TSTP Solution File: SWV791-1 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SWV791-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n032.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 20:49:19 EDT 2024
% Result : Unsatisfiable 56.80s 7.51s
% Output : CNFRefutation 57.96s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 15
% Syntax : Number of formulae : 52 ( 24 unt; 0 def)
% Number of atoms : 88 ( 23 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 69 ( 33 ~; 33 |; 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; 18 con; 0-3 aty)
% Number of variables : 69 ( 69 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f431,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/sandbox2/benchmark/theBenchmark.p') ).
fof(f491,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(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(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/sandbox2/benchmark/theBenchmark.p') ).
fof(f507,axiom,
! [V_nat,V_msg1_H,V_msg2_H] : c_Message_Omsg_ONonce(V_nat) != c_Message_Omsg_OMPair(V_msg1_H,V_msg2_H),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f518,axiom,
! [V_x,V_S,T_a] :
( c_in(V_x,V_S,T_a)
| ~ hBOOL(hAPP(V_S,V_x)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f519,axiom,
! [V_S,V_x,T_a] :
( hBOOL(hAPP(V_S,V_x))
| ~ c_in(V_x,V_S,T_a) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f524,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/sandbox2/benchmark/theBenchmark.p') ).
fof(f569,negated_conjecture,
~ c_in(v_B,c_Event_Obad,tc_Message_Oagent),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f570,negated_conjecture,
c_in(v_evs3,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f572,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(c_Message_Omsg_OKey(v_Ka),v_X))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f575,negated_conjecture,
v_B = v_Aa,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f576,negated_conjecture,
v_A = v_Ba,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f577,negated_conjecture,
c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_Nb)) = v_X,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f1227,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)],[f431]) ).
fof(f1228,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)],[f1227]) ).
fof(f1322,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(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(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)],[f491]) ).
fof(f1323,plain,
! [X0,X1,X2,X3,X4,X5] :
( X0 = c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(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(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)],[f1322]) ).
fof(f1343,plain,
! [X0,X1,X2] : c_Message_Omsg_ONonce(X0) != c_Message_Omsg_OMPair(X1,X2),
inference(cnf_transformation,[status(esa)],[f507]) ).
fof(f1357,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)],[f518]) ).
fof(f1358,plain,
! [X0,X1,X2] :
( c_in(X0,X1,X2)
| ~ hBOOL(hAPP(X1,X0)) ),
inference(cnf_transformation,[status(esa)],[f1357]) ).
fof(f1359,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)],[f519]) ).
fof(f1360,plain,
! [X0,X1,X2] :
( hBOOL(hAPP(X0,X1))
| ~ c_in(X1,X0,X2) ),
inference(cnf_transformation,[status(esa)],[f1359]) ).
fof(f1366,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)],[f524]) ).
fof(f1367,plain,
! [X0,X1,X2,X3] :
( c_Message_Omsg_OCrypt(X0,X1) != c_Message_Omsg_OCrypt(X2,X3)
| X1 = X3 ),
inference(cnf_transformation,[status(esa)],[f1366]) ).
fof(f1422,plain,
~ c_in(v_B,c_Event_Obad,tc_Message_Oagent),
inference(cnf_transformation,[status(esa)],[f569]) ).
fof(f1423,plain,
c_in(v_evs3,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)),
inference(cnf_transformation,[status(esa)],[f570]) ).
fof(f1425,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(c_Message_Omsg_OKey(v_Ka),v_X))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent),
inference(cnf_transformation,[status(esa)],[f572]) ).
fof(f1428,plain,
v_B = v_Aa,
inference(cnf_transformation,[status(esa)],[f575]) ).
fof(f1429,plain,
v_A = v_Ba,
inference(cnf_transformation,[status(esa)],[f576]) ).
fof(f1430,plain,
c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_Nb)) = v_X,
inference(cnf_transformation,[status(esa)],[f577]) ).
fof(f1495,plain,
c_in(c_Event_Oevent_OSays(v_S,v_B,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(c_Message_Omsg_OKey(v_Ka),v_X))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent),
inference(forward_demodulation,[status(thm)],[f1428,f1425]) ).
fof(f1496,plain,
c_in(c_Event_Oevent_OSays(v_S,v_B,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_B),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_Ka),v_X))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent),
inference(forward_demodulation,[status(thm)],[f1428,f1495]) ).
