TSTP Solution File: SWV331-1 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SWV331-1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n026.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 12:41:22 EDT 2023
% Result : Unsatisfiable 0.15s 0.48s
% Output : CNFRefutation 0.44s
% 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 : 4 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 5 prp; 0-3 aty)
% Number of functors : 17 ( 17 usr; 9 con; 0-2 aty)
% Number of variables : 13 (; 13 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2952,axiom,
! [V_K,V_evs] :
( ~ c_in(V_K,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs))),tc_nat)
| ~ c_in(V_K,c_Message_OsymKeys,tc_nat)
| ~ c_in(V_evs,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
| c_in(c_Message_Omsg_OKey(V_K),c_Event_Oused(V_evs),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2955,axiom,
! [V_K,V_X,V_H] :
( ~ c_in(V_K,c_Message_OsymKeys,tc_nat)
| ~ c_in(c_Message_Omsg_OCrypt(V_K,V_X),V_H,tc_Message_Omsg)
| c_in(V_K,c_Message_OkeysFor(V_H),tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2961,negated_conjecture,
c_in(v_evs3,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2962,negated_conjecture,
~ c_in(c_Message_Omsg_OKey(v_K),c_Event_Oused(v_evs3),tc_Message_Omsg),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2963,negated_conjecture,
c_in(v_K,c_Message_OsymKeys,tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2966,negated_conjecture,
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_evs3)),tc_Message_Omsg),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6587,plain,
! [X0,X1] :
( ~ c_in(X0,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X1))),tc_nat)
| ~ c_in(X0,c_Message_OsymKeys,tc_nat)
| ~ c_in(X1,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
| c_in(c_Message_Omsg_OKey(X0),c_Event_Oused(X1),tc_Message_Omsg) ),
inference(cnf_transformation,[status(esa)],[f2952]) ).
fof(f6592,plain,
! [V_K,V_H] :
( ~ c_in(V_K,c_Message_OsymKeys,tc_nat)
| ! [V_X] : ~ c_in(c_Message_Omsg_OCrypt(V_K,V_X),V_H,tc_Message_Omsg)
| c_in(V_K,c_Message_OkeysFor(V_H),tc_nat) ),
inference(miniscoping,[status(esa)],[f2955]) ).
fof(f6593,plain,
! [X0,X1,X2] :
( ~ c_in(X0,c_Message_OsymKeys,tc_nat)
| ~ c_in(c_Message_Omsg_OCrypt(X0,X1),X2,tc_Message_Omsg)
| c_in(X0,c_Message_OkeysFor(X2),tc_nat) ),
inference(cnf_transformation,[status(esa)],[f6592]) ).
fof(f6603,plain,
c_in(v_evs3,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)),
inference(cnf_transformation,[status(esa)],[f2961]) ).
fof(f6604,plain,
~ c_in(c_Message_Omsg_OKey(v_K),c_Event_Oused(v_evs3),tc_Message_Omsg),
inference(cnf_transformation,[status(esa)],[f2962]) ).
fof(f6605,plain,
c_in(v_K,c_Message_OsymKeys,tc_nat),
inference(cnf_transformation,[status(esa)],[f2963]) ).
fof(f6608,plain,
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_evs3)),tc_Message_Omsg),
inference(cnf_transformation,[status(esa)],[f2966]) ).
fof(f6690,plain,
( spl0_4
<=> c_in(v_K,c_Message_OsymKeys,tc_nat) ),
introduced(split_symbol_definition) ).
fof(f6692,plain,
( ~ c_in(v_K,c_Message_OsymKeys,tc_nat)
| spl0_4 ),
inference(component_clause,[status(thm)],[f6690]) ).
fof(f6704,plain,
( $false
| spl0_4 ),
inference(forward_subsumption_resolution,[status(thm)],[f6692,f6605]) ).
fof(f6705,plain,
spl0_4,
inference(contradiction_clause,[status(thm)],[f6704]) ).
fof(f7228,plain,
( spl0_15
<=> c_in(v_evs3,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) ),
introduced(split_symbol_definition) ).
fof(f7230,plain,
( ~ c_in(v_evs3,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
| spl0_15 ),
inference(component_clause,[status(thm)],[f7228]) ).
fof(f7245,plain,
( $false
| spl0_15 ),
inference(forward_subsumption_resolution,[status(thm)],[f7230,f6603]) ).
fof(f7246,plain,
spl0_15,
inference(contradiction_clause,[status(thm)],[f7245]) ).
fof(f7254,plain,
( spl0_20
<=> c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3))),tc_nat) ),
introduced(split_symbol_definition) ).
fof(f7255,plain,
( c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3))),tc_nat)
| ~ spl0_20 ),
inference(component_clause,[status(thm)],[f7254]) ).
fof(f7257,plain,
( ~ c_in(v_K,c_Message_OsymKeys,tc_nat)
| c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3))),tc_nat) ),
inference(resolution,[status(thm)],[f6593,f6608]) ).
fof(f7258,plain,
( ~ spl0_4
| spl0_20 ),
inference(split_clause,[status(thm)],[f7257,f6690,f7254]) ).
fof(f7845,plain,
( spl0_65
<=> c_in(c_Message_Omsg_OKey(v_K),c_Event_Oused(v_evs3),tc_Message_Omsg) ),
introduced(split_symbol_definition) ).
fof(f7846,plain,
( c_in(c_Message_Omsg_OKey(v_K),c_Event_Oused(v_evs3),tc_Message_Omsg)
| ~ spl0_65 ),
inference(component_clause,[status(thm)],[f7845]) ).
fof(f7866,plain,
( $false
| ~ spl0_65 ),
inference(forward_subsumption_resolution,[status(thm)],[f7846,f6604]) ).
fof(f7867,plain,
~ spl0_65,
inference(contradiction_clause,[status(thm)],[f7866]) ).
fof(f7939,plain,
( ~ c_in(v_K,c_Message_OsymKeys,tc_nat)
| ~ c_in(v_evs3,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
| c_in(c_Message_Omsg_OKey(v_K),c_Event_Oused(v_evs3),tc_Message_Omsg)
| ~ spl0_20 ),
inference(resolution,[status(thm)],[f6587,f7255]) ).
fof(f7940,plain,
( ~ spl0_4
| ~ spl0_15
| spl0_65
| ~ spl0_20 ),
inference(split_clause,[status(thm)],[f7939,f6690,f7228,f7845,f7254]) ).
fof(f7945,plain,
$false,
inference(sat_refutation,[status(thm)],[f6705,f7246,f7258,f7867,f7940]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.09 % Problem : SWV331-1 : TPTP v8.1.2. Released v3.2.0.
% 0.02/0.10 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.30 % Computer : n026.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 300
% 0.10/0.30 % WCLimit : 300
% 0.10/0.30 % DateTime : Tue May 30 12:01:43 EDT 2023
% 0.10/0.30 % CPUTime :
% 0.15/0.41 % Drodi V3.5.1
% 0.15/0.48 % Refutation found
% 0.15/0.48 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.15/0.48 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.44/0.73 % Elapsed time: 0.203769 seconds
% 0.44/0.73 % CPU time: 0.426411 seconds
% 0.44/0.73 % Memory used: 127.549 MB
%------------------------------------------------------------------------------