TSTP Solution File: SWV814-1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SWV814-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n027.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 20:49:22 EDT 2024
% Result : Unsatisfiable 54.88s 7.21s
% Output : CNFRefutation 55.34s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 16
% Syntax : Number of formulae : 56 ( 24 unt; 0 def)
% Number of atoms : 96 ( 31 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 77 ( 37 ~; 37 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 7 ( 5 usr; 4 prp; 0-3 aty)
% Number of functors : 29 ( 29 usr; 19 con; 0-3 aty)
% Number of variables : 82 ( 82 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f530,axiom,
! [V_nat_H,V_nat] : hAPP(c_Message_Omsg_OKey,V_nat_H) != c_Message_Omsg_ONonce(V_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f536,axiom,
! [V_X,V_evs,V_A,V_B] :
( c_in(V_X,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_OSays(V_A,V_B,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f561,axiom,
! [V_X,V_B,V_K,V_A,V_evs,V_NA] :
( V_X = c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Omsg_OAgent(V_A)))
| ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| c_in(V_A,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_A),c_Message_Omsg_OMPair(V_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),V_X)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f579,axiom,
! [V_x,V_S,T_a] :
( c_in(V_x,V_S,T_a)
| ~ hBOOL(hAPP(V_S,V_x)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f580,axiom,
! [V_S,V_x,T_a] :
( hBOOL(hAPP(V_S,V_x))
| ~ c_in(V_x,V_S,T_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f585,axiom,
! [V_nat,V_msg,V_nat_H,V_msg_H] :
( c_Message_Omsg_OCrypt(V_nat,V_msg) != c_Message_Omsg_OCrypt(V_nat_H,V_msg_H)
| V_msg = V_msg_H ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f589,axiom,
! [V_msg1,V_msg2,V_msg1_H,V_msg2_H] :
( c_Message_Omsg_OMPair(V_msg1,V_msg2) != c_Message_Omsg_OMPair(V_msg1_H,V_msg2_H)
| V_msg1 = V_msg1_H ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f607,negated_conjecture,
~ c_in(v_A,c_Event_Obad,tc_Message_Oagent),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f609,negated_conjecture,
c_in(v_evs3,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f611,negated_conjecture,
c_in(c_Event_Oevent_OSays(v_S,v_Aa,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_Ka),v_X))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f614,negated_conjecture,
v_A = v_Aa,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f615,negated_conjecture,
v_B = v_Ba,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f616,negated_conjecture,
c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))) = v_X,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f1392,plain,
! [X0,X1] : hAPP(c_Message_Omsg_OKey,X0) != c_Message_Omsg_ONonce(X1),
inference(cnf_transformation,[status(esa)],[f530]) ).
fof(f1401,plain,
! [V_X,V_evs] :
( c_in(V_X,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)
| ! [V_A,V_B] : ~ c_in(c_Event_Oevent_OSays(V_A,V_B,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent) ),
inference(miniscoping,[status(esa)],[f536]) ).
fof(f1402,plain,
! [X0,X1,X2,X3] :
( c_in(X0,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_OSays(X2,X3,X0),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent) ),
inference(cnf_transformation,[status(esa)],[f1401]) ).
fof(f1440,plain,
! [V_X,V_B,V_K,V_A,V_evs] :
( V_X = c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Omsg_OAgent(V_A)))
| ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| c_in(V_A,c_Event_Obad,tc_Message_Oagent)
| ! [V_NA] : ~ c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_A),c_Message_Omsg_OMPair(V_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),V_X)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg) ),
inference(miniscoping,[status(esa)],[f561]) ).
fof(f1441,plain,
! [X0,X1,X2,X3,X4,X5] :
( X0 = c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X2),c_Message_Omsg_OAgent(X3)))
| ~ c_in(X4,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| c_in(X3,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X3),c_Message_Omsg_OMPair(X5,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X2),X0)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X4)),tc_Message_Omsg) ),
inference(cnf_transformation,[status(esa)],[f1440]) ).
fof(f1463,plain,
! [V_x,V_S] :
( ! [T_a] : c_in(V_x,V_S,T_a)
| ~ hBOOL(hAPP(V_S,V_x)) ),
inference(miniscoping,[status(esa)],[f579]) ).
