_Ba)))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_Ba))))))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg),
inference(resolution,[status(thm)],[f8407,f3017]) ).
fof(f13450,definition,
! [X0,X1] :
( sQ405_spl
<=> ( X1 = X0
| ~ c_in(X0,c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_UNIV)))),tc_Message_Omsg) ) ),
introduced(definition,[new_symbols(definition,[sQ405_spl])],[split_symbol_definition]) ).
fof(f13451,plain,
! [X0,X1] :
( ~ sQ405_spl
| X1 = X0
| ~ c_in(X0,c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_UNIV)))),tc_Message_Omsg) ),
inference(component_clause,[status(thm)],[f13450]) ).
fof(f13549,plain,
! [X0,X1] :
( ~ sQ405_spl
| X0 = X1 ),
inference(forward_subsumption_resolution,[status(thm)],[f13451,f12457]) ).
fof(f13553,plain,
( ~ sQ405_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2994,f13549]) ).
fof(f13556,plain,
~ sQ405_spl,
inference(contradiction_clause,[status(thm)],[f13553]) ).
fof(f14784,plain,
! [X0] : c_in(X0,c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_UNIV))))))))))),tc_Message_Omsg),
inference(resolution,[status(thm)],[f12805,f4915]) ).
fof(f15761,plain,
! [X0,X1,X2] :
( c_in(X0,c_Message_Oparts(c_uminus(X2,tc_set(tc_Message_Omsg))),tc_Message_Omsg)
| c_in(c_Message_Omsg_OMPair(X0,X1),X2,tc_Message_Omsg) ),
inference(resolution,[status(thm)],[f2890,f3456]) ).
fof(f15776,plain,
! [X0,X1,X2,X3] :
( c_in(c_Message_Omsg_OMPair(c_Message_OHPair(X2,X0),X3),X1,tc_Message_Omsg)
| c_in(X0,c_Message_Oparts(c_uminus(X1,tc_set(tc_Message_Omsg))),tc_Message_Omsg) ),
inference(resolution,[status(thm)],[f15761,f3366]) ).
fof(f16098,plain,
! [X0] : c_in(X0,c_Message_Oparts(c_uminus(c_Message_Oparts(c_emptyset),tc_set(tc_Message_Omsg))),tc_Message_Omsg),
inference(resolution,[status(thm)],[f15776,f3053]) ).
fof(f16100,plain,
! [X0] : c_in(X0,c_Message_Oparts(c_uminus(c_emptyset,tc_set(tc_Message_Omsg))),tc_Message_Omsg),
inference(resolution,[status(thm)],[f15776,f2923]) ).
fof(f16120,plain,
! [X0] : c_in(X0,c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_uminus(c_emptyset,tc_set(tc_Message_Omsg))))),tc_Message_Omsg),
inference(resolution,[status(thm)],[f16100,f3271]) ).
fof(f16159,plain,
! [X0] : c_in(X0,c_Message_Oparts(c_Message_Oparts(c_uminus(c_Message_Oparts(c_emptyset),tc_set(tc_Message_Omsg)))),tc_Message_Omsg),
inference(resolution,[status(thm)],[f16098,f3261]) ).
fof(f16229,plain,
! [X0] : c_in(X0,c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_uminus(c_emptyset,tc_set(tc_Message_Omsg)))))))),tc_Message_Omsg),
inference(resolution,[status(thm)],[f16120,f4868]) ).
fof(f16288,plain,
! [X0] : c_in(X0,c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_uminus(c_Message_Oparts(c_emptyset),tc_set(tc_Message_Omsg))))))),tc_Message_Omsg),
inference(resolution,[status(thm)],[f16159,f4867]) ).
fof(f17785,definition,
! [X0,X1] :
( sQ502_spl
<=> ( X1 = X0
| ~ c_in(X0,c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_uminus(c_Message_Oparts(c_emptyset),tc_set(tc_Message_Omsg))))))),tc_Message_Omsg) ) ),
introduced(definition,[new_symbols(definition,[sQ502_spl])],[split_symbol_definition]) ).
fof(f17786,plain,
! [X0,X1] :
( ~ sQ502_spl
| X1 = X0
| ~ c_in(X0,c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_uminus(c_Message_Oparts(c_emptyset),tc_set(tc_Message_Omsg))))))),tc_Message_Omsg) ),
inference(component_clause,[status(thm)],[f17785]) ).
