%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWV763-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -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 02:49:30 PM UTC 2026
% Result : Unsatisfiable 47.10s 6.45s
% Output : CNFRefutation 28.66s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 13
% Syntax : Number of formulae : 48 ( 24 unt; 3 def)
% Number of atoms : 78 ( 5 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 59 ( 29 ~; 27 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 6 ( 4 usr; 4 prp; 0-2 aty)
% Number of functors : 21 ( 21 usr; 11 con; 0-3 aty)
% Number of variables : 35 ( 35 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f291,axiom,
! [V_K] :
( ~ hBOOL(c_in(V_K,c_Message_OsymKeys,tc_nat))
| c_Message_OinvKey(V_K) = V_K ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f306,axiom,
! [V_K,V_H,V_X] :
( ~ hBOOL(c_in(c_Message_Omsg_OCrypt(V_K,V_X),V_H,tc_Message_Omsg))
| hBOOL(c_in(c_Message_OinvKey(V_K),c_Message_OkeysFor(V_H),tc_nat)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f482,axiom,
! [V_K,V_evs] :
( hBOOL(c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Event_Oused(V_evs),tc_Message_Omsg))
| ~ hBOOL(c_in(V_K,c_Message_OsymKeys,tc_nat))
| ~ hBOOL(c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
| ~ hBOOL(c_in(V_K,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs))),tc_nat)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f540,axiom,
! [V_x,V_S,T_a] :
( ~ hBOOL(hAPP(V_S,V_x))
| hBOOL(c_in(V_x,V_S,T_a)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f541,axiom,
! [V_S,V_x,T_a] :
( ~ hBOOL(c_in(V_x,V_S,T_a))
| hBOOL(hAPP(V_S,V_x)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f562,negated_conjecture,
hBOOL(c_in(v_evs2,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f563,negated_conjecture,
~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,v_KAB),c_Event_Oused(v_evs2),tc_Message_Omsg)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f564,negated_conjecture,
hBOOL(c_in(v_KAB,c_Message_OsymKeys,tc_nat)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f570,negated_conjecture,
v_K = v_KAB,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f572,negated_conjecture,
hBOOL(c_in(c_Message_Omsg_OCrypt(v_KAB,c_Message_Omsg_ONonce(v_NB)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),tc_Message_Omsg)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f1016,plain,
! [X0] :
( ~ hBOOL(c_in(X0,c_Message_OsymKeys,tc_nat))
| c_Message_OinvKey(X0) = X0 ),
inference(cnf_transformation,[status(thm)],[f291]) ).
fof(f1039,plain,
! [V_K,V_H] :
( ! [V_X] : ~ hBOOL(c_in(c_Message_Omsg_OCrypt(V_K,V_X),V_H,tc_Message_Omsg))
| hBOOL(c_in(c_Message_OinvKey(V_K),c_Message_OkeysFor(V_H),tc_nat)) ),
inference(miniscoping,[status(thm)],[f306]) ).
fof(f1040,plain,
! [X0,X1,X2] :
( ~ hBOOL(c_in(c_Message_Omsg_OCrypt(X0,X2),X1,tc_Message_Omsg))
| hBOOL(c_in(c_Message_OinvKey(X0),c_Message_OkeysFor(X1),tc_nat)) ),
inference(cnf_transformation,[status(thm)],[f1039]) ).
fof(f1300,plain,
! [X0,X1] :
( hBOOL(c_in(hAPP(c_Message_Omsg_OKey,X0),c_Event_Oused(X1),tc_Message_Omsg))
| ~ hBOOL(c_in(X0,c_Message_OsymKeys,tc_nat))
| ~ hBOOL(c_in(X1,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
| ~ hBOOL(c_in(X0,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X1))),tc_nat)) ),
inference(cnf_transformation,[status(thm)],[f482]) ).
fof(f1385,plain,
! [V_x,V_S] :
( ~ hBOOL(hAPP(V_S,V_x))
| ! [T_a] : hBOOL(c_in(V_x,V_S,T_a)) ),
inference(miniscoping,[status(thm)],[f540]) ).
fof(f1386,plain,
! [X0,X1,X2] :
( ~ hBOOL(hAPP(X1,X0))
| hBOOL(c_in(X0,X1,X2)) ),
inference(cnf_transformation,[status(thm)],[f1385]) ).
fof(f1387,plain,
! [V_S,V_x] :
( ! [T_a] : ~ hBOOL(c_in(V_x,V_S,T_a))
| hBOOL(hAPP(V_S,V_x)) ),
inference(miniscoping,[status(thm)],[f541]) ).
fof(f1388,plain,
! [X0,X1,X2] :
( ~ hBOOL(c_in(X1,X0,X2))
| hBOOL(hAPP(X0,X1)) ),
inference(cnf_transformation,[status(thm)],[f1387]) ).
fof(f1415,plain,
hBOOL(c_in(v_evs2,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))),
inference(cnf_transformation,[status(thm)],[f562]) ).
fof(f1416,plain,
~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,v_KAB),c_Event_Oused(v_evs2),tc_Message_Omsg)),
inference(cnf_transformation,[status(thm)],[f563]) ).
fof(f1417,plain,
hBOOL(c_in(v_KAB,c_Message_OsymKeys,tc_nat)),
inference(cnf_transformation,[status(thm)],[f564]) ).
