%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWV727-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n003.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 02:49:24 PM UTC 2026
% Result : Unsatisfiable 6.99s 6.39s
% Output : CNFRefutation 6.65s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 21
% Syntax : Number of formulae : 67 ( 30 unt; 6 def)
% Number of atoms : 112 ( 21 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 87 ( 42 ~; 39 |; 0 &)
% ( 6 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 10 ( 8 usr; 7 prp; 0-3 aty)
% Number of functors : 25 ( 25 usr; 11 con; 0-3 aty)
% Number of variables : 61 ( 61 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f26,axiom,
! [V_A,V_B,T_a] :
( ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
| c_Lattices_Oupper__semilattice__class_Osup(V_A,c_HOL_Ominus__class_Ominus(V_B,V_A,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = V_B ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f40,axiom,
! [V_agent_H,V_msg_H,V_agent,V_msg] : c_Event_Oevent_ONotes(V_agent_H,V_msg_H) != c_Event_Oevent_OGets(V_agent,V_msg),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f43,axiom,
c_in(c_Message_Oagent_OSpy,c_Event_Obad,tc_Message_Oagent),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f67,axiom,
! [V_A,V_B,T_a] : c_Lattices_Oupper__semilattice__class_Osup(V_A,c_HOL_Ominus__class_Ominus(V_B,V_A,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f165,axiom,
! [V_G,V_H] : c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(V_G,V_H,tc_fun(tc_Message_Omsg,tc_bool))) = c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(V_G),c_Message_Oparts(V_H),tc_fun(tc_Message_Omsg,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f166,axiom,
! [V_H] : c_lessequals(V_H,c_Message_Oparts(V_H),tc_fun(tc_Message_Omsg,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f256,axiom,
! [V_K] :
( ~ c_in(V_K,c_Message_OsymKeys,tc_nat)
| c_Message_OinvKey(V_K) = V_K ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f384,axiom,
! [V_K,V_H,V_G,V_X] :
( ~ c_in(V_K,c_Message_OkeysFor(c_Message_Oparts(c_Set_Oinsert(V_X,V_G,tc_Message_Omsg))),tc_nat)
| ~ c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg)
| c_in(V_K,c_Message_OkeysFor(c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(V_G,V_H,tc_fun(tc_Message_Omsg,tc_bool)))),tc_nat)
| c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(V_K)),c_Message_Oparts(V_H),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f421,axiom,
! [V_c,V_evs] :
( ~ c_in(V_c,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)
| c_in(V_c,c_Event_Oused(V_evs),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f422,axiom,
! [V_H] : c_Message_Oparts(c_Message_Oparts(V_H)) = c_Message_Oparts(V_H),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f462,negated_conjecture,
c_in(v_K,c_Message_OsymKeys,tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f464,negated_conjecture,
c_in(v_X,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f466,negated_conjecture,
~ c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Event_Oused(v_evsf),tc_Message_Omsg),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f467,negated_conjecture,
c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(c_Set_Oinsert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg))),tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f468,negated_conjecture,
( c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Event_Oused(v_evsf),tc_Message_Omsg)
| ~ c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f525,plain,
! [X0,X1,X2] :
( ~ c_lessequals(X0,X1,tc_fun(X2,tc_bool))
| c_Lattices_Oupper__semilattice__class_Osup(X0,c_HOL_Ominus__class_Ominus(X1,X0,tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)) = X1 ),
inference(cnf_transformation,[status(thm)],[f26]) ).
fof(f545,plain,
! [X0,X1,X2,X3] : c_Event_Oevent_ONotes(X0,X1) != c_Event_Oevent_OGets(X2,X3),
inference(cnf_transformation,[status(thm)],[f40]) ).
fof(f548,plain,
c_in(c_Message_Oagent_OSpy,c_Event_Obad,tc_Message_Oagent),
inference(cnf_transformation,[status(thm)],[f43]) ).
fof(f582,plain,
! [X0,X1,X2] : c_Lattices_Oupper__semilattice__class_Osup(X0,c_HOL_Ominus__class_Ominus(X1,X0,tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(X0,X1,tc_fun(X2,tc_bool)),
inference(cnf_transformation,[status(thm)],[f67]) ).
fof(f725,plain,
! [X0,X1] : c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(X0,X1,tc_fun(tc_Message_Omsg,tc_bool))) = c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(X0),c_Message_Oparts(X1),tc_fun(tc_Message_Omsg,tc_bool)),
inference(cnf_transformation,[status(thm)],[f165]) ).
fof(f726,plain,
! [X0] : c_lessequals(X0,c_Message_Oparts(X0),tc_fun(tc_Message_Omsg,tc_bool)),
inference(cnf_transformation,[status(thm)],[f166]) ).
fof(f848,plain,
! [X0] :
( ~ c_in(X0,c_Message_OsymKeys,tc_nat)
| c_Message_OinvKey(X0) = X0 ),
inference(cnf_transformation,[status(thm)],[f256]) ).
