TSTP Solution File: SWV763-1 by Drodi---3.5.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SWV763-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n018.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 12:43:58 EDT 2023
% Result : Unsatisfiable 121.78s 15.77s
% Output : CNFRefutation 123.30s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 15
% Syntax : Number of formulae : 57 ( 22 unt; 0 def)
% Number of atoms : 100 ( 5 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 81 ( 38 ~; 38 |; 0 &)
% ( 5 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 8 ( 6 usr; 6 prp; 0-2 aty)
% Number of functors : 21 ( 21 usr; 11 con; 0-3 aty)
% Number of variables : 36 (; 36 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f291,axiom,
! [V_K] :
( c_Message_OinvKey(V_K) = V_K
| ~ hBOOL(c_in(V_K,c_Message_OsymKeys,tc_nat)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f306,axiom,
! [V_K,V_H,V_X] :
( hBOOL(c_in(c_Message_OinvKey(V_K),c_Message_OkeysFor(V_H),tc_nat))
| ~ hBOOL(c_in(c_Message_Omsg_OCrypt(V_K,V_X),V_H,tc_Message_Omsg)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f482,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/sandbox2/benchmark/theBenchmark.p') ).
fof(f540,axiom,
! [V_x,V_S,T_a] :
( hBOOL(c_in(V_x,V_S,T_a))
| ~ hBOOL(hAPP(V_S,V_x)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f541,axiom,
! [V_S,V_x,T_a] :
( hBOOL(hAPP(V_S,V_x))
| ~ hBOOL(c_in(V_x,V_S,T_a)) ),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p') ).
fof(f564,negated_conjecture,
hBOOL(c_in(v_KAB,c_Message_OsymKeys,tc_nat)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f570,negated_conjecture,
v_K = v_KAB,
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p') ).
fof(f1016,plain,
! [X0] :
( c_Message_OinvKey(X0) = X0
| ~ hBOOL(c_in(X0,c_Message_OsymKeys,tc_nat)) ),
inference(cnf_transformation,[status(esa)],[f291]) ).
fof(f1039,plain,
! [V_K,V_H] :
( hBOOL(c_in(c_Message_OinvKey(V_K),c_Message_OkeysFor(V_H),tc_nat))
| ! [V_X] : ~ hBOOL(c_in(c_Message_Omsg_OCrypt(V_K,V_X),V_H,tc_Message_Omsg)) ),
inference(miniscoping,[status(esa)],[f306]) ).
fof(f1040,plain,
! [X0,X1,X2] :
( hBOOL(c_in(c_Message_OinvKey(X0),c_Message_OkeysFor(X1),tc_nat))
| ~ hBOOL(c_in(c_Message_Omsg_OCrypt(X0,X2),X1,tc_Message_Omsg)) ),
inference(cnf_transformation,[status(esa)],[f1039]) ).
fof(f1300,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)],[f482]) ).
fof(f1385,plain,
! [V_x,V_S] :
( ! [T_a] : hBOOL(c_in(V_x,V_S,T_a))
| ~ hBOOL(hAPP(V_S,V_x)) ),
inference(miniscoping,[status(esa)],[f540]) ).
fof(f1386,plain,
! [X0,X1,X2] :
( hBOOL(c_in(X0,X1,X2))
| ~ hBOOL(hAPP(X1,X0)) ),
inference(cnf_transformation,[status(esa)],[f1385]) ).
fof(f1387,plain,
! [V_S,V_x] :
( hBOOL(hAPP(V_S,V_x))
| ! [T_a] : ~ hBOOL(c_in(V_x,V_S,T_a)) ),
inference(miniscoping,[status(esa)],[f541]) ).
fof(f1388,plain,
! [X0,X1,X2] :
( hBOOL(hAPP(X0,X1))
| ~ hBOOL(c_in(X1,X0,X2)) ),
inference(cnf_transformation,[status(esa)],[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(esa)],[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(esa)],[f563]) ).
fof(f1417,plain,
hBOOL(c_in(v_KAB,c_Message_OsymKeys,tc_nat)),
inference(cnf_transformation,[status(esa)],[f564]) ).
fof(f1423,plain,
v_K = v_KAB,
inference(cnf_transformation,[status(esa)],[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(esa)],[f572]) ).
fof(f1477,plain,
( spl0_3
<=> 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)) ),
introduced(split_symbol_definition) ).
fof(f1478,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))
| ~ spl0_3 ),
inference(component_clause,[status(thm)],[f1477]) ).
fof(f1479,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))
| spl0_3 ),
inference(component_clause,[status(thm)],[f1477]) ).
fof(f1613,plain,
c_Message_OinvKey(v_KAB) = v_KAB,
inference(resolution,[status(thm)],[f1016,f1417]) ).
fof(f1618,plain,
hBOOL(hAPP(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),c_Message_Omsg_OCrypt(v_KAB,c_Message_Omsg_ONonce(v_NB)))),
inference(resolution,[status(thm)],[f1388,f1425]) ).
fof(f1619,plain,
hBOOL(hAPP(c_NS__Shared__Mirabelle_Ons__shared,v_evs2)),
inference(resolution,[status(thm)],[f1388,f1415]) ).
