%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWV315-1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : 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 02:47:17 PM UTC 2026
% Result : Unsatisfiable 172.17s 22.27s
% Output : CNFRefutation 156.70s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 53
% Syntax : Number of formulae : 179 ( 26 unt; 23 def)
% Number of atoms : 342 ( 25 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 322 ( 159 ~; 140 |; 0 &)
% ( 23 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 29 ( 27 usr; 24 prp; 0-3 aty)
% Number of functors : 22 ( 22 usr; 11 con; 0-3 aty)
% Number of variables : 161 ( 161 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f102,axiom,
! [V_A,V_B,T_a] :
( ~ c_lessequals(V_B,V_A,tc_set(T_a))
| ~ c_less(V_A,V_B,tc_set(T_a)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f103,axiom,
! [V_A,V_B,T_a] :
( c_lessequals(V_A,V_B,tc_set(T_a))
| ~ c_less(V_A,V_B,tc_set(T_a)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f112,axiom,
! [V_A,T_a] : c_lessequals(V_A,V_A,tc_set(T_a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f144,axiom,
class_Ring__and__Field_Oaxclass__0__neq__1(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2395,axiom,
! [T_a] :
( c_0 != c_1
| ~ class_Ring__and__Field_Oaxclass__0__neq__1(T_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2640,axiom,
! [V_c,V_A,V_B,T_a] :
( c_in(V_c,V_A,T_a)
| c_in(V_c,V_B,T_a)
| ~ c_in(V_c,c_union(V_A,V_B,T_a),T_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2672,axiom,
! [V_c,T_a] : ~ c_in(V_c,c_emptyset,T_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2685,axiom,
! [V_a,V_A,T_a,V_b] :
( c_in(V_a,c_insert(V_b,V_A,T_a),T_a)
| ~ c_in(V_a,V_A,T_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2688,axiom,
! [V_x,V_A,T_a,V_B] :
( c_in(V_x,V_B,T_a)
| ~ c_lessequals(c_insert(V_x,V_A,T_a),V_B,tc_set(T_a)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2734,axiom,
! [V_nat] : c_Message_Oagent_OFriend(V_nat) != c_Message_Oagent_OSpy,
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(f2770,axiom,
c_Message_Oparts(c_emptyset) = c_emptyset,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2807,axiom,
! [V_X,V_H] :
( c_Message_Osynth(c_Message_Oanalz(c_insert(V_X,V_H,tc_Message_Omsg))) = c_Message_Osynth(c_Message_Oanalz(V_H))
| ~ c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2831,axiom,
! [V_K,V_H] :
( c_in(c_Message_Omsg_OKey(V_K),V_H,tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OKey(V_K),c_Message_Osynth(V_H),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2847,axiom,
! [V_X,V_H] :
( c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg)
| ~ c_in(V_X,V_H,tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2852,axiom,
! [V_X,V_H] :
( c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg)
| ~ c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2857,axiom,
! [V_X,V_H] : c_Message_Oanalz(c_insert(c_Message_Omsg_OHash(V_X),V_H,tc_Message_Omsg)) = c_insert(c_Message_Omsg_OHash(V_X),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(f2870,axiom,
! [V_X,V_H] :
( c_Message_Oparts(c_insert(V_X,V_H,tc_Message_Omsg)) = c_Message_Oparts(V_H)
| ~ c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2881,axiom,
! [V_G,V_H] :
( c_lessequals(V_G,c_Message_Oparts(V_H),tc_set(tc_Message_Omsg))
| ~ c_lessequals(c_Message_Oparts(V_G),c_Message_Oparts(V_H),tc_set(tc_Message_Omsg)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2882,axiom,
! [V_G,V_H] :
( c_lessequals(c_Message_Oparts(V_G),c_Message_Oparts(V_H),tc_set(tc_Message_Omsg))
| ~ c_lessequals(V_G,c_Message_Oparts(V_H),tc_set(tc_Message_Omsg)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2885,axiom,