fof(f1464,plain,
! [X0,X1,X2] :
( c_in(X0,X1,X2)
| ~ hBOOL(hAPP(X1,X0)) ),
inference(cnf_transformation,[status(esa)],[f1463]) ).
fof(f1465,plain,
! [V_S,V_x] :
( hBOOL(hAPP(V_S,V_x))
| ! [T_a] : ~ c_in(V_x,V_S,T_a) ),
inference(miniscoping,[status(esa)],[f580]) ).
fof(f1466,plain,
! [X0,X1,X2] :
( hBOOL(hAPP(X0,X1))
| ~ c_in(X1,X0,X2) ),
inference(cnf_transformation,[status(esa)],[f1465]) ).
fof(f1472,plain,
! [V_msg,V_msg_H] :
( ! [V_nat,V_nat_H] : c_Message_Omsg_OCrypt(V_nat,V_msg) != c_Message_Omsg_OCrypt(V_nat_H,V_msg_H)
| V_msg = V_msg_H ),
inference(miniscoping,[status(esa)],[f585]) ).
fof(f1473,plain,
! [X0,X1,X2,X3] :
( c_Message_Omsg_OCrypt(X0,X1) != c_Message_Omsg_OCrypt(X2,X3)
| X1 = X3 ),
inference(cnf_transformation,[status(esa)],[f1472]) ).
fof(f1478,plain,
! [V_msg1,V_msg1_H] :
( ! [V_msg2,V_msg2_H] : c_Message_Omsg_OMPair(V_msg1,V_msg2) != c_Message_Omsg_OMPair(V_msg1_H,V_msg2_H)
| V_msg1 = V_msg1_H ),
inference(miniscoping,[status(esa)],[f589]) ).
fof(f1479,plain,
! [X0,X1,X2,X3] :
( c_Message_Omsg_OMPair(X0,X1) != c_Message_Omsg_OMPair(X2,X3)
| X0 = X2 ),
inference(cnf_transformation,[status(esa)],[f1478]) ).
fof(f1502,plain,
~ c_in(v_A,c_Event_Obad,tc_Message_Oagent),
inference(cnf_transformation,[status(esa)],[f607]) ).
fof(f1504,plain,
c_in(v_evs3,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)),
inference(cnf_transformation,[status(esa)],[f609]) ).
fof(f1506,plain,
c_in(c_Event_Oevent_OSays(v_S,v_Aa,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_Ka),v_X))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent),
inference(cnf_transformation,[status(esa)],[f611]) ).
fof(f1509,plain,
v_A = v_Aa,
inference(cnf_transformation,[status(esa)],[f614]) ).
fof(f1510,plain,
v_B = v_Ba,
inference(cnf_transformation,[status(esa)],[f615]) ).
fof(f1511,plain,
c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))) = v_X,
inference(cnf_transformation,[status(esa)],[f616]) ).
fof(f1582,plain,
c_in(c_Event_Oevent_OSays(v_S,v_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_Ka),v_X))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent),
inference(forward_demodulation,[status(thm)],[f1509,f1506]) ).
fof(f1583,plain,
c_in(c_Event_Oevent_OSays(v_S,v_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_Ka),v_X))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent),
inference(forward_demodulation,[status(thm)],[f1509,f1582]) ).
fof(f1584,plain,
c_in(c_Event_Oevent_OSays(v_S,v_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_Ka),v_X))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent),
inference(forward_demodulation,[status(thm)],[f1510,f1583]) ).
fof(f1722,plain,
! [X0,X1] :
( v_X != c_Message_Omsg_OCrypt(X0,X1)
| c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB)) = X1 ),
inference(paramodulation,[status(thm)],[f1511,f1473]) ).
fof(f1731,plain,
! [X0,X1,X2] :
( c_Message_Omsg_ONonce(v_NB) = X0
| v_X != c_Message_Omsg_OCrypt(X1,c_Message_Omsg_OMPair(X0,X2)) ),
inference(resolution,[status(thm)],[f1479,f1722]) ).
fof(f6424,plain,
hBOOL(hAPP(c_NS__Shared__Mirabelle_Ons__shared,v_evs3)),
inference(resolution,[status(thm)],[f1466,f1504]) ).