fof(f1042,plain,
! [V_K,V_G,V_X] :
( ~ c_in(V_K,c_Message_OkeysFor(c_Message_Oparts(c_Set_Oinsert(V_X,V_G,tc_Message_Omsg))),tc_nat)
| ! [V_H] :
( ~ c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg)
| c_in(V_K,c_Message_OkeysFor(c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(V_G,V_H,tc_fun(tc_Message_Omsg,tc_bool)))),tc_nat)
| c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(V_K)),c_Message_Oparts(V_H),tc_Message_Omsg) ) ),
inference(miniscoping,[status(thm)],[f384]) ).
fof(f1043,plain,
! [X0,X1,X2,X3] :
( ~ c_in(X0,c_Message_OkeysFor(c_Message_Oparts(c_Set_Oinsert(X3,X2,tc_Message_Omsg))),tc_nat)
| ~ c_in(X3,c_Message_Osynth(c_Message_Oanalz(X1)),tc_Message_Omsg)
| c_in(X0,c_Message_OkeysFor(c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(X2,X1,tc_fun(tc_Message_Omsg,tc_bool)))),tc_nat)
| c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(X0)),c_Message_Oparts(X1),tc_Message_Omsg) ),
inference(cnf_transformation,[status(thm)],[f1042]) ).
fof(f1093,plain,
! [X0,X1] :
( ~ c_in(X0,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg)
| c_in(X0,c_Event_Oused(X1),tc_Message_Omsg) ),
inference(cnf_transformation,[status(thm)],[f421]) ).
fof(f1094,plain,
! [X0] : c_Message_Oparts(c_Message_Oparts(X0)) = c_Message_Oparts(X0),
inference(cnf_transformation,[status(thm)],[f422]) ).
fof(f1143,plain,
c_in(v_K,c_Message_OsymKeys,tc_nat),
inference(cnf_transformation,[status(thm)],[f462]) ).
fof(f1145,plain,
c_in(v_X,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg),
inference(cnf_transformation,[status(thm)],[f464]) ).
fof(f1147,plain,
~ c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Event_Oused(v_evsf),tc_Message_Omsg),
inference(cnf_transformation,[status(thm)],[f466]) ).
fof(f1148,plain,
c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(c_Set_Oinsert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg))),tc_nat),
inference(cnf_transformation,[status(thm)],[f467]) ).
fof(f1149,plain,
( c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Event_Oused(v_evsf),tc_Message_Omsg)
| ~ c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_nat) ),
inference(cnf_transformation,[status(thm)],[f468]) ).
fof(f1184,definition,
( sQ0_spl
<=> c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_nat) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f1186,plain,
( sQ0_spl
| ~ c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_nat) ),
inference(component_clause,[status(thm)],[f1184]) ).
fof(f1187,definition,
( sQ1_spl
<=> c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Event_Oused(v_evsf),tc_Message_Omsg) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f1188,plain,
( ~ sQ1_spl
| c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Event_Oused(v_evsf),tc_Message_Omsg) ),
inference(component_clause,[status(thm)],[f1187]) ).
fof(f1190,plain,
( sQ1_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f1149,f1184,f1187]) ).
fof(f1341,definition,
! [X0] :
( sQ5_spl
<=> hAPP(c_Message_Omsg_OKey,v_K) = X0 ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f1342,plain,
! [X0] :
( ~ sQ5_spl
| hAPP(c_Message_Omsg_OKey,v_K) = X0 ),
inference(component_clause,[status(thm)],[f1341]) ).
fof(f1420,plain,
! [X0] : c_Lattices_Oupper__semilattice__class_Osup(X0,c_HOL_Ominus__class_Ominus(c_Message_Oparts(X0),X0,tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool)) = c_Message_Oparts(X0),
inference(resolution,[status(thm)],[f525,f726]) ).
fof(f1516,plain,
( ~ sQ1_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1188,f1147]) ).
fof(f1517,plain,
~ sQ1_spl,
inference(contradiction_clause,[status(thm)],[f1516]) ).
fof(f1695,plain,
! [X0,X1] :
( ~ sQ5_spl
| hAPP(c_Message_Omsg_OKey,v_K) != c_Event_Oevent_OGets(X0,X1) ),
inference(paramodulation,[status(thm)],[f1342,f545]) ).
fof(f1697,plain,
( ~ sQ5_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1695,f1342]) ).
fof(f1698,plain,
~ sQ5_spl,
inference(contradiction_clause,[status(thm)],[f1697]) ).
fof(f1980,definition,
! [X0,X1] :
( sQ11_spl
<=> ~ c_in(X0,X1,tc_Message_Oagent) ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f1981,plain,
! [X0,X1] :
( ~ sQ11_spl
| ~ c_in(X0,X1,tc_Message_Oagent) ),
inference(component_clause,[status(thm)],[f1980]) ).
