%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWV355-1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n019.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 02:47:27 PM UTC 2026
% Result : Unsatisfiable 38.11s 5.71s
% Output : CNFRefutation 38.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 10
% Syntax : Number of formulae : 35 ( 16 unt; 0 def)
% Number of atoms : 54 ( 4 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 40 ( 21 ~; 19 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 20 ( 20 usr; 9 con; 0-3 aty)
% Number of variables : 58 ( 58 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2767,axiom,
! [V_X,V_H] :
( c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg)
| ~ c_in(V_X,V_H,tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2774,axiom,
! [V_c,V_evs] :
( c_in(V_c,c_Event_Oused(V_evs),tc_Message_Omsg)
| ~ c_in(V_c,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2833,axiom,
! [V_X,V_Y,V_H] :
( c_in(V_Y,c_Message_Oanalz(V_H),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Oanalz(V_H),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2847,axiom,
! [V_X,V_H] :
( c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg)
| ~ c_in(V_X,V_H,tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2862,axiom,
! [V_H] : c_Message_Oanalz(c_Message_Oparts(V_H)) = c_Message_Oparts(V_H),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2869,axiom,
! [V_H] : c_Message_Oparts(c_Message_Oanalz(V_H)) = c_Message_Oparts(V_H),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2935,axiom,
! [V_K,V_X,V_H] :
( c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Oparts(V_H),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2953,axiom,
! [V_A,V_B,V_X,V_evs] :
( c_in(V_X,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(f2970,negated_conjecture,
~ c_in(c_Message_Omsg_ONonce(v_NB),c_Event_Oused(v_evs1),tc_Message_Omsg),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2972,negated_conjecture,
c_in(c_Event_Oevent_OSays(v_B,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_ONonce(v_NB)))))),c_List_Oset(v_evs1,tc_Event_Oevent),tc_Event_Oevent),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6360,plain,
! [X0,X1] :
( c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg)
| ~ c_in(X0,X1,tc_Message_Omsg) ),
inference(cnf_transformation,[status(thm)],[f2767]) ).
fof(f6367,plain,
! [X0,X1] :
( c_in(X0,c_Event_Oused(X1),tc_Message_Omsg)
| ~ c_in(X0,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg) ),
inference(cnf_transformation,[status(thm)],[f2774]) ).
fof(f6442,plain,
! [V_Y,V_H] :
( c_in(V_Y,c_Message_Oanalz(V_H),tc_Message_Omsg)
| ! [V_X] : ~ c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Oanalz(V_H),tc_Message_Omsg) ),
inference(miniscoping,[status(thm)],[f2833]) ).
fof(f6443,plain,
! [X0,X1,X2] :
( c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X0,X1),c_Message_Oanalz(X2),tc_Message_Omsg) ),
inference(cnf_transformation,[status(thm)],[f6442]) ).
fof(f6463,plain,
! [X0,X1] :
( c_in(X0,c_Message_Oanalz(X1),tc_Message_Omsg)
| ~ c_in(X0,X1,tc_Message_Omsg) ),
inference(cnf_transformation,[status(thm)],[f2847]) ).
fof(f6480,plain,
! [X0] : c_Message_Oanalz(c_Message_Oparts(X0)) = c_Message_Oparts(X0),
inference(cnf_transformation,[status(thm)],[f2862]) ).
fof(f6488,plain,
! [X0] : c_Message_Oparts(c_Message_Oanalz(X0)) = c_Message_Oparts(X0),
inference(cnf_transformation,[status(thm)],[f2869]) ).
fof(f6562,plain,
! [V_X,V_H] :
( c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg)
| ! [V_K] : ~ c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Oparts(V_H),tc_Message_Omsg) ),
inference(miniscoping,[status(thm)],[f2935]) ).
fof(f6563,plain,
! [X0,X1,X2] :
( c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(X0,X1),c_Message_Oparts(X2),tc_Message_Omsg) ),
inference(cnf_transformation,[status(thm)],[f6562]) ).
fof(f6592,plain,
! [V_X,V_evs] :
( c_in(V_X,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(thm)],[f2953]) ).