fof(f1620,plain,
hBOOL(hAPP(c_Message_OsymKeys,v_KAB)),
inference(resolution,[status(thm)],[f1388,f1417]) ).
fof(f1621,plain,
! [X0] : hBOOL(c_in(v_evs2,c_NS__Shared__Mirabelle_Ons__shared,X0)),
inference(resolution,[status(thm)],[f1619,f1386]) ).
fof(f1622,plain,
! [X0] : hBOOL(c_in(v_KAB,c_Message_OsymKeys,X0)),
inference(resolution,[status(thm)],[f1620,f1386]) ).
fof(f2014,plain,
! [X0] : 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)),X0)),
inference(resolution,[status(thm)],[f1618,f1386]) ).
fof(f3649,plain,
( spl0_75
<=> hBOOL(c_in(v_KAB,c_Message_OsymKeys,tc_nat)) ),
introduced(split_symbol_definition) ).
fof(f3651,plain,
( ~ hBOOL(c_in(v_KAB,c_Message_OsymKeys,tc_nat))
| spl0_75 ),
inference(component_clause,[status(thm)],[f3649]) ).
fof(f10457,plain,
( $false
| spl0_75 ),
inference(forward_subsumption_resolution,[status(thm)],[f3651,f1622]) ).
fof(f10458,plain,
spl0_75,
inference(contradiction_clause,[status(thm)],[f10457]) ).
fof(f12143,plain,
( spl0_376
<=> hBOOL(c_in(v_evs2,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))) ),
introduced(split_symbol_definition) ).
fof(f12145,plain,
( ~ hBOOL(c_in(v_evs2,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
| spl0_376 ),
inference(component_clause,[status(thm)],[f12143]) ).
fof(f12150,plain,
( $false
| spl0_376 ),
inference(forward_subsumption_resolution,[status(thm)],[f12145,f1621]) ).
fof(f12151,plain,
spl0_376,
inference(contradiction_clause,[status(thm)],[f12150]) ).
fof(f21758,plain,
( spl0_495
<=> 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)) ),
introduced(split_symbol_definition) ).
fof(f21760,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))
| spl0_495 ),
inference(component_clause,[status(thm)],[f21758]) ).
fof(f22252,plain,
( $false
| spl0_495 ),
inference(forward_subsumption_resolution,[status(thm)],[f21760,f2014]) ).
fof(f22253,plain,
spl0_495,
inference(contradiction_clause,[status(thm)],[f22252]) ).
fof(f60550,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))
| spl0_3 ),
inference(forward_demodulation,[status(thm)],[f1423,f1479]) ).
fof(f60982,plain,
( ~ spl0_495
| spl0_3 ),
inference(split_clause,[status(thm)],[f60550,f21758,f1477]) ).
fof(f60983,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))
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f1423,f1478]) ).
fof(f61989,plain,
( hBOOL(c_in(c_Message_OinvKey(v_KAB),c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2))),tc_nat))
| ~ spl0_3 ),
inference(resolution,[status(thm)],[f60983,f1040]) ).
fof(f61990,plain,
( hBOOL(c_in(v_KAB,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2))),tc_nat))
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f1613,f61989]) ).
fof(f87211,plain,
( spl0_942
<=> hBOOL(c_in(hAPP(c_Message_Omsg_OKey,v_KAB),c_Event_Oused(v_evs2),tc_Message_Omsg)) ),
introduced(split_symbol_definition) ).
fof(f87212,plain,
( hBOOL(c_in(hAPP(c_Message_Omsg_OKey,v_KAB),c_Event_Oused(v_evs2),tc_Message_Omsg))
| ~ spl0_942 ),
inference(component_clause,[status(thm)],[f87211]) ).
fof(f87214,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_3 ),
inference(resolution,[status(thm)],[f1300,f61990]) ).
fof(f87215,plain,
( ~ spl0_376
| ~ spl0_75
| spl0_942
| ~ spl0_3 ),
inference(split_clause,[status(thm)],[f87214,f12143,f3649,f87211,f1477]) ).
fof(f87226,plain,
( $false
| ~ spl0_942 ),
inference(forward_subsumption_resolution,[status(thm)],[f87212,f1416]) ).
fof(f87227,plain,
~ spl0_942,
inference(contradiction_clause,[status(thm)],[f87226]) ).
fof(f87228,plain,
$false,
inference(sat_refutation,[status(thm)],[f10458,f12151,f22253,f60982,f87215,f87227]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.10 % Problem : SWV763-1 : TPTP v8.1.2. Released v4.1.0.
% 0.09/0.11 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.31 % Computer : n018.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.31 % CPULimit : 300
% 0.15/0.31 % WCLimit : 300
% 0.15/0.31 % DateTime : Tue May 30 11:50:40 EDT 2023
% 0.15/0.31 % CPUTime :
% 0.15/0.35 % Drodi V3.5.1
% 121.78/15.77 % Refutation found
% 121.78/15.77 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 121.78/15.77 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 125.95/17.30 % Elapsed time: 16.766909 seconds
% 125.95/17.30 % CPU time: 120.111614 seconds
% 125.95/17.30 % Memory used: 1.371 GB
%------------------------------------------------------------------------------