TSTP Solution File: SWV763-1 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% 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 : n005.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 71.89s 9.46s
% Output : CNFRefutation 72.83s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 12
% Syntax : Number of formulae : 43 ( 19 unt; 0 def)
% Number of atoms : 73 ( 3 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 58 ( 28 ~; 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 : 20 ( 20 usr; 10 con; 0-3 aty)
% Number of variables : 35 ( 35 !; 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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/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(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] :
( 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(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(f1587,plain,
c_Message_OinvKey(v_KAB) = v_KAB,
inference(resolution,[status(thm)],[f1016,f1417]) ).
fof(f1612,plain,
hBOOL(hAPP(c_NS__Shared__Mirabelle_Ons__shared,v_evs2)),
inference(resolution,[status(thm)],[f1388,f1415]) ).
fof(f1613,plain,
hBOOL(hAPP(c_Message_OsymKeys,v_KAB)),
inference(resolution,[status(thm)],[f1388,f1417]) ).
fof(f1614,plain,
! [X0] : hBOOL(c_in(v_evs2,c_NS__Shared__Mirabelle_Ons__shared,X0)),
inference(resolution,[status(thm)],[f1612,f1386]) ).
fof(f4343,plain,
( spl0_40
<=> hBOOL(c_in(v_KAB,c_Message_OsymKeys,tc_nat)) ),
introduced(split_symbol_definition) ).
fof(f4345,plain,
( ~ hBOOL(c_in(v_KAB,c_Message_OsymKeys,tc_nat))
| spl0_40 ),
inference(component_clause,[status(thm)],[f4343]) ).
fof(f5106,plain,
! [X0] : hBOOL(c_in(v_KAB,c_Message_OsymKeys,X0)),
inference(resolution,[status(thm)],[f1613,f1386]) ).
fof(f9151,plain,
( $false
| spl0_40 ),
inference(forward_subsumption_resolution,[status(thm)],[f4345,f5106]) ).
fof(f9152,plain,
spl0_40,
inference(contradiction_clause,[status(thm)],[f9151]) ).
fof(f12222,plain,
( spl0_466
<=> hBOOL(c_in(v_evs2,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))) ),
introduced(split_symbol_definition) ).
fof(f12224,plain,
( ~ hBOOL(c_in(v_evs2,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
| spl0_466 ),
inference(component_clause,[status(thm)],[f12222]) ).
fof(f12238,plain,
( $false
| spl0_466 ),
inference(forward_subsumption_resolution,[status(thm)],[f12224,f1614]) ).
fof(f12239,plain,
spl0_466,
inference(contradiction_clause,[status(thm)],[f12238]) ).
fof(f41261,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)],[f1040,f1425]) ).
fof(f41262,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)],[f1587,f41261]) ).
fof(f57436,plain,
( spl0_1559
<=> hBOOL(c_in(hAPP(c_Message_Omsg_OKey,v_KAB),c_Event_Oused(v_evs2),tc_Message_Omsg)) ),
introduced(split_symbol_definition) ).
fof(f57437,plain,
( hBOOL(c_in(hAPP(c_Message_Omsg_OKey,v_KAB),c_Event_Oused(v_evs2),tc_Message_Omsg))
| ~ spl0_1559 ),
inference(component_clause,[status(thm)],[f57436]) ).
fof(f57439,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)],[f1300,f41262]) ).
fof(f57440,plain,
( ~ spl0_466
| ~ spl0_40
| spl0_1559 ),
inference(split_clause,[status(thm)],[f57439,f12222,f4343,f57436]) ).
fof(f57450,plain,
( $false
| ~ spl0_1559 ),
inference(forward_subsumption_resolution,[status(thm)],[f57437,f1416]) ).
fof(f57451,plain,
~ spl0_1559,
inference(contradiction_clause,[status(thm)],[f57450]) ).
fof(f57452,plain,
$false,
inference(sat_refutation,[status(thm)],[f9152,f12239,f57440,f57451]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : SWV763-1 : TPTP v8.1.2. Released v4.1.0.
% 0.03/0.14 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.35 % Computer : n005.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Apr 30 00:49:41 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.20/0.40 % Drodi V3.6.0
% 71.89/9.46 % Refutation found
% 71.89/9.46 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 71.89/9.46 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 73.58/9.68 % Elapsed time: 9.308452 seconds
% 73.58/9.68 % CPU time: 73.069016 seconds
% 73.58/9.68 % Total memory used: 1.051 GB
% 73.58/9.68 % Net memory used: 1.023 GB
%------------------------------------------------------------------------------