fof(f6593,plain,
! [X0,X1,X2,X3] :
( c_in(X2,c_Event_Oknows(c_Message_Oagent_OSpy,X3),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_OSays(X0,X1,X2),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent) ),
inference(cnf_transformation,[status(thm)],[f6592]) ).
fof(f6623,plain,
~ c_in(c_Message_Omsg_ONonce(v_NB),c_Event_Oused(v_evs1),tc_Message_Omsg),
inference(cnf_transformation,[status(thm)],[f2970]) ).
fof(f6625,plain,
c_in(c_Event_Oevent_OSays(v_B,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_ONonce(v_NB)))))),c_List_Oset(v_evs1,tc_Event_Oevent),tc_Event_Oevent),
inference(cnf_transformation,[status(thm)],[f2972]) ).
fof(f6671,plain,
! [X0,X1,X2] :
( ~ c_in(c_Message_Omsg_OMPair(X2,X0),X1,tc_Message_Omsg)
| c_in(X0,c_Message_Oanalz(X1),tc_Message_Omsg) ),
inference(resolution,[status(thm)],[f6443,f6463]) ).
fof(f6840,plain,
c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_ONonce(v_NB))))),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs1),tc_Message_Omsg),
inference(resolution,[status(thm)],[f6593,f6625]) ).
fof(f6844,plain,
c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_ONonce(v_NB)))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs1)),tc_Message_Omsg),
inference(resolution,[status(thm)],[f6840,f6671]) ).
fof(f21572,plain,
! [X0,X1,X2] :
( c_in(X1,c_Message_Oanalz(c_Message_Oparts(X2)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X0,X1),c_Message_Oparts(X2),tc_Message_Omsg) ),
inference(paramodulation,[status(thm)],[f6480,f6443]) ).
fof(f21616,plain,
! [X0,X1,X2] :
( c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X0,X1),c_Message_Oparts(X2),tc_Message_Omsg) ),
inference(forward_demodulation,[status(thm)],[f6480,f21572]) ).
fof(f30863,plain,
! [X0,X1,X2] :
( c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(X0,X1),X2,tc_Message_Omsg) ),
inference(resolution,[status(thm)],[f6360,f6563]) ).
fof(f32575,plain,
c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_ONonce(v_NB))),c_Message_Oparts(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs1))),tc_Message_Omsg),
inference(resolution,[status(thm)],[f30863,f6844]) ).
fof(f32701,plain,
c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_ONonce(v_NB))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs1)),tc_Message_Omsg),
inference(forward_demodulation,[status(thm)],[f6488,f32575]) ).
fof(f35434,plain,
c_in(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_ONonce(v_NB)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs1)),tc_Message_Omsg),
inference(resolution,[status(thm)],[f32701,f21616]) ).
fof(f35796,plain,
c_in(c_Message_Omsg_ONonce(v_NB),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs1)),tc_Message_Omsg),
inference(resolution,[status(thm)],[f35434,f21616]) ).
fof(f35817,plain,
c_in(c_Message_Omsg_ONonce(v_NB),c_Event_Oused(v_evs1),tc_Message_Omsg),
inference(resolution,[status(thm)],[f35796,f6367]) ).
fof(f35820,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f35817,f6623]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SWV355-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.06 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.41 % Computer : n019.cluster.edu
% 0.15/0.41 % Model : x86_64 x86_64
% 0.15/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.41 % Memory : 8046.5625MB
% 0.15/0.41 % OS : Linux 6.8.0-71-generic
% 0.15/0.41 % CPULimit : 300
% 0.15/0.41 % WCLimit : 300
% 0.15/0.41 % DateTime : Mon Sep 21 08:43:06 UTC 2026
% 0.15/0.42 % CPUTime :
% 0.29/0.61 % Drodi V4.1.1
% 38.11/5.71 % Refutation found
% 38.11/5.71 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 38.11/5.71 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 2.19/6.24 % Elapsed time: 5.796207 seconds
% 2.19/6.24 % CPU time: 41.510505 seconds
% 2.19/6.24 % Total memory used: 590.263 MB
% 2.19/6.24 % Net memory used: 568.019 MB
%------------------------------------------------------------------------------