%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWV734-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n018.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 5.39s 1.12s
% Output : CNFRefutation 5.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 10
% Syntax : Number of formulae : 36 ( 15 unt; 2 def)
% Number of atoms : 60 ( 9 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 48 ( 24 ~; 22 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 3 prp; 0-3 aty)
% Number of functors : 18 ( 18 usr; 9 con; 0-3 aty)
% Number of variables : 37 ( 37 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f189,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(f252,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(f382,axiom,
! [V_H] : c_Message_Oparts(c_Message_Oanalz(V_H)) = c_Message_Oparts(V_H),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f398,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(f411,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(f460,negated_conjecture,
c_in(c_Message_Omsg_OCrypt(v_KAB,v_X),c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),tc_Message_Omsg),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f461,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(f462,negated_conjecture,
~ c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),tc_Message_Omsg),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f745,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)],[f189]) ).
fof(f829,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)],[f252]) ).
fof(f830,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)],[f829]) ).
fof(f1031,plain,
! [X0] : c_Message_Oparts(c_Message_Oanalz(X0)) = c_Message_Oparts(X0),
inference(cnf_transformation,[status(thm)],[f382]) ).
fof(f1051,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)],[f398]) ).
fof(f1068,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)],[f411]) ).
fof(f1069,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)],[f1068]) ).
fof(f1132,plain,
c_in(c_Message_Omsg_OCrypt(v_KAB,v_X),c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),tc_Message_Omsg),
inference(cnf_transformation,[status(thm)],[f460]) ).
fof(f1133,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)],[f461]) ).
fof(f1134,plain,
~ c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),tc_Message_Omsg),
inference(cnf_transformation,[status(thm)],[f462]) ).
fof(f1323,plain,
! [X0,X1] :
( ~ c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg)
| c_Message_Oparts(c_Set_Oinsert(X0,c_Message_Oanalz(X1),tc_Message_Omsg)) = c_Message_Oparts(c_Message_Oanalz(X1)) ),
inference(paramodulation,[status(thm)],[f1031,f1051]) ).
fof(f1326,plain,
! [X0,X1] :
( ~ c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg)
| c_Message_Oparts(c_Set_Oinsert(X0,c_Message_Oanalz(X1),tc_Message_Omsg)) = c_Message_Oparts(X1) ),
inference(forward_demodulation,[status(thm)],[f1031,f1323]) ).
fof(f1436,plain,
c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OCrypt(v_KAB,v_X),c_Message_Oanalz(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),tc_Message_Omsg)) = c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),
inference(resolution,[status(thm)],[f1326,f1132]) ).
fof(f1655,definition,
( sQ9_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_Message_Oanalz(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),tc_Message_Omsg)),tc_Message_Omsg) ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f1656,plain,
( ~ sQ9_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_Message_Oanalz(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),tc_Message_Omsg)),tc_Message_Omsg) ),
inference(component_clause,[status(thm)],[f1655]) ).
fof(f1687,plain,
( ~ sQ9_spl
| c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),tc_Message_Omsg) ),
inference(forward_demodulation,[status(thm)],[f1436,f1656]) ).
fof(f1688,plain,
( ~ sQ9_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1687,f1134]) ).
fof(f1689,plain,
~ sQ9_spl,
inference(contradiction_clause,[status(thm)],[f1688]) ).
fof(f2108,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)],[f830,f1133]) ).
fof(f2118,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)],[f745,f2108]) ).
fof(f2151,plain,
( ~ c_in(v_X,c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),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_Message_Oanalz(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),tc_Message_Omsg)),tc_Message_Omsg) ),
inference(paramodulation,[status(thm)],[f1436,f2118]) ).
fof(f2159,definition,
( sQ23_spl
<=> c_in(v_X,c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),tc_Message_Omsg) ),
introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition]) ).
fof(f2161,plain,
( sQ23_spl
| ~ c_in(v_X,c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),tc_Message_Omsg) ),
inference(component_clause,[status(thm)],[f2159]) ).
fof(f2162,plain,
( ~ sQ23_spl
| sQ9_spl ),
inference(split_clause,[status(thm)],[f2151,f1655,f2159]) ).
fof(f4045,plain,
c_in(v_X,c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),tc_Message_Omsg),
inference(resolution,[status(thm)],[f1069,f1132]) ).
fof(f4062,plain,
( sQ23_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4045,f2161]) ).
fof(f4063,plain,
sQ23_spl,
inference(contradiction_clause,[status(thm)],[f4062]) ).
fof(f4064,plain,
$false,
inference(sat_refutation,[status(thm)],[f1689,f2162,f4063]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV734-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n018.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Mon Sep 21 09:24:30 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.12/0.39 % Drodi V4.1.1
% 5.39/1.12 % Refutation found
% 5.39/1.12 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 5.39/1.12 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 5.39/1.17 % Elapsed time: 0.800119 seconds
% 5.39/1.17 % CPU time: 5.875023 seconds
% 5.39/1.17 % Total memory used: 247.181 MB
% 5.39/1.17 % Net memory used: 240.347 MB
%------------------------------------------------------------------------------