%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWV319-1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n011.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 02:47:18 PM UTC 2026
% Result : Unsatisfiable 0.16s 20.73s
% Output : CNFRefutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 18
% Syntax : Number of formulae : 61 ( 21 unt; 6 def)
% Number of atoms : 103 ( 8 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 82 ( 40 ~; 36 |; 0 &)
% ( 6 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 10 ( 8 usr; 7 prp; 0-3 aty)
% Number of functors : 24 ( 24 usr; 14 con; 0-3 aty)
% Number of variables : 52 ( 52 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f144,axiom,
class_Ring__and__Field_Oaxclass__0__neq__1(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2728,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(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(f2772,axiom,
~ c_in(c_Message_Oagent_OServer,c_Event_Obad,tc_Message_Oagent),
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(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(f2933,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(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(f2939,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(f2940,negated_conjecture,
~ c_in(v_A,c_Event_Obad,tc_Message_Oagent),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2941,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(f2944,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(f3127,plain,
class_Ring__and__Field_Oaxclass__0__neq__1(tc_IntDef_Oint),
inference(cnf_transformation,[status(thm)],[f144]) ).
fof(f6286,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)],[f2728]) ).
fof(f6287,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)],[f6286]) ).
fof(f6331,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(f6336,plain,
~ c_in(c_Message_Oagent_OServer,c_Event_Obad,tc_Message_Oagent),
inference(cnf_transformation,[status(thm)],[f2772]) ).
fof(f6413,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(f6414,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)],[f6413]) ).
fof(f6459,plain,
! [X0] : c_Message_Oparts(c_Message_Oanalz(X0)) = c_Message_Oparts(X0),
inference(cnf_transformation,[status(thm)],[f2869]) ).
fof(f6529,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)],[f2933]) ).
fof(f6530,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)],[f6529]) ).
fof(f6533,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(f6534,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)],[f6533]) ).
fof(f6539,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)],[f2939]) ).
fof(f6540,plain,
~ c_in(v_A,c_Event_Obad,tc_Message_Oagent),
inference(cnf_transformation,[status(thm)],[f2940]) ).
fof(f6541,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)],[f2941]) ).
fof(f6544,plain,
( c_in(v_A,c_Event_Obad,tc_Message_Oagent)
| c_Public_OshrK(v_A) = v_K ),
inference(cnf_transformation,[status(thm)],[f2944]) ).
fof(f6545,definition,
! [X0] :
( sQ0_spl
<=> ~ class_Ring__and__Field_Oaxclass__0__neq__1(X0) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f6546,plain,
! [X0] :
( ~ sQ0_spl
| ~ class_Ring__and__Field_Oaxclass__0__neq__1(X0) ),
inference(component_clause,[status(thm)],[f6545]) ).
fof(f6553,definition,
( sQ2_spl
<=> c_in(v_A,c_Event_Obad,tc_Message_Oagent) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f6554,plain,
( ~ sQ2_spl
| c_in(v_A,c_Event_Obad,tc_Message_Oagent) ),
inference(component_clause,[status(thm)],[f6553]) ).
fof(f6556,definition,
( sQ3_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,[sQ3_spl])],[split_symbol_definition]) ).
fof(f6558,plain,
( sQ3_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)],[f6556]) ).
fof(f6559,plain,
( ~ sQ3_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f6541,f6553,f6556]) ).
fof(f6561,definition,
( sQ4_spl
<=> c_Public_OshrK(v_A) = v_K ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f6562,plain,
( ~ sQ4_spl
| c_Public_OshrK(v_A) = v_K ),
inference(component_clause,[status(thm)],[f6561]) ).
fof(f6565,plain,
( sQ2_spl
| sQ4_spl ),
inference(split_clause,[status(thm)],[f6544,f6561,f6553]) ).
fof(f6573,plain,
( sQ3_spl
| ~ sQ4_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)],[f6562,f6558]) ).
fof(f6588,plain,
( ~ sQ2_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6554,f6540]) ).
fof(f6589,plain,
~ sQ2_spl,
inference(contradiction_clause,[status(thm)],[f6588]) ).
fof(f6599,plain,
( ~ sQ0_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3127,f6546]) ).
fof(f6600,plain,
~ sQ0_spl,
inference(contradiction_clause,[status(thm)],[f6599]) ).
fof(f6649,definition,
( sQ7_spl
<=> v_K = v_K ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f6651,plain,
( sQ7_spl
| v_K != v_K ),
inference(component_clause,[status(thm)],[f6649]) ).
fof(f6656,plain,
( sQ7_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f6651]) ).
fof(f6657,plain,
sQ7_spl,
inference(contradiction_clause,[status(thm)],[f6656]) ).
fof(f6681,definition,
! [X1] :
( sQ12_spl
<=> c_in(X1,c_Event_Obad,tc_Message_Oagent) ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f6682,plain,
! [X0] :
( ~ sQ12_spl
| c_in(X0,c_Event_Obad,tc_Message_Oagent) ),
inference(component_clause,[status(thm)],[f6681]) ).
fof(f6693,plain,
( ~ sQ12_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f6336,f6682]) ).
fof(f6695,plain,
~ sQ12_spl,
inference(contradiction_clause,[status(thm)],[f6693]) ).
fof(f7001,plain,
! [X0,X1,X2] :
( ~ c_in(c_Message_Omsg_OCrypt(X2,X0),X1,tc_Message_Omsg)
| c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg) ),
inference(resolution,[status(thm)],[f6534,f6331]) ).
fof(f7027,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)],[f6530,f6539]) ).
fof(f7049,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_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evso)),tc_Message_Omsg),
inference(resolution,[status(thm)],[f7027,f6414]) ).
fof(f7128,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_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evso)),tc_Message_Omsg),
inference(resolution,[status(thm)],[f7049,f6414]) ).
fof(f7325,plain,
c_in(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OKey(v_K)),c_Message_Oparts(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evso))),tc_Message_Omsg),
inference(resolution,[status(thm)],[f7128,f7001]) ).
fof(f7328,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(forward_demodulation,[status(thm)],[f6459,f7325]) ).
fof(f7397,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)],[f7328,f6287]) ).
fof(f7401,plain,
( sQ3_spl
| ~ sQ4_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f7397,f6573]) ).
fof(f7402,plain,
( sQ3_spl
| ~ sQ4_spl ),
inference(contradiction_clause,[status(thm)],[f7401]) ).
fof(f7403,plain,
$false,
inference(sat_refutation,[status(thm)],[f6559,f6565,f6589,f6600,f6657,f6695,f7402]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SWV319-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.02 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.34 % Computer : n011.cluster.edu
% 0.08/0.34 % Model : x86_64 x86_64
% 0.08/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.34 % Memory : 8046.5625MB
% 0.08/0.34 % OS : Linux 6.8.0-71-generic
% 0.04/20.64 % CPULimit : 300
% 0.04/20.64 % WCLimit : 300
% 0.04/20.64 % DateTime : Mon Sep 21 08:40:45 UTC 2026
% 0.04/20.64 % CPUTime :
% 0.16/20.70 % Drodi V4.1.1
% 0.16/20.73 % Refutation found
% 0.16/20.73 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.16/20.73 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.16/20.77 % Elapsed time: 0.121811 seconds
% 0.16/20.77 % CPU time: 0.367406 seconds
% 0.16/20.77 % Total memory used: 230.228 MB
% 0.16/20.77 % Net memory used: 229.387 MB
%------------------------------------------------------------------------------