fof(f2059,plain,
c_Message_OinvKey(v_K) = v_K,
inference(resolution,[status(thm)],[f848,f1143]) ).
fof(f2063,plain,
( ~ sQ11_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f548,f1981]) ).
fof(f2072,plain,
~ sQ11_spl,
inference(contradiction_clause,[status(thm)],[f2063]) ).
fof(f2586,plain,
! [X0] : c_Lattices_Oupper__semilattice__class_Osup(X0,c_Message_Oparts(X0),tc_fun(tc_Message_Omsg,tc_bool)) = c_Message_Oparts(X0),
inference(forward_demodulation,[status(thm)],[f582,f1420]) ).
fof(f2594,plain,
! [X0] : c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(X0),c_Message_Oparts(X0),tc_fun(tc_Message_Omsg,tc_bool)) = c_Message_Oparts(c_Message_Oparts(X0)),
inference(paramodulation,[status(thm)],[f1094,f2586]) ).
fof(f2610,plain,
! [X0] : c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(X0,X0,tc_fun(tc_Message_Omsg,tc_bool))) = c_Message_Oparts(c_Message_Oparts(X0)),
inference(forward_demodulation,[status(thm)],[f725,f2594]) ).
fof(f2611,plain,
! [X0] : c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(X0,X0,tc_fun(tc_Message_Omsg,tc_bool))) = c_Message_Oparts(X0),
inference(forward_demodulation,[status(thm)],[f1094,f2610]) ).
fof(f2965,plain,
! [X0,X1] :
( ~ c_in(X0,c_Message_OkeysFor(c_Message_Oparts(c_Set_Oinsert(v_X,X1,tc_Message_Omsg))),tc_nat)
| c_in(X0,c_Message_OkeysFor(c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(X1,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_fun(tc_Message_Omsg,tc_bool)))),tc_nat)
| c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(X0)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg) ),
inference(resolution,[status(thm)],[f1043,f1145]) ).
fof(f3169,plain,
( c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_fun(tc_Message_Omsg,tc_bool)))),tc_nat)
| c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(v_K)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg) ),
inference(resolution,[status(thm)],[f2965,f1148]) ).
fof(f3175,definition,
( sQ18_spl
<=> c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(v_K)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg) ),
introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition]) ).
fof(f3176,plain,
( ~ sQ18_spl
| c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(v_K)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg) ),
inference(component_clause,[status(thm)],[f3175]) ).
fof(f3178,definition,
( sQ19_spl
<=> c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_fun(tc_Message_Omsg,tc_bool)))),tc_nat) ),
introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition]) ).
fof(f3179,plain,
( ~ sQ19_spl
| c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_fun(tc_Message_Omsg,tc_bool)))),tc_nat) ),
inference(component_clause,[status(thm)],[f3178]) ).
fof(f3181,plain,
( sQ19_spl
| sQ18_spl ),
inference(split_clause,[status(thm)],[f3169,f3175,f3178]) ).
fof(f3186,plain,
( ~ sQ18_spl
| c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg) ),
inference(forward_demodulation,[status(thm)],[f2059,f3176]) ).
fof(f4779,plain,
( ~ sQ18_spl
| c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Event_Oused(v_evsf),tc_Message_Omsg) ),
inference(resolution,[status(thm)],[f1093,f3186]) ).
fof(f4786,plain,
( ~ sQ18_spl
| sQ1_spl ),
inference(split_clause,[status(thm)],[f4779,f1187,f3175]) ).
fof(f4788,plain,
( ~ sQ19_spl
| c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_nat) ),
inference(forward_demodulation,[status(thm)],[f2611,f3179]) ).
fof(f4789,plain,
( ~ sQ19_spl
| sQ0_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4788,f1186]) ).
fof(f4790,plain,
( ~ sQ19_spl
| sQ0_spl ),
inference(contradiction_clause,[status(thm)],[f4789]) ).
fof(f4791,plain,
$false,
inference(sat_refutation,[status(thm)],[f1190,f1517,f1698,f2072,f3181,f4786,f4790]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV727-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/5.37 % Computer : n003.cluster.edu
% 0.10/5.37 % Model : x86_64 x86_64
% 0.10/5.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.37 % Memory : 8046.5625MB
% 0.10/5.37 % OS : Linux 6.8.0-71-generic
% 0.10/5.37 % CPULimit : 300
% 0.10/5.37 % WCLimit : 300
% 0.10/5.37 % DateTime : Mon Sep 21 09:23:51 UTC 2026
% 0.10/5.38 % CPUTime :
% 0.10/5.40 % Drodi V4.1.1
% 6.99/6.39 % Refutation found
% 6.99/6.39 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 6.99/6.39 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 6.65/6.45 % Elapsed time: 1.055097 seconds
% 6.65/6.45 % CPU time: 8.054717 seconds
% 6.65/6.45 % Total memory used: 285.522 MB
% 6.65/6.45 % Net memory used: 276.093 MB
%------------------------------------------------------------------------------