TSTP Solution File: SWV768-1 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SWV768-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n009.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 : Tue Apr 30 20:49:17 EDT 2024
% Result : Unsatisfiable 81.58s 10.69s
% Output : CNFRefutation 82.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 14
% Syntax : Number of formulae : 46 ( 16 unt; 0 def)
% Number of atoms : 82 ( 3 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 69 ( 33 ~; 32 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 7 ( 5 usr; 5 prp; 0-2 aty)
% Number of functors : 21 ( 21 usr; 10 con; 0-3 aty)
% Number of variables : 36 ( 36 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f235,axiom,
! [V_K] :
( hBOOL(c_in(V_K,c_Message_OsymKeys,tc_nat))
| ~ hBOOL(c_in(c_Message_OinvKey(V_K),c_Message_OsymKeys,tc_nat)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f337,axiom,
! [V_K] :
( c_Message_OinvKey(V_K) = V_K
| ~ hBOOL(c_in(V_K,c_Message_OsymKeys,tc_nat)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f390,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/sandbox/benchmark/theBenchmark.p') ).
fof(f445,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(f512,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/sandbox/benchmark/theBenchmark.p') ).
fof(f513,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/sandbox/benchmark/theBenchmark.p') ).
fof(f538,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(f539,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(f540,negated_conjecture,
hBOOL(c_in(v_KAB,c_Message_OsymKeys,tc_nat)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f550,negated_conjecture,
hBOOL(c_in(c_Message_Omsg_OCrypt(v_KAB,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),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(f912,plain,
! [X0] :
( hBOOL(c_in(X0,c_Message_OsymKeys,tc_nat))
| ~ hBOOL(c_in(c_Message_OinvKey(X0),c_Message_OsymKeys,tc_nat)) ),
inference(cnf_transformation,[status(esa)],[f235]) ).
fof(f1055,plain,
! [X0] :
( c_Message_OinvKey(X0) = X0
| ~ hBOOL(c_in(X0,c_Message_OsymKeys,tc_nat)) ),
inference(cnf_transformation,[status(esa)],[f337]) ).
fof(f1128,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)],[f390]) ).
fof(f1129,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)],[f1128]) ).
fof(f1218,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)],[f445]) ).
fof(f1319,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)],[f512]) ).
fof(f1320,plain,
! [X0,X1,X2] :
( hBOOL(c_in(X0,X1,X2))
| ~ hBOOL(hAPP(X1,X0)) ),
inference(cnf_transformation,[status(esa)],[f1319]) ).
fof(f1321,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)],[f513]) ).
fof(f1322,plain,
! [X0,X1,X2] :
( hBOOL(hAPP(X0,X1))
| ~ hBOOL(c_in(X1,X0,X2)) ),
inference(cnf_transformation,[status(esa)],[f1321]) ).
fof(f1353,plain,
hBOOL(c_in(v_evs2,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))),
inference(cnf_transformation,[status(esa)],[f538]) ).
fof(f1354,plain,
~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,v_KAB),c_Event_Oused(v_evs2),tc_Message_Omsg)),
inference(cnf_transformation,[status(esa)],[f539]) ).
fof(f1355,plain,
hBOOL(c_in(v_KAB,c_Message_OsymKeys,tc_nat)),
inference(cnf_transformation,[status(esa)],[f540]) ).
fof(f1365,plain,
hBOOL(c_in(c_Message_Omsg_OCrypt(v_KAB,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),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)],[f550]) ).
fof(f1477,plain,
c_Message_OinvKey(v_KAB) = v_KAB,
inference(resolution,[status(thm)],[f1055,f1355]) ).
fof(f1495,plain,
hBOOL(hAPP(c_Message_OsymKeys,v_KAB)),
inference(resolution,[status(thm)],[f1322,f1355]) ).
fof(f2292,plain,
! [X0] :
( hBOOL(c_in(X0,c_Message_OsymKeys,tc_nat))
| ~ hBOOL(hAPP(c_Message_OsymKeys,c_Message_OinvKey(X0))) ),
inference(resolution,[status(thm)],[f912,f1320]) ).
fof(f2294,plain,
( spl0_17
<=> hBOOL(c_in(v_KAB,c_Message_OsymKeys,tc_nat)) ),
introduced(split_symbol_definition) ).