fof(f1423,plain,
v_K = v_KAB,
inference(cnf_transformation,[status(thm)],[f570]) ).
fof(f1425,plain,
hBOOL(c_in(c_Message_Omsg_OCrypt(v_KAB,c_Message_Omsg_ONonce(v_NB)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),tc_Message_Omsg)),
inference(cnf_transformation,[status(thm)],[f572]) ).
fof(f1491,plain,
~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Event_Oused(v_evs2),tc_Message_Omsg)),
inference(forward_demodulation,[status(thm)],[f1423,f1416]) ).
fof(f1497,plain,
hBOOL(c_in(v_K,c_Message_OsymKeys,tc_nat)),
inference(forward_demodulation,[status(thm)],[f1423,f1417]) ).
fof(f1518,plain,
hBOOL(c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_NB)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),tc_Message_Omsg)),
inference(forward_demodulation,[status(thm)],[f1423,f1425]) ).
fof(f2502,plain,
c_Message_OinvKey(v_K) = v_K,
inference(resolution,[status(thm)],[f1016,f1497]) ).
fof(f2507,definition,
( sQ19_spl
<=> hBOOL(c_in(v_K,c_Message_OsymKeys,tc_nat)) ),
introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition]) ).
fof(f2509,plain,
( sQ19_spl
| ~ hBOOL(c_in(v_K,c_Message_OsymKeys,tc_nat)) ),
inference(component_clause,[status(thm)],[f2507]) ).
fof(f3343,plain,
hBOOL(hAPP(c_Message_OsymKeys,v_K)),
inference(resolution,[status(thm)],[f1388,f1497]) ).
fof(f3346,plain,
hBOOL(hAPP(c_NS__Shared__Mirabelle_Ons__shared,v_evs2)),
inference(resolution,[status(thm)],[f1388,f1415]) ).
fof(f3401,plain,
! [X0] : hBOOL(c_in(v_K,c_Message_OsymKeys,X0)),
inference(resolution,[status(thm)],[f3343,f1386]) ).
fof(f3404,plain,
! [X0] : hBOOL(c_in(v_evs2,c_NS__Shared__Mirabelle_Ons__shared,X0)),
inference(resolution,[status(thm)],[f3346,f1386]) ).
fof(f4554,plain,
( sQ19_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2509,f3401]) ).
fof(f4555,plain,
sQ19_spl,
inference(contradiction_clause,[status(thm)],[f4554]) ).
fof(f4748,definition,
( sQ136_spl
<=> hBOOL(c_in(v_evs2,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))) ),
introduced(definition,[new_symbols(definition,[sQ136_spl])],[split_symbol_definition]) ).
fof(f4750,plain,
( sQ136_spl
| ~ hBOOL(c_in(v_evs2,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))) ),
inference(component_clause,[status(thm)],[f4748]) ).
fof(f4752,plain,
( sQ136_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4750,f3404]) ).
fof(f4753,plain,
sQ136_spl,
inference(contradiction_clause,[status(thm)],[f4752]) ).
fof(f16236,plain,
hBOOL(c_in(c_Message_OinvKey(v_K),c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2))),tc_nat)),
inference(resolution,[status(thm)],[f1518,f1040]) ).
fof(f16252,plain,
hBOOL(c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2))),tc_nat)),
inference(forward_demodulation,[status(thm)],[f2502,f16236]) ).
fof(f39002,plain,
( hBOOL(c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Event_Oused(v_evs2),tc_Message_Omsg))
| ~ hBOOL(c_in(v_K,c_Message_OsymKeys,tc_nat))
| ~ hBOOL(c_in(v_evs2,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))) ),
inference(resolution,[status(thm)],[f16252,f1300]) ).
fof(f39015,definition,
( sQ884_spl
<=> hBOOL(c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Event_Oused(v_evs2),tc_Message_Omsg)) ),
introduced(definition,[new_symbols(definition,[sQ884_spl])],[split_symbol_definition]) ).
fof(f39016,plain,
( ~ sQ884_spl
| hBOOL(c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Event_Oused(v_evs2),tc_Message_Omsg)) ),
inference(component_clause,[status(thm)],[f39015]) ).
fof(f39018,plain,
( sQ884_spl
| ~ sQ19_spl
| ~ sQ136_spl ),
inference(split_clause,[status(thm)],[f39002,f4748,f2507,f39015]) ).
fof(f39019,plain,
( ~ sQ884_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f39016,f1491]) ).
fof(f39020,plain,
~ sQ884_spl,
inference(contradiction_clause,[status(thm)],[f39019]) ).
fof(f39021,plain,
$false,
inference(sat_refutation,[status(thm)],[f4555,f4753,f39018,f39020]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV763-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.37 % Computer : n011.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Mon Sep 21 09:23:56 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.14/0.45 % Drodi V4.1.1
% 47.10/6.45 % Refutation found
% 47.10/6.45 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 47.10/6.45 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 2.67/7.50 % Elapsed time: 7.118160 seconds
% 2.67/7.50 % CPU time: 49.547987 seconds
% 2.67/7.50 % Total memory used: 744.122 MB
% 2.67/7.50 % Net memory used: 704.215 MB
%------------------------------------------------------------------------------