fof(f1497,plain,
c_in(c_Event_Oevent_OSays(v_S,v_B,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_B),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_Ka),v_X))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent),
inference(forward_demodulation,[status(thm)],[f1429,f1496]) ).
fof(f1638,plain,
! [X0,X1] :
( v_X != c_Message_Omsg_OCrypt(X0,X1)
| c_Message_Omsg_ONonce(v_Nb) = X1 ),
inference(paramodulation,[status(thm)],[f1430,f1367]) ).
fof(f2879,plain,
hBOOL(hAPP(c_NS__Shared__Mirabelle_Ons__shared,v_evs3)),
inference(resolution,[status(thm)],[f1360,f1423]) ).
fof(f2898,plain,
! [X0] : c_in(v_evs3,c_NS__Shared__Mirabelle_Ons__shared,X0),
inference(resolution,[status(thm)],[f2879,f1358]) ).
fof(f37711,plain,
c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_B),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(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)],[f1228,f1497]) ).
fof(f46722,plain,
( spl0_1066
<=> c_in(v_evs3,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
introduced(split_symbol_definition) ).
fof(f46724,plain,
( ~ c_in(v_evs3,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| spl0_1066 ),
inference(component_clause,[status(thm)],[f46722]) ).
fof(f46736,plain,
( $false
| spl0_1066 ),
inference(forward_subsumption_resolution,[status(thm)],[f46724,f2898]) ).
fof(f46737,plain,
spl0_1066,
inference(contradiction_clause,[status(thm)],[f46736]) ).
fof(f52521,plain,
( spl0_1163
<=> v_X = c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_Ka),c_Message_Omsg_OAgent(v_B))) ),
introduced(split_symbol_definition) ).
fof(f52522,plain,
( v_X = c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_Ka),c_Message_Omsg_OAgent(v_B)))
| ~ spl0_1163 ),
inference(component_clause,[status(thm)],[f52521]) ).
fof(f52524,plain,
( spl0_1164
<=> c_in(v_B,c_Event_Obad,tc_Message_Oagent) ),
introduced(split_symbol_definition) ).
fof(f52525,plain,
( c_in(v_B,c_Event_Obad,tc_Message_Oagent)
| ~ spl0_1164 ),
inference(component_clause,[status(thm)],[f52524]) ).
fof(f52527,plain,
( v_X = c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_Ka),c_Message_Omsg_OAgent(v_B)))
| ~ c_in(v_evs3,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| c_in(v_B,c_Event_Obad,tc_Message_Oagent) ),
inference(resolution,[status(thm)],[f1323,f37711]) ).
fof(f52528,plain,
( spl0_1163
| ~ spl0_1066
| spl0_1164 ),
inference(split_clause,[status(thm)],[f52527,f52521,f46722,f52524]) ).
fof(f58006,plain,
( c_Message_Omsg_ONonce(v_Nb) = c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_Ka),c_Message_Omsg_OAgent(v_B))
| ~ spl0_1163 ),
inference(resolution,[status(thm)],[f52522,f1638]) ).
fof(f58007,plain,
( $false
| ~ spl0_1163 ),
inference(forward_subsumption_resolution,[status(thm)],[f58006,f1343]) ).
fof(f58008,plain,
~ spl0_1163,
inference(contradiction_clause,[status(thm)],[f58007]) ).
fof(f58009,plain,
( $false
| ~ spl0_1164 ),
inference(forward_subsumption_resolution,[status(thm)],[f52525,f1422]) ).
fof(f58010,plain,
~ spl0_1164,
inference(contradiction_clause,[status(thm)],[f58009]) ).
fof(f58011,plain,
$false,
inference(sat_refutation,[status(thm)],[f46737,f52528,f58008,f58010]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : SWV791-1 : TPTP v8.1.2. Released v4.1.0.
% 0.00/0.10 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.29 % Computer : n032.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 01:03:35 EDT 2024
% 0.09/0.30 % CPUTime :
% 0.16/0.33 % Drodi V3.6.0
% 56.80/7.51 % Refutation found
% 56.80/7.51 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 56.80/7.51 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 58.27/7.72 % Elapsed time: 7.401581 seconds
% 58.27/7.72 % CPU time: 57.963487 seconds
% 58.27/7.72 % Total memory used: 850.499 MB
% 58.27/7.72 % Net memory used: 832.873 MB
%------------------------------------------------------------------------------