! [V_X,V_H] :
( c_in(c_Message_Omsg_OHash(V_X),c_Message_Osynth(V_H),tc_Message_Omsg)
| ~ c_in(V_X,c_Message_Osynth(V_H),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2888,axiom,
! [V_G,V_H] :
( c_lessequals(V_G,c_Message_Osynth(V_H),tc_set(tc_Message_Omsg))
| ~ c_lessequals(c_Message_Osynth(V_G),c_Message_Osynth(V_H),tc_set(tc_Message_Omsg)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2889,axiom,
! [V_G,V_H] :
( c_lessequals(c_Message_Osynth(V_G),c_Message_Osynth(V_H),tc_set(tc_Message_Omsg))
| ~ c_lessequals(V_G,c_Message_Osynth(V_H),tc_set(tc_Message_Omsg)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2897,axiom,
! [V_A,V_evs] :
( c_in(c_Message_Omsg_OKey(c_Public_OshrK(V_A)),c_Event_Oknows(c_Message_Oagent_OSpy,V_evs),tc_Message_Omsg)
| ~ c_in(V_A,c_Event_Obad,tc_Message_Oagent) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2934,axiom,
! [V_Z,V_X,V_H] :
( c_in(V_Z,c_union(c_Message_Osynth(c_Message_Oanalz(V_H)),c_Message_Oparts(V_H),tc_Message_Omsg),tc_Message_Omsg)
| ~ c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg)
| ~ c_in(V_Z,c_Message_Oparts(c_insert(V_X,V_H,tc_Message_Omsg)),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2939,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(f2940,negated_conjecture,
( ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg)
| c_in(v_A,c_Event_Obad,tc_Message_Oagent) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2942,negated_conjecture,
( ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_in(v_A,c_Event_Obad,tc_Message_Oagent) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2943,negated_conjecture,
( c_in(v_A,c_Event_Obad,tc_Message_Oagent)
| c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3073,plain,
! [X0,X1,X2] :
( ~ c_lessequals(X1,X0,tc_set(X2))
| ~ c_less(X0,X1,tc_set(X2)) ),
inference(cnf_transformation,[status(thm)],[f102]) ).
fof(f3074,plain,
! [X0,X1,X2] :
( c_lessequals(X0,X1,tc_set(X2))
| ~ c_less(X0,X1,tc_set(X2)) ),
inference(cnf_transformation,[status(thm)],[f103]) ).
fof(f3088,plain,
! [X0,X1] : c_lessequals(X0,X0,tc_set(X1)),
inference(cnf_transformation,[status(thm)],[f112]) ).
fof(f3126,plain,
class_Ring__and__Field_Oaxclass__0__neq__1(tc_IntDef_Oint),
inference(cnf_transformation,[status(thm)],[f144]) ).
fof(f5817,plain,
( c_0 != c_1
| ! [T_a] : ~ class_Ring__and__Field_Oaxclass__0__neq__1(T_a) ),
inference(miniscoping,[status(thm)],[f2395]) ).
fof(f5818,plain,
! [X0] :
( c_0 != c_1
| ~ class_Ring__and__Field_Oaxclass__0__neq__1(X0) ),
inference(cnf_transformation,[status(thm)],[f5817]) ).
fof(f6165,plain,
! [V_c,V_A,T_a] :
( c_in(V_c,V_A,T_a)
| ! [V_B] :
( c_in(V_c,V_B,T_a)
| ~ c_in(V_c,c_union(V_A,V_B,T_a),T_a) ) ),
inference(miniscoping,[status(thm)],[f2640]) ).
fof(f6166,plain,
! [X0,X1,X2,X3] :
( ~ c_in(X0,c_union(X3,X1,X2),X2)
| c_in(X0,X3,X2)
| c_in(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f6165]) ).
fof(f6210,plain,
! [X0,X1] : ~ c_in(X0,c_emptyset,X1),
inference(cnf_transformation,[status(thm)],[f2672]) ).
fof(f6229,plain,
! [V_a,V_A,T_a] :
( ! [V_b] : c_in(V_a,c_insert(V_b,V_A,T_a),T_a)
| ~ c_in(V_a,V_A,T_a) ),
inference(miniscoping,[status(thm)],[f2685]) ).
fof(f6230,plain,
! [X0,X1,X2,X3] :
( c_in(X0,c_insert(X3,X1,X2),X2)
| ~ c_in(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f6229]) ).
fof(f6233,plain,
! [V_x,T_a,V_B] :
( c_in(V_x,V_B,T_a)
| ! [V_A] : ~ c_lessequals(c_insert(V_x,V_A,T_a),V_B,tc_set(T_a)) ),
inference(miniscoping,[status(thm)],[f2688]) ).
fof(f6234,plain,
! [X0,X1,X2,X3] :
( c_in(X0,X3,X2)
| ~ c_lessequals(c_insert(X0,X1,X2),X3,tc_set(X2)) ),
inference(cnf_transformation,[status(thm)],[f6233]) ).
