%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWV324-1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n014.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 02:47:19 PM UTC 2026
% Result : Unsatisfiable 0.29s 0.61s
% Output : CNFRefutation 0.29s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 12
% Syntax : Number of formulae : 43 ( 13 unt; 4 def)
% Number of atoms : 75 ( 6 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 58 ( 26 ~; 28 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 7 ( 5 usr; 5 prp; 0-3 aty)
% Number of functors : 23 ( 23 usr; 13 con; 0-3 aty)
% Number of variables : 34 ( 34 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1400,axiom,
! [V_X,V_Y,V_H] :
( c_in(V_Y,c_Message_Oparts(V_H),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Oparts(V_H),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f1437,axiom,
! [V_A,V_B,V_X,V_evs] :
( c_in(V_X,c_Message_Oanalz(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(f1440,axiom,
! [V_c,V_H] :
( c_in(V_c,c_Message_Oparts(V_H),tc_Message_Omsg)
| ~ c_in(V_c,c_Message_Oanalz(V_H),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f1441,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(f1472,negated_conjecture,
c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_B,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(v_X,c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OKey(v_K)))))),c_List_Oset(v_evso,tc_Event_Oevent),tc_Event_Oevent),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f1473,negated_conjecture,
~ c_in(v_A,c_Event_Obad,tc_Message_Oagent),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f1474,negated_conjecture,
( ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evso)),tc_Message_Omsg)
| c_in(v_A,c_Event_Obad,tc_Message_Oagent) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f1477,negated_conjecture,
( c_in(v_A,c_Event_Obad,tc_Message_Oagent)
| c_Public_OshrK(v_A) = v_K ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3011,plain,
! [V_Y,V_H] :
( c_in(V_Y,c_Message_Oparts(V_H),tc_Message_Omsg)
| ! [V_X] : ~ c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Oparts(V_H),tc_Message_Omsg) ),
inference(miniscoping,[status(thm)],[f1400]) ).
fof(f3012,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(cnf_transformation,[status(thm)],[f3011]) ).
fof(f3057,plain,
! [V_X,V_evs] :
( c_in(V_X,c_Message_Oanalz(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)],[f1437]) ).
fof(f3058,plain,
! [X0,X1,X2,X3] :
( c_in(X2,c_Message_Oanalz(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)],[f3057]) ).
fof(f3063,plain,
! [X0,X1] :
( c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg)
| ~ c_in(X0,c_Message_Oanalz(X1),tc_Message_Omsg) ),
inference(cnf_transformation,[status(thm)],[f1440]) ).
fof(f3064,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)],[f1441]) ).
fof(f3065,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)],[f3064]) ).
fof(f3102,plain,
c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_B,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(v_X,c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OKey(v_K)))))),c_List_Oset(v_evso,tc_Event_Oevent),tc_Event_Oevent),
inference(cnf_transformation,[status(thm)],[f1472]) ).
fof(f3103,plain,
~ c_in(v_A,c_Event_Obad,tc_Message_Oagent),
inference(cnf_transformation,[status(thm)],[f1473]) ).
fof(f3104,plain,
( ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evso)),tc_Message_Omsg)
| c_in(v_A,c_Event_Obad,tc_Message_Oagent) ),
inference(cnf_transformation,[status(thm)],[f1474]) ).
fof(f3107,plain,
( c_in(v_A,c_Event_Obad,tc_Message_Oagent)
| c_Public_OshrK(v_A) = v_K ),
inference(cnf_transformation,[status(thm)],[f1477]) ).
fof(f3108,definition,
( sQ0_spl
<=> c_in(v_A,c_Event_Obad,tc_Message_Oagent) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f3109,plain,
( ~ sQ0_spl
| c_in(v_A,c_Event_Obad,tc_Message_Oagent) ),
inference(component_clause,[status(thm)],[f3108]) ).
