TSTP Solution File: SWV756-1 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SWV756-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n013.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed May 31 12:43:56 EDT 2023
% Result : Unsatisfiable 243.60s 31.06s
% Output : CNFRefutation 246.67s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 10
% Syntax : Number of formulae : 32 ( 12 unt; 0 def)
% Number of atoms : 63 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 59 ( 28 ~; 27 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 6 ( 5 usr; 5 prp; 0-1 aty)
% Number of functors : 19 ( 19 usr; 10 con; 0-3 aty)
% Number of variables : 13 (; 13 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f453,axiom,
! [V_K,V_H,V_X] :
( hBOOL(c_in(V_K,c_Message_OkeysFor(V_H),tc_nat))
| ~ hBOOL(c_in(V_K,c_Message_OsymKeys,tc_nat))
| ~ hBOOL(c_in(c_Message_Omsg_OCrypt(V_K,V_X),V_H,tc_Message_Omsg)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f470,axiom,
! [V_K,V_evs] :
( ~ hBOOL(c_in(V_K,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs))),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_OsymKeys,tc_nat))
| hBOOL(c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Event_Oused(V_evs),tc_Message_Omsg)) ),
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(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(f1219,plain,
! [V_K,V_H] :
( hBOOL(c_in(V_K,c_Message_OkeysFor(V_H),tc_nat))
| ~ hBOOL(c_in(V_K,c_Message_OsymKeys,tc_nat))
| ! [V_X] : ~ hBOOL(c_in(c_Message_Omsg_OCrypt(V_K,V_X),V_H,tc_Message_Omsg)) ),
inference(miniscoping,[status(esa)],[f453]) ).
fof(f1220,plain,
! [X0,X1,X2] :
( hBOOL(c_in(X0,c_Message_OkeysFor(X1),tc_nat))
| ~ hBOOL(c_in(X0,c_Message_OsymKeys,tc_nat))
| ~ hBOOL(c_in(c_Message_Omsg_OCrypt(X0,X2),X1,tc_Message_Omsg)) ),
inference(cnf_transformation,[status(esa)],[f1219]) ).
fof(f1249,plain,
! [X0,X1] :
( ~ hBOOL(c_in(X0,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X1))),tc_nat))
| ~ hBOOL(c_in(X1,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
| ~ hBOOL(c_in(X0,c_Message_OsymKeys,tc_nat))
| hBOOL(c_in(hAPP(c_Message_Omsg_OKey,X0),c_Event_Oused(X1),tc_Message_Omsg)) ),
inference(cnf_transformation,[status(esa)],[f470]) ).
fof(f1362,plain,
hBOOL(c_in(v_evs2,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))),
inference(cnf_transformation,[status(esa)],[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(esa)],[f550]) ).
fof(f1364,plain,
hBOOL(c_in(v_KAB,c_Message_OsymKeys,tc_nat)),
inference(cnf_transformation,[status(esa)],[f551]) ).
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(esa)],[f559]) ).
fof(f5275,plain,
( spl0_19
<=> hBOOL(c_in(v_KAB,c_Message_OsymKeys,tc_nat)) ),
introduced(split_symbol_definition) ).
fof(f5277,plain,
( ~ hBOOL(c_in(v_KAB,c_Message_OsymKeys,tc_nat))
| spl0_19 ),
inference(component_clause,[status(thm)],[f5275]) ).
fof(f31639,plain,
( $false
| spl0_19 ),
inference(forward_subsumption_resolution,[status(thm)],[f5277,f1364]) ).
fof(f31640,plain,
spl0_19,
inference(contradiction_clause,[status(thm)],[f31639]) ).
fof(f110524,plain,
( spl0_1618
<=> hBOOL(c_in(v_evs2,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))) ),
introduced(split_symbol_definition) ).
fof(f110526,plain,
( ~ hBOOL(c_in(v_evs2,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
| spl0_1618 ),
inference(component_clause,[status(thm)],[f110524]) ).
fof(f126416,plain,
( $false
| spl0_1618 ),
inference(forward_subsumption_resolution,[status(thm)],[f110526,f1362]) ).
fof(f126417,plain,
spl0_1618,
inference(contradiction_clause,[status(thm)],[f126416]) ).
fof(f126418,plain,
( spl0_2038
<=> hBOOL(c_in(v_KAB,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2))),tc_nat)) ),
introduced(split_symbol_definition) ).
fof(f126419,plain,
( hBOOL(c_in(v_KAB,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2))),tc_nat))
| ~ spl0_2038 ),
inference(component_clause,[status(thm)],[f126418]) ).
fof(f126421,plain,
( hBOOL(c_in(v_KAB,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2))),tc_nat))
| ~ hBOOL(c_in(v_KAB,c_Message_OsymKeys,tc_nat)) ),
inference(resolution,[status(thm)],[f1220,f1372]) ).
fof(f126422,plain,
( spl0_2038
| ~ spl0_19 ),
inference(split_clause,[status(thm)],[f126421,f126418,f5275]) ).
fof(f138805,plain,
( spl0_2164
<=> hBOOL(c_in(hAPP(c_Message_Omsg_OKey,v_KAB),c_Event_Oused(v_evs2),tc_Message_Omsg)) ),
introduced(split_symbol_definition) ).
fof(f138806,plain,
( hBOOL(c_in(hAPP(c_Message_Omsg_OKey,v_KAB),c_Event_Oused(v_evs2),tc_Message_Omsg))
| ~ spl0_2164 ),
inference(component_clause,[status(thm)],[f138805]) ).
fof(f138808,plain,
( ~ hBOOL(c_in(v_evs2,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
| ~ hBOOL(c_in(v_KAB,c_Message_OsymKeys,tc_nat))
| hBOOL(c_in(hAPP(c_Message_Omsg_OKey,v_KAB),c_Event_Oused(v_evs2),tc_Message_Omsg))
| ~ spl0_2038 ),
inference(resolution,[status(thm)],[f1249,f126419]) ).
fof(f138809,plain,
( ~ spl0_1618
| ~ spl0_19
| spl0_2164
| ~ spl0_2038 ),
inference(split_clause,[status(thm)],[f138808,f110524,f5275,f138805,f126418]) ).
fof(f138826,plain,
( $false
| ~ spl0_2164 ),
inference(forward_subsumption_resolution,[status(thm)],[f138806,f1363]) ).
fof(f138827,plain,
~ spl0_2164,
inference(contradiction_clause,[status(thm)],[f138826]) ).
fof(f138828,plain,
$false,
inference(sat_refutation,[status(thm)],[f31640,f126417,f126422,f138809,f138827]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : SWV756-1 : TPTP v8.1.2. Released v4.1.0.
% 0.00/0.10 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.30 % Computer : n013.cluster.edu
% 0.09/0.30 % Model : x86_64 x86_64
% 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30 % Memory : 8042.1875MB
% 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.31 % CPULimit : 300
% 0.09/0.31 % WCLimit : 300
% 0.09/0.31 % DateTime : Tue May 30 11:37:35 EDT 2023
% 0.09/0.31 % CPUTime :
% 0.15/0.34 % Drodi V3.5.1
% 243.60/31.06 % Refutation found
% 243.60/31.06 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 243.60/31.06 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 250.68/32.45 % Elapsed time: 31.913213 seconds
% 250.68/32.45 % CPU time: 224.096725 seconds
% 250.68/32.45 % Memory used: 1.861 GB
%------------------------------------------------------------------------------