fof(f6293,plain,
! [X0] : c_Message_Oagent_OSpy != c_Message_Oagent_OFriend(X0),
inference(cnf_transformation,[status(thm)],[f2734]) ).
fof(f6330,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(f6333,plain,
c_Message_Oparts(c_emptyset) = c_emptyset,
inference(cnf_transformation,[status(thm)],[f2770]) ).
fof(f6381,plain,
! [X0,X1] :
( c_Message_Osynth(c_Message_Oanalz(X1)) = c_Message_Osynth(c_Message_Oanalz(c_insert(X0,X1,tc_Message_Omsg)))
| ~ c_in(X0,c_Message_Osynth(c_Message_Oanalz(X1)),tc_Message_Omsg) ),
inference(cnf_transformation,[status(thm)],[f2807]) ).
fof(f6410,plain,
! [X0,X1] :
( c_in(c_Message_Omsg_OKey(X0),X1,tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OKey(X0),c_Message_Osynth(X1),tc_Message_Omsg) ),
inference(cnf_transformation,[status(thm)],[f2831]) ).
fof(f6433,plain,
! [X0,X1] :
( ~ c_in(X0,X1,tc_Message_Omsg)
| c_in(X0,c_Message_Oanalz(X1),tc_Message_Omsg) ),
inference(cnf_transformation,[status(thm)],[f2847]) ).
fof(f6440,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)],[f2852]) ).
fof(f6445,plain,
! [X0,X1] : c_Message_Oanalz(c_insert(c_Message_Omsg_OHash(X0),X1,tc_Message_Omsg)) = c_insert(c_Message_Omsg_OHash(X0),c_Message_Oanalz(X1),tc_Message_Omsg),
inference(cnf_transformation,[status(thm)],[f2857]) ).
fof(f6458,plain,
! [X0] : c_Message_Oparts(X0) = c_Message_Oparts(c_Message_Oanalz(X0)),
inference(cnf_transformation,[status(thm)],[f2869]) ).
fof(f6459,plain,
! [X0,X1] :
( ~ c_in(X1,c_Message_Oparts(X0),tc_Message_Omsg)
| c_Message_Oparts(X0) = c_Message_Oparts(c_insert(X1,X0,tc_Message_Omsg)) ),
inference(cnf_transformation,[status(thm)],[f2870]) ).
fof(f6470,plain,
! [X0,X1] :
( c_lessequals(X0,c_Message_Oparts(X1),tc_set(tc_Message_Omsg))
| ~ c_lessequals(c_Message_Oparts(X0),c_Message_Oparts(X1),tc_set(tc_Message_Omsg)) ),
inference(cnf_transformation,[status(thm)],[f2881]) ).
fof(f6471,plain,
! [X0,X1] :
( ~ c_lessequals(X0,c_Message_Oparts(X1),tc_set(tc_Message_Omsg))
| c_lessequals(c_Message_Oparts(X0),c_Message_Oparts(X1),tc_set(tc_Message_Omsg)) ),
inference(cnf_transformation,[status(thm)],[f2882]) ).
fof(f6474,plain,
! [X0,X1] :
( c_in(c_Message_Omsg_OHash(X0),c_Message_Osynth(X1),tc_Message_Omsg)
| ~ c_in(X0,c_Message_Osynth(X1),tc_Message_Omsg) ),
inference(cnf_transformation,[status(thm)],[f2885]) ).
fof(f6477,plain,
! [X0,X1] :
( ~ c_lessequals(c_Message_Osynth(X0),c_Message_Osynth(X1),tc_set(tc_Message_Omsg))
| c_lessequals(X0,c_Message_Osynth(X1),tc_set(tc_Message_Omsg)) ),
inference(cnf_transformation,[status(thm)],[f2888]) ).
fof(f6478,plain,
! [X0,X1] :
( ~ c_lessequals(X0,c_Message_Osynth(X1),tc_set(tc_Message_Omsg))
| c_lessequals(c_Message_Osynth(X0),c_Message_Osynth(X1),tc_set(tc_Message_Omsg)) ),
inference(cnf_transformation,[status(thm)],[f2889]) ).
fof(f6489,plain,
! [V_A] :
( ! [V_evs] : c_in(c_Message_Omsg_OKey(c_Public_OshrK(V_A)),c_Event_Oknows(c_Message_Oagent_OSpy,V_evs),tc_Message_Omsg)
| ~ c_in(V_A,c_Event_Obad,tc_Message_Oagent) ),
inference(miniscoping,[status(thm)],[f2897]) ).
