%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWV756-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n006.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 02:49:29 PM UTC 2026
% Result : Unsatisfiable 22.16s 3.25s
% Output : CNFRefutation 22.16s
% 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; 12 con; 0-3 aty)
% Number of variables : 35 ( 35 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f248,axiom,
! [V_K] :
( ~ hBOOL(c_in(V_K,c_Message_OsymKeys,tc_nat))
| hAPP(c_Message_OinvKey,V_K) = V_K ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f273,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(hAPP(c_Message_OinvKey,V_K),c_Message_OkeysFor(V_H),tc_nat)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f470,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(f527,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(f528,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(f549,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(f550,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(f551,negated_conjecture,
hBOOL(c_in(v_KAB,c_Message_OsymKeys,tc_nat)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f557,negated_conjecture,
v_K = v_KAB,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f559,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(f931,plain,
! [X0] :
( ~ hBOOL(c_in(X0,c_Message_OsymKeys,tc_nat))
| hAPP(c_Message_OinvKey,X0) = X0 ),
inference(cnf_transformation,[status(thm)],[f248]) ).
fof(f961,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(hAPP(c_Message_OinvKey,V_K),c_Message_OkeysFor(V_H),tc_nat)) ),
inference(miniscoping,[status(thm)],[f273]) ).
fof(f962,plain,
! [X0,X1,X2] :
( ~ hBOOL(c_in(c_Message_Omsg_OCrypt(X0,X2),X1,tc_Message_Omsg))
| hBOOL(c_in(hAPP(c_Message_OinvKey,X0),c_Message_OkeysFor(X1),tc_nat)) ),
inference(cnf_transformation,[status(thm)],[f961]) ).
fof(f1249,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)],[f470]) ).
fof(f1332,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)],[f527]) ).
fof(f1333,plain,
! [X0,X1,X2] :
( ~ hBOOL(hAPP(X1,X0))
| hBOOL(c_in(X0,X1,X2)) ),
inference(cnf_transformation,[status(thm)],[f1332]) ).
fof(f1334,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)],[f528]) ).
fof(f1335,plain,
! [X0,X1,X2] :
( ~ hBOOL(c_in(X1,X0,X2))
| hBOOL(hAPP(X0,X1)) ),
inference(cnf_transformation,[status(thm)],[f1334]) ).
fof(f1362,plain,
hBOOL(c_in(v_evs2,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))),
inference(cnf_transformation,[status(thm)],[f549]) ).
fof(f1363,plain,
~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,v_KAB),c_Event_Oused(v_evs2),tc_Message_Omsg)),
inference(cnf_transformation,[status(thm)],[f550]) ).
fof(f1364,plain,
hBOOL(c_in(v_KAB,c_Message_OsymKeys,tc_nat)),
inference(cnf_transformation,[status(thm)],[f551]) ).
fof(f1370,plain,
v_K = v_KAB,
inference(cnf_transformation,[status(thm)],[f557]) ).
fof(f1372,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)],[f559]) ).
fof(f1441,plain,
~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Event_Oused(v_evs2),tc_Message_Omsg)),
inference(forward_demodulation,[status(thm)],[f1370,f1363]) ).
fof(f1451,plain,
hBOOL(c_in(v_K,c_Message_OsymKeys,tc_nat)),
inference(forward_demodulation,[status(thm)],[f1370,f1364]) ).
fof(f1472,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)],[f1370,f1372]) ).
fof(f1500,plain,
hAPP(c_Message_OinvKey,v_K) = v_K,
inference(resolution,[status(thm)],[f931,f1451]) ).
fof(f1513,definition,
( sQ5_spl
<=> hBOOL(c_in(v_K,c_Message_OsymKeys,tc_nat)) ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f1515,plain,
( sQ5_spl
| ~ hBOOL(c_in(v_K,c_Message_OsymKeys,tc_nat)) ),
inference(component_clause,[status(thm)],[f1513]) ).
fof(f2896,plain,
hBOOL(hAPP(c_Message_OsymKeys,v_K)),
inference(resolution,[status(thm)],[f1335,f1451]) ).
fof(f2897,plain,
hBOOL(hAPP(c_NS__Shared__Mirabelle_Ons__shared,v_evs2)),
inference(resolution,[status(thm)],[f1335,f1362]) ).
fof(f2913,plain,
! [X0] : hBOOL(c_in(v_K,c_Message_OsymKeys,X0)),
inference(resolution,[status(thm)],[f2896,f1333]) ).
fof(f2914,plain,
! [X0] : hBOOL(c_in(v_evs2,c_NS__Shared__Mirabelle_Ons__shared,X0)),
inference(resolution,[status(thm)],[f2897,f1333]) ).
fof(f3929,plain,
( sQ5_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1515,f2913]) ).
fof(f3930,plain,
sQ5_spl,
inference(contradiction_clause,[status(thm)],[f3929]) ).
fof(f4334,definition,
( sQ92_spl
<=> hBOOL(c_in(v_evs2,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))) ),
introduced(definition,[new_symbols(definition,[sQ92_spl])],[split_symbol_definition]) ).
fof(f4336,plain,
( sQ92_spl
| ~ hBOOL(c_in(v_evs2,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))) ),
inference(component_clause,[status(thm)],[f4334]) ).
fof(f4338,plain,
( sQ92_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4336,f2914]) ).
fof(f4339,plain,
sQ92_spl,
inference(contradiction_clause,[status(thm)],[f4338]) ).
fof(f15108,plain,
hBOOL(c_in(hAPP(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)],[f962,f1472]) ).
fof(f15120,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)],[f1500,f15108]) ).
fof(f27607,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)],[f1249,f15120]) ).
fof(f27613,definition,
( sQ1360_spl
<=> hBOOL(c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Event_Oused(v_evs2),tc_Message_Omsg)) ),
introduced(definition,[new_symbols(definition,[sQ1360_spl])],[split_symbol_definition]) ).
fof(f27614,plain,
( ~ sQ1360_spl
| hBOOL(c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Event_Oused(v_evs2),tc_Message_Omsg)) ),
inference(component_clause,[status(thm)],[f27613]) ).
fof(f27616,plain,
( sQ1360_spl
| ~ sQ5_spl
| ~ sQ92_spl ),
inference(split_clause,[status(thm)],[f27607,f4334,f1513,f27613]) ).
fof(f27622,plain,
( ~ sQ1360_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f27614,f1441]) ).
fof(f27623,plain,
~ sQ1360_spl,
inference(contradiction_clause,[status(thm)],[f27622]) ).
fof(f27624,plain,
$false,
inference(sat_refutation,[status(thm)],[f3930,f4339,f27616,f27623]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV756-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.33 % Computer : n006.cluster.edu
% 0.10/0.33 % Model : x86_64 x86_64
% 0.10/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.33 % Memory : 8046.5625MB
% 0.10/0.33 % OS : Linux 6.8.0-71-generic
% 0.10/0.34 % CPULimit : 300
% 0.10/0.34 % WCLimit : 300
% 0.10/0.34 % DateTime : Mon Sep 21 09:23:27 UTC 2026
% 0.10/0.34 % CPUTime :
% 0.16/0.38 % Drodi V4.1.1
% 22.16/3.25 % Refutation found
% 22.16/3.25 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 22.16/3.25 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 1.64/3.36 % Elapsed time: 3.004293 seconds
% 1.64/3.36 % CPU time: 23.100591 seconds
% 1.64/3.36 % Total memory used: 498.240 MB
% 1.64/3.36 % Net memory used: 483.487 MB
%------------------------------------------------------------------------------