fof(f17792,definition,
! [X0,X1] :
( sQ504_spl
<=> ( X1 = X0
| ~ c_in(X0,c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_UNIV))))))))))),tc_Message_Omsg) ) ),
introduced(definition,[new_symbols(definition,[sQ504_spl])],[split_symbol_definition]) ).
fof(f17793,plain,
! [X0,X1] :
( ~ sQ504_spl
| X1 = X0
| ~ c_in(X0,c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_UNIV))))))))))),tc_Message_Omsg) ),
inference(component_clause,[status(thm)],[f17792]) ).
fof(f17947,definition,
! [X0,X1] :
( sQ518_spl
<=> ( X1 = X0
| ~ c_in(X0,c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_uminus(c_emptyset,tc_set(tc_Message_Omsg)))))))),tc_Message_Omsg) ) ),
introduced(definition,[new_symbols(definition,[sQ518_spl])],[split_symbol_definition]) ).
fof(f17948,plain,
! [X0,X1] :
( ~ sQ518_spl
| X1 = X0
| ~ c_in(X0,c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_uminus(c_emptyset,tc_set(tc_Message_Omsg)))))))),tc_Message_Omsg) ),
inference(component_clause,[status(thm)],[f17947]) ).
fof(f18060,plain,
! [X0,X1] :
( ~ sQ502_spl
| X0 = X1 ),
inference(forward_subsumption_resolution,[status(thm)],[f17786,f16288]) ).
fof(f18061,plain,
! [X0,X1] :
( ~ sQ504_spl
| X0 = X1 ),
inference(forward_subsumption_resolution,[status(thm)],[f17793,f14784]) ).
fof(f18062,plain,
! [X0,X1] :
( ~ sQ518_spl
| X0 = X1 ),
inference(forward_subsumption_resolution,[status(thm)],[f17948,f16229]) ).
fof(f18079,plain,
( ~ sQ502_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2964,f18060]) ).
fof(f18086,plain,
~ sQ502_spl,
inference(contradiction_clause,[status(thm)],[f18079]) ).
fof(f18087,plain,
( ~ sQ504_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3028,f18061]) ).
fof(f18088,plain,
~ sQ504_spl,
inference(contradiction_clause,[status(thm)],[f18087]) ).
fof(f18089,plain,
( ~ sQ518_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2994,f18062]) ).
fof(f18090,plain,
~ sQ518_spl,
inference(contradiction_clause,[status(thm)],[f18089]) ).
fof(f19119,plain,
c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_Ba)))),c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3))))),tc_Message_Omsg),
inference(resolution,[status(thm)],[f13109,f4867]) ).
fof(f20332,plain,
c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_Ba)))),c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)))),tc_Message_Omsg),
inference(resolution,[status(thm)],[f19119,f3054]) ).
fof(f20375,plain,
c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_Ba)))),c_Message_Oparts(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3))),tc_Message_Omsg),
inference(resolution,[status(thm)],[f20332,f3054]) ).
fof(f20807,plain,
c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_Ba)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg),
inference(resolution,[status(thm)],[f20375,f3054]) ).
fof(f20984,plain,
( ~ sQ282_spl
| v_B = v_Ba ),
inference(resolution,[status(thm)],[f20807,f8228]) ).
fof(f21011,plain,
( ~ sQ282_spl
| sQ1_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f20984,f3127]) ).
fof(f21012,plain,
( ~ sQ282_spl
| sQ1_spl ),
inference(contradiction_clause,[status(thm)],[f21011]) ).
fof(f21013,plain,
$false,
inference(sat_refutation,[status(thm)],[f3128,f3130,f8236,f8243,f8245,f12618,f13556,f18086,f18088,f18090,f21012]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV298-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.03 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n017.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Mon Sep 21 08:34:12 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.13/0.42 % Drodi V4.1.1
% 158.92/20.60 % Refutation found
% 158.92/20.60 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 158.92/20.60 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 71.78/21.86 % Elapsed time: 21.276107 seconds
% 71.78/21.86 % CPU time: 156.268712 seconds
% 71.78/21.86 % Total memory used: 1.163 GB
% 71.78/21.86 % Net memory used: 1.077 GB
%------------------------------------------------------------------------------