fof(f6483,plain,
! [X0] : c_in(v_evs3,c_NS__Shared__Mirabelle_Ons__shared,X0),
inference(resolution,[status(thm)],[f6424,f1464]) ).
fof(f30114,plain,
( spl0_636
<=> c_in(v_evs3,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
introduced(split_symbol_definition) ).
fof(f30116,plain,
( ~ c_in(v_evs3,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| spl0_636 ),
inference(component_clause,[status(thm)],[f30114]) ).
fof(f30146,plain,
( $false
| spl0_636 ),
inference(forward_subsumption_resolution,[status(thm)],[f30116,f6483]) ).
fof(f30147,plain,
spl0_636,
inference(contradiction_clause,[status(thm)],[f30146]) ).
fof(f33713,plain,
c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_Ka),v_X)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg),
inference(resolution,[status(thm)],[f1402,f1584]) ).
fof(f37362,plain,
( spl0_852
<=> c_in(v_A,c_Event_Obad,tc_Message_Oagent) ),
introduced(split_symbol_definition) ).
fof(f37363,plain,
( c_in(v_A,c_Event_Obad,tc_Message_Oagent)
| ~ spl0_852 ),
inference(component_clause,[status(thm)],[f37362]) ).
fof(f43474,plain,
( spl0_943
<=> v_X = c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_Ka),c_Message_Omsg_OAgent(v_A))) ),
introduced(split_symbol_definition) ).
fof(f43475,plain,
( v_X = c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_Ka),c_Message_Omsg_OAgent(v_A)))
| ~ spl0_943 ),
inference(component_clause,[status(thm)],[f43474]) ).
fof(f43477,plain,
( v_X = c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_Ka),c_Message_Omsg_OAgent(v_A)))
| ~ c_in(v_evs3,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| c_in(v_A,c_Event_Obad,tc_Message_Oagent) ),
inference(resolution,[status(thm)],[f1441,f33713]) ).
fof(f43478,plain,
( spl0_943
| ~ spl0_636
| spl0_852 ),
inference(split_clause,[status(thm)],[f43477,f43474,f30114,f37362]) ).
fof(f43490,plain,
( $false
| ~ spl0_852 ),
inference(forward_subsumption_resolution,[status(thm)],[f37363,f1502]) ).
fof(f43491,plain,
~ spl0_852,
inference(contradiction_clause,[status(thm)],[f43490]) ).
fof(f72368,plain,
( c_Message_Omsg_ONonce(v_NB) = hAPP(c_Message_Omsg_OKey,v_Ka)
| ~ spl0_943 ),
inference(resolution,[status(thm)],[f43475,f1731]) ).
fof(f72369,plain,
( $false
| ~ spl0_943 ),
inference(forward_subsumption_resolution,[status(thm)],[f72368,f1392]) ).
fof(f72370,plain,
~ spl0_943,
inference(contradiction_clause,[status(thm)],[f72369]) ).
fof(f72371,plain,
$false,
inference(sat_refutation,[status(thm)],[f30147,f43478,f43491,f72370]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.06 % Problem : SWV814-1 : TPTP v8.1.2. Released v4.1.0.
% 0.00/0.07 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.06/0.26 % Computer : n027.cluster.edu
% 0.06/0.26 % Model : x86_64 x86_64
% 0.06/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.26 % Memory : 8042.1875MB
% 0.06/0.26 % OS : Linux 3.10.0-693.el7.x86_64
% 0.06/0.26 % CPULimit : 300
% 0.06/0.26 % WCLimit : 300
% 0.06/0.26 % DateTime : Tue Apr 30 01:14:32 EDT 2024
% 0.06/0.26 % CPUTime :
% 0.10/0.28 % Drodi V3.6.0
% 54.88/7.21 % Refutation found
% 54.88/7.21 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 54.88/7.21 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 55.34/7.37 % Elapsed time: 7.088624 seconds
% 55.34/7.37 % CPU time: 55.757934 seconds
% 55.34/7.37 % Total memory used: 895.834 MB
% 55.34/7.37 % Net memory used: 872.487 MB
%------------------------------------------------------------------------------