%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWV313-2 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n014.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 02:47:17 PM UTC 2026
% Result : Unsatisfiable 0.10s 10.39s
% Output : CNFRefutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 12
% Syntax : Number of formulae : 38 ( 16 unt; 4 def)
% Number of atoms : 89 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 88 ( 37 ~; 47 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 6 ( 5 usr; 5 prp; 0-3 aty)
% Number of functors : 23 ( 23 usr; 13 con; 0-3 aty)
% Number of variables : 42 ( 42 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_B,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K)))))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
~ c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K)))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,negated_conjecture,
~ c_in(v_A,c_Event_Obad,tc_Message_Oagent),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,negated_conjecture,
~ c_in(v_B,c_Event_Obad,tc_Message_Oagent),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,negated_conjecture,
c_in(v_evs,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,negated_conjecture,
c_in(c_Message_Omsg_OKey(v_K),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs),tc_Message_Omsg),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [V_X,V_H] :
( c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg)
| ~ c_in(V_X,V_H,tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,axiom,
! [V_evs,V_B,V_NA,V_A,V_K,V_NB] :
( c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(V_NA,c_Message_Omsg_OMPair(V_NB,c_Message_Omsg_OKey(V_K)))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)
| c_in(V_A,c_Event_Obad,tc_Message_Oagent)
| c_in(V_B,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(c_Message_Omsg_OKey(V_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,V_B,c_Message_Omsg_OMPair(V_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A),c_Message_Omsg_OMPair(V_NA,c_Message_Omsg_OKey(V_K))),c_Message_Omsg_OCrypt(c_Public_OshrK(V_B),c_Message_Omsg_OMPair(V_NB,c_Message_Omsg_OKey(V_K)))))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(V_evs,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,plain,
c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_B,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K)))))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f10,plain,
~ c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K)))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f11,plain,
~ c_in(v_A,c_Event_Obad,tc_Message_Oagent),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f12,plain,
~ c_in(v_B,c_Event_Obad,tc_Message_Oagent),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f13,plain,
c_in(v_evs,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f14,plain,
c_in(c_Message_Omsg_OKey(v_K),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs),tc_Message_Omsg),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f15,plain,
! [X0,X1] :
( c_in(X0,c_Message_Oanalz(X1),tc_Message_Omsg)
| ~ c_in(X0,X1,tc_Message_Omsg) ),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f16,plain,
! [V_evs,V_NA,V_K,V_NB] :
( c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(V_NA,c_Message_Omsg_OMPair(V_NB,c_Message_Omsg_OKey(V_K)))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)
| ! [V_A] :
( c_in(V_A,c_Event_Obad,tc_Message_Oagent)
| ! [V_B] :
( c_in(V_B,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(c_Message_Omsg_OKey(V_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,V_B,c_Message_Omsg_OMPair(V_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A),c_Message_Omsg_OMPair(V_NA,c_Message_Omsg_OKey(V_K))),c_Message_Omsg_OCrypt(c_Public_OshrK(V_B),c_Message_Omsg_OMPair(V_NB,c_Message_Omsg_OKey(V_K)))))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(V_evs,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)) ) ) ),
inference(miniscoping,[status(thm)],[f8]) ).
fof(f17,plain,
! [X0,X1,X2,X3,X4,X5] :
( c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(X2,c_Message_Omsg_OMPair(X5,c_Message_Omsg_OKey(X4)))),c_List_Oset(X0,tc_Event_Oevent),tc_Event_Oevent)
| c_in(X3,c_Event_Obad,tc_Message_Oagent)
| c_in(X1,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(c_Message_Omsg_OKey(X4),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X0)),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X1,c_Message_Omsg_OMPair(X2,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X3),c_Message_Omsg_OMPair(X2,c_Message_Omsg_OKey(X4))),c_Message_Omsg_OCrypt(c_Public_OshrK(X1),c_Message_Omsg_OMPair(X5,c_Message_Omsg_OKey(X4)))))),c_List_Oset(X0,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(X0,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)) ),
inference(cnf_transformation,[status(thm)],[f16]) ).
fof(f18,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ c_in(c_Message_Omsg_OKey(X4),c_Event_Oknows(c_Message_Oagent_OSpy,X0),tc_Message_Omsg)
| c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(X2,c_Message_Omsg_OMPair(X5,c_Message_Omsg_OKey(X4)))),c_List_Oset(X0,tc_Event_Oevent),tc_Event_Oevent)
| c_in(X3,c_Event_Obad,tc_Message_Oagent)
| c_in(X1,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X1,c_Message_Omsg_OMPair(X2,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X3),c_Message_Omsg_OMPair(X2,c_Message_Omsg_OKey(X4))),c_Message_Omsg_OCrypt(c_Public_OshrK(X1),c_Message_Omsg_OMPair(X5,c_Message_Omsg_OKey(X4)))))),c_List_Oset(X0,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(X0,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)) ),
inference(resolution,[status(thm)],[f17,f15]) ).