fof(f3111,definition,
( sQ1_spl
<=> c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evso)),tc_Message_Omsg) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f3113,plain,
( sQ1_spl
| ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evso)),tc_Message_Omsg) ),
inference(component_clause,[status(thm)],[f3111]) ).
fof(f3114,plain,
( ~ sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f3104,f3108,f3111]) ).
fof(f3116,definition,
( sQ2_spl
<=> c_Public_OshrK(v_A) = v_K ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f3117,plain,
( ~ sQ2_spl
| c_Public_OshrK(v_A) = v_K ),
inference(component_clause,[status(thm)],[f3116]) ).
fof(f3120,plain,
( sQ0_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f3107,f3116,f3108]) ).
fof(f3124,plain,
( sQ1_spl
| ~ sQ2_spl
| ~ c_in(c_Message_Omsg_OKey(v_K),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evso)),tc_Message_Omsg) ),
inference(forward_demodulation,[status(thm)],[f3117,f3113]) ).
fof(f3136,plain,
( ~ sQ0_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3109,f3103]) ).
fof(f3137,plain,
~ sQ0_spl,
inference(contradiction_clause,[status(thm)],[f3136]) ).
fof(f3145,definition,
( sQ5_spl
<=> v_K = v_K ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f3147,plain,
( sQ5_spl
| v_K != v_K ),
inference(component_clause,[status(thm)],[f3145]) ).
fof(f3152,plain,
( sQ5_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3147]) ).
fof(f3153,plain,
sQ5_spl,
inference(contradiction_clause,[status(thm)],[f3152]) ).
fof(f3187,plain,
c_in(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(v_X,c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OKey(v_K))))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evso)),tc_Message_Omsg),
inference(resolution,[status(thm)],[f3058,f3102]) ).
fof(f3197,plain,
c_in(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(v_X,c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OKey(v_K))))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evso)),tc_Message_Omsg),
inference(resolution,[status(thm)],[f3187,f3063]) ).
fof(f3216,plain,
c_in(c_Message_Omsg_OMPair(v_X,c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OKey(v_K)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evso)),tc_Message_Omsg),
inference(resolution,[status(thm)],[f3197,f3012]) ).
fof(f3438,plain,
c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OKey(v_K))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evso)),tc_Message_Omsg),
inference(resolution,[status(thm)],[f3216,f3012]) ).
fof(f3494,plain,
c_in(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OKey(v_K)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evso)),tc_Message_Omsg),
inference(resolution,[status(thm)],[f3438,f3065]) ).
fof(f3502,plain,
c_in(c_Message_Omsg_OKey(v_K),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evso)),tc_Message_Omsg),
inference(resolution,[status(thm)],[f3494,f3012]) ).
fof(f3515,plain,
( sQ1_spl
| ~ sQ2_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3502,f3124]) ).
fof(f3516,plain,
( sQ1_spl
| ~ sQ2_spl ),
inference(contradiction_clause,[status(thm)],[f3515]) ).
fof(f3517,plain,
$false,
inference(sat_refutation,[status(thm)],[f3114,f3120,f3137,f3153,f3516]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SWV324-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.07 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.42 % Computer : n014.cluster.edu
% 0.18/0.42 % Model : x86_64 x86_64
% 0.18/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.42 % Memory : 8046.5625MB
% 0.18/0.42 % OS : Linux 6.8.0-71-generic
% 0.18/0.43 % CPULimit : 300
% 0.18/0.43 % WCLimit : 300
% 0.18/0.43 % DateTime : Mon Sep 21 08:40:50 UTC 2026
% 0.18/0.43 % CPUTime :
% 0.18/0.56 % Drodi V4.1.1
% 0.29/0.61 % Refutation found
% 0.29/0.61 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.29/0.61 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.29/0.68 % Elapsed time: 0.241078 seconds
% 0.29/0.68 % CPU time: 0.354197 seconds
% 0.29/0.68 % Total memory used: 60.577 MB
% 0.29/0.68 % Net memory used: 60.417 MB
%------------------------------------------------------------------------------