%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWV733-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n012.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 02:49:25 PM UTC 2026
% Result : Unsatisfiable 1.03s 0.55s
% Output : CNFRefutation 1.03s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 9
% Syntax : Number of formulae : 32 ( 13 unt; 2 def)
% Number of atoms : 54 ( 5 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 44 ( 22 ~; 20 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 3 prp; 0-3 aty)
% Number of functors : 16 ( 16 usr; 8 con; 0-3 aty)
% Number of variables : 31 ( 31 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f544,axiom,
! [T_a,V_B] : c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)) = V_B,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f618,axiom,
! [V_Y,V_G,V_H,V_X] :
( ~ c_in(V_Y,c_Message_Oparts(c_Set_Oinsert(V_X,V_G,tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg)
| c_in(V_Y,c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(V_G,V_H,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f662,axiom,
! [V_X,V_H] :
( ~ c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg)
| c_Message_Oparts(c_Set_Oinsert(V_X,V_H,tc_Message_Omsg)) = c_Message_Oparts(V_H) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f674,axiom,
! [V_X,V_H,V_K] :
( ~ c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Oparts(V_H),tc_Message_Omsg)
| c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f715,negated_conjecture,
c_in(c_Message_Omsg_OCrypt(v_KAB,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(f716,negated_conjecture,
c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oparts(c_Set_Oinsert(v_X,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),tc_Message_Omsg),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f717,negated_conjecture,
~ c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f1537,plain,
! [X0,X1] : c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)),X1,tc_fun(X0,tc_bool)) = X1,
inference(cnf_transformation,[status(thm)],[f544]) ).
fof(f1653,plain,
! [V_Y,V_G,V_X] :
( ~ c_in(V_Y,c_Message_Oparts(c_Set_Oinsert(V_X,V_G,tc_Message_Omsg)),tc_Message_Omsg)
| ! [V_H] :
( ~ c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg)
| c_in(V_Y,c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(V_G,V_H,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg) ) ),
inference(miniscoping,[status(thm)],[f618]) ).
fof(f1654,plain,
! [X0,X1,X2,X3] :
( ~ c_in(X0,c_Message_Oparts(c_Set_Oinsert(X3,X1,tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_in(X3,c_Message_Oparts(X2),tc_Message_Omsg)
| c_in(X0,c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg) ),
inference(cnf_transformation,[status(thm)],[f1653]) ).
fof(f1711,plain,
! [X0,X1] :
( ~ c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg)
| c_Message_Oparts(c_Set_Oinsert(X0,X1,tc_Message_Omsg)) = c_Message_Oparts(X1) ),
inference(cnf_transformation,[status(thm)],[f662]) ).
fof(f1727,plain,
! [V_X,V_H] :
( ! [V_K] : ~ c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Oparts(V_H),tc_Message_Omsg)
| c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg) ),
inference(miniscoping,[status(thm)],[f674]) ).
fof(f1728,plain,
! [X0,X1,X2] :
( ~ c_in(c_Message_Omsg_OCrypt(X2,X0),c_Message_Oparts(X1),tc_Message_Omsg)
| c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg) ),
inference(cnf_transformation,[status(thm)],[f1727]) ).
fof(f1785,plain,
c_in(c_Message_Omsg_OCrypt(v_KAB,v_X),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg),
inference(cnf_transformation,[status(thm)],[f715]) ).
fof(f1786,plain,
c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oparts(c_Set_Oinsert(v_X,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),tc_Message_Omsg),
inference(cnf_transformation,[status(thm)],[f716]) ).
fof(f1787,plain,
~ c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg),
inference(cnf_transformation,[status(thm)],[f717]) ).
fof(f3401,plain,
! [X0] :
( ~ c_in(v_X,c_Message_Oparts(X0),tc_Message_Omsg)
| c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),X0,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg) ),
inference(resolution,[status(thm)],[f1654,f1786]) ).
fof(f3414,plain,
! [X0] :
( ~ c_in(v_X,c_Message_Oparts(X0),tc_Message_Omsg)
| c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oparts(X0),tc_Message_Omsg) ),
inference(forward_demodulation,[status(thm)],[f1537,f3401]) ).
fof(f4477,plain,
c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OCrypt(v_KAB,v_X),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs),tc_Message_Omsg)) = c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),
inference(resolution,[status(thm)],[f1711,f1785]) ).
fof(f4564,plain,
( ~ c_in(v_X,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg)
| c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OCrypt(v_KAB,v_X),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs),tc_Message_Omsg)),tc_Message_Omsg) ),
inference(paramodulation,[status(thm)],[f4477,f3414]) ).
fof(f4596,definition,
( sQ21_spl
<=> c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OCrypt(v_KAB,v_X),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs),tc_Message_Omsg)),tc_Message_Omsg) ),
introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition]) ).
fof(f4597,plain,
( ~ sQ21_spl
| c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OCrypt(v_KAB,v_X),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs),tc_Message_Omsg)),tc_Message_Omsg) ),
inference(component_clause,[status(thm)],[f4596]) ).
fof(f4599,definition,
( sQ22_spl
<=> c_in(v_X,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg) ),
introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition]) ).
fof(f4601,plain,
( sQ22_spl
| ~ c_in(v_X,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg) ),
inference(component_clause,[status(thm)],[f4599]) ).
fof(f4602,plain,
( ~ sQ22_spl
| sQ21_spl ),
inference(split_clause,[status(thm)],[f4564,f4596,f4599]) ).
fof(f4637,plain,
( ~ sQ21_spl
| c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg) ),
inference(forward_demodulation,[status(thm)],[f4477,f4597]) ).
fof(f4638,plain,
( ~ sQ21_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4637,f1787]) ).
fof(f4639,plain,
~ sQ21_spl,
inference(contradiction_clause,[status(thm)],[f4638]) ).
fof(f5085,plain,
c_in(v_X,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg),
inference(resolution,[status(thm)],[f1728,f1785]) ).
fof(f5099,plain,
( sQ22_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5085,f4601]) ).
fof(f5100,plain,
sQ22_spl,
inference(contradiction_clause,[status(thm)],[f5099]) ).
fof(f5101,plain,
$false,
inference(sat_refutation,[status(thm)],[f4602,f4639,f5100]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SWV733-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.02 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.05/0.29 % Computer : n012.cluster.edu
% 0.05/0.29 % Model : x86_64 x86_64
% 0.05/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.05/0.29 % Memory : 8046.5625MB
% 0.05/0.29 % OS : Linux 6.8.0-71-generic
% 0.05/0.30 % CPULimit : 300
% 0.05/0.30 % WCLimit : 300
% 0.05/0.30 % DateTime : Mon Sep 21 09:22:21 UTC 2026
% 0.05/0.30 % CPUTime :
% 0.05/0.32 % Drodi V4.1.1
% 1.03/0.55 % Refutation found
% 1.03/0.55 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 1.03/0.55 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 1.03/0.57 % Elapsed time: 0.268910 seconds
% 1.03/0.57 % CPU time: 1.824967 seconds
% 1.03/0.57 % Total memory used: 201.156 MB
% 1.03/0.57 % Net memory used: 198.804 MB
%------------------------------------------------------------------------------