fof(f19,plain,
! [X0,X1,X2,X3] :
( c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(X3,c_Message_Omsg_OKey(v_K)))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent)
| c_in(X2,c_Event_Obad,tc_Message_Oagent)
| c_in(X0,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X0,c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X2),c_Message_Omsg_OMPair(X1,c_Message_Omsg_OKey(v_K))),c_Message_Omsg_OCrypt(c_Public_OshrK(X0),c_Message_Omsg_OMPair(X3,c_Message_Omsg_OKey(v_K)))))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(v_evs,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)) ),
inference(resolution,[status(thm)],[f18,f14]) ).
fof(f20,definition,
( sQ0_spl
<=> c_in(v_evs,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f22,plain,
( sQ0_spl
| ~ c_in(v_evs,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)) ),
inference(component_clause,[status(thm)],[f20]) ).
fof(f23,definition,
! [X0,X1,X2,X3] :
( sQ1_spl
<=> ( c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(X3,c_Message_Omsg_OKey(v_K)))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent)
| c_in(X2,c_Event_Obad,tc_Message_Oagent)
| c_in(X0,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X0,c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X2),c_Message_Omsg_OMPair(X1,c_Message_Omsg_OKey(v_K))),c_Message_Omsg_OCrypt(c_Public_OshrK(X0),c_Message_Omsg_OMPair(X3,c_Message_Omsg_OKey(v_K)))))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent) ) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f24,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(X3,c_Message_Omsg_OKey(v_K)))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent)
| c_in(X2,c_Event_Obad,tc_Message_Oagent)
| c_in(X0,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X0,c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X2),c_Message_Omsg_OMPair(X1,c_Message_Omsg_OKey(v_K))),c_Message_Omsg_OCrypt(c_Public_OshrK(X0),c_Message_Omsg_OMPair(X3,c_Message_Omsg_OKey(v_K)))))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent) ),
inference(component_clause,[status(thm)],[f23]) ).
fof(f26,plain,
( sQ1_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f19,f20,f23]) ).
fof(f27,plain,
( sQ0_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f22,f13]) ).
fof(f28,plain,
sQ0_spl,
inference(contradiction_clause,[status(thm)],[f27]) ).
fof(f29,plain,
! [X0,X1] :
( ~ sQ1_spl
| c_in(X1,c_Event_Obad,tc_Message_Oagent)
| c_in(X0,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X0,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X1),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),c_Message_Omsg_OCrypt(c_Public_OshrK(X0),c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K)))))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent) ),
inference(resolution,[status(thm)],[f24,f10]) ).
fof(f30,plain,
( ~ sQ1_spl
| c_in(v_A,c_Event_Obad,tc_Message_Oagent)
| c_in(v_B,c_Event_Obad,tc_Message_Oagent) ),
inference(resolution,[status(thm)],[f29,f9]) ).
fof(f31,definition,
( sQ2_spl
<=> c_in(v_B,c_Event_Obad,tc_Message_Oagent) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f32,plain,
( ~ sQ2_spl
| c_in(v_B,c_Event_Obad,tc_Message_Oagent) ),
inference(component_clause,[status(thm)],[f31]) ).
fof(f34,definition,
( sQ3_spl
<=> c_in(v_A,c_Event_Obad,tc_Message_Oagent) ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f35,plain,
( ~ sQ3_spl
| c_in(v_A,c_Event_Obad,tc_Message_Oagent) ),
inference(component_clause,[status(thm)],[f34]) ).
fof(f37,plain,
( ~ sQ1_spl
| sQ3_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f30,f31,f34,f23]) ).
fof(f38,plain,
( ~ sQ2_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f32,f12]) ).
fof(f39,plain,
~ sQ2_spl,
inference(contradiction_clause,[status(thm)],[f38]) ).
fof(f40,plain,
( ~ sQ3_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f35,f11]) ).
fof(f41,plain,
~ sQ3_spl,
inference(contradiction_clause,[status(thm)],[f40]) ).
fof(f42,plain,
$false,
inference(sat_refutation,[status(thm)],[f26,f28,f37,f39,f41]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV313-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/10.36 % Computer : n014.cluster.edu
% 0.10/10.36 % Model : x86_64 x86_64
% 0.10/10.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/10.36 % Memory : 8046.5625MB
% 0.10/10.36 % OS : Linux 6.8.0-71-generic
% 0.10/10.36 % CPULimit : 300
% 0.10/10.36 % WCLimit : 300
% 0.10/10.36 % DateTime : Mon Sep 21 08:40:16 UTC 2026
% 0.10/10.37 % CPUTime :
% 0.10/10.37 % Drodi V4.1.1
% 0.10/10.39 % Refutation found
% 0.10/10.39 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.10/10.39 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/10.41 % Elapsed time: 0.042678 seconds
% 0.14/10.41 % CPU time: 0.117230 seconds
% 0.14/10.41 % Total memory used: 17.296 MB
% 0.14/10.41 % Net memory used: 16.736 MB
%------------------------------------------------------------------------------