fof(f2301,plain,
( spl0_18
<=> hBOOL(hAPP(c_Message_OsymKeys,v_KAB)) ),
introduced(split_symbol_definition) ).
fof(f2303,plain,
( ~ hBOOL(hAPP(c_Message_OsymKeys,v_KAB))
| spl0_18 ),
inference(component_clause,[status(thm)],[f2301]) ).
fof(f2304,plain,
( hBOOL(c_in(v_KAB,c_Message_OsymKeys,tc_nat))
| ~ hBOOL(hAPP(c_Message_OsymKeys,v_KAB)) ),
inference(paramodulation,[status(thm)],[f1477,f2292]) ).
fof(f2305,plain,
( spl0_17
| ~ spl0_18 ),
inference(split_clause,[status(thm)],[f2304,f2294,f2301]) ).
fof(f2306,plain,
( $false
| spl0_18 ),
inference(forward_subsumption_resolution,[status(thm)],[f2303,f1495]) ).
fof(f2307,plain,
spl0_18,
inference(contradiction_clause,[status(thm)],[f2306]) ).
fof(f17636,plain,
( spl0_543
<=> hBOOL(c_in(v_evs2,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))) ),
introduced(split_symbol_definition) ).
fof(f17638,plain,
( ~ hBOOL(c_in(v_evs2,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
| spl0_543 ),
inference(component_clause,[status(thm)],[f17636]) ).
fof(f17689,plain,
( $false
| spl0_543 ),
inference(forward_subsumption_resolution,[status(thm)],[f17638,f1353]) ).
fof(f17690,plain,
spl0_543,
inference(contradiction_clause,[status(thm)],[f17689]) ).
fof(f47486,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)),
inference(resolution,[status(thm)],[f1129,f1365]) ).
fof(f47487,plain,
hBOOL(c_in(v_KAB,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2))),tc_nat)),
inference(forward_demodulation,[status(thm)],[f1477,f47486]) ).
fof(f58712,plain,
( spl0_1291
<=> hBOOL(c_in(hAPP(c_Message_Omsg_OKey,v_KAB),c_Event_Oused(v_evs2),tc_Message_Omsg)) ),
introduced(split_symbol_definition) ).
fof(f58713,plain,
( hBOOL(c_in(hAPP(c_Message_Omsg_OKey,v_KAB),c_Event_Oused(v_evs2),tc_Message_Omsg))
| ~ spl0_1291 ),
inference(component_clause,[status(thm)],[f58712]) ).
fof(f58715,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)) ),
inference(resolution,[status(thm)],[f1218,f47487]) ).
fof(f58716,plain,
( ~ spl0_543
| ~ spl0_17
| spl0_1291 ),
inference(split_clause,[status(thm)],[f58715,f17636,f2294,f58712]) ).
fof(f58729,plain,
( $false
| ~ spl0_1291 ),
inference(forward_subsumption_resolution,[status(thm)],[f58713,f1354]) ).
fof(f58730,plain,
~ spl0_1291,
inference(contradiction_clause,[status(thm)],[f58729]) ).
fof(f58731,plain,
$false,
inference(sat_refutation,[status(thm)],[f2305,f2307,f17690,f58716,f58730]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : SWV768-1 : TPTP v8.1.2. Released v4.1.0.
% 0.00/0.09 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.29 % Computer : n009.cluster.edu
% 0.09/0.29 % Model : x86_64 x86_64
% 0.09/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29 % Memory : 8042.1875MB
% 0.09/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29 % CPULimit : 300
% 0.09/0.29 % WCLimit : 300
% 0.09/0.29 % DateTime : Tue Apr 30 00:38:10 EDT 2024
% 0.09/0.29 % CPUTime :
% 0.14/0.33 % Drodi V3.6.0
% 81.58/10.69 % Refutation found
% 81.58/10.69 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 81.58/10.69 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 83.35/10.88 % Elapsed time: 10.570623 seconds
% 83.35/10.88 % CPU time: 83.125045 seconds
% 83.35/10.88 % Total memory used: 772.351 MB
% 83.35/10.88 % Net memory used: 760.179 MB
%------------------------------------------------------------------------------