fof(f6490,plain,
! [X0,X1] :
( ~ c_in(X0,c_Event_Obad,tc_Message_Oagent)
| c_in(c_Message_Omsg_OKey(c_Public_OshrK(X0)),c_Event_Oknows(c_Message_Oagent_OSpy,X1),tc_Message_Omsg) ),
inference(cnf_transformation,[status(thm)],[f6489]) ).
fof(f6530,plain,
! [V_Z,V_H] :
( c_in(V_Z,c_union(c_Message_Osynth(c_Message_Oanalz(V_H)),c_Message_Oparts(V_H),tc_Message_Omsg),tc_Message_Omsg)
| ! [V_X] :
( ~ c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg)
| ~ c_in(V_Z,c_Message_Oparts(c_insert(V_X,V_H,tc_Message_Omsg)),tc_Message_Omsg) ) ),
inference(miniscoping,[status(thm)],[f2934]) ).
fof(f6531,plain,
! [X0,X1,X2] :
( ~ c_in(X2,c_Message_Oparts(c_insert(X0,X1,tc_Message_Omsg)),tc_Message_Omsg)
| c_in(X2,c_union(c_Message_Osynth(c_Message_Oanalz(X1)),c_Message_Oparts(X1),tc_Message_Omsg),tc_Message_Omsg)
| ~ c_in(X0,c_Message_Osynth(c_Message_Oanalz(X1)),tc_Message_Omsg) ),
inference(cnf_transformation,[status(thm)],[f6530]) ).
fof(f6538,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)],[f2939]) ).
fof(f6539,plain,
( ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg)
| 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_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_in(v_A,c_Event_Obad,tc_Message_Oagent) ),
inference(cnf_transformation,[status(thm)],[f2942]) ).
fof(f6542,plain,
( c_in(v_A,c_Event_Obad,tc_Message_Oagent)
| c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),tc_Message_Omsg) ),
inference(cnf_transformation,[status(thm)],[f2943]) ).
fof(f6543,definition,
! [X0] :
( sQ0_spl
<=> ~ class_Ring__and__Field_Oaxclass__0__neq__1(X0) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f6544,plain,
! [X0] :
( ~ sQ0_spl
| ~ class_Ring__and__Field_Oaxclass__0__neq__1(X0) ),
inference(component_clause,[status(thm)],[f6543]) ).
fof(f6546,definition,
( sQ1_spl
<=> c_0 = c_1 ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f6549,plain,
( ~ sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f5818,f6543,f6546]) ).
fof(f6551,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,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_evsf)),tc_Message_Omsg) ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f6556,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_evsf)),tc_Message_Omsg) ),
inference(component_clause,[status(thm)],[f6554]) ).
fof(f6557,plain,
( ~ sQ3_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f6539,f6551,f6554]) ).
fof(f6559,definition,
( sQ4_spl
<=> c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),tc_Message_Omsg) ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f6560,plain,
( ~ sQ4_spl
| c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),tc_Message_Omsg) ),
inference(component_clause,[status(thm)],[f6559]) ).
fof(f6561,plain,
( sQ4_spl
| ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),tc_Message_Omsg) ),
inference(component_clause,[status(thm)],[f6559]) ).
fof(f6562,plain,
( ~ sQ4_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f6541,f6551,f6559]) ).
fof(f6563,plain,
( sQ2_spl
| sQ4_spl ),
inference(split_clause,[status(thm)],[f6542,f6559,f6551]) ).
fof(f6566,plain,
( ~ sQ0_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3126,f6544]) ).
fof(f6567,plain,
~ sQ0_spl,
inference(contradiction_clause,[status(thm)],[f6566]) ).
fof(f6765,plain,
( sQ3_spl
| ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg) ),
inference(resolution,[status(thm)],[f6440,f6556]) ).
fof(f6766,plain,
! [X0,X1] :
( ~ c_less(c_Message_Osynth(X1),c_Message_Osynth(X0),tc_set(tc_Message_Omsg))
| ~ c_lessequals(X0,c_Message_Osynth(X1),tc_set(tc_Message_Omsg)) ),
inference(resolution,[status(thm)],[f3073,f6478]) ).
fof(f6783,plain,
! [X0,X1] :
( ~ c_less(c_Message_Oparts(X1),c_Message_Oparts(X0),tc_set(tc_Message_Omsg))
| ~ c_lessequals(X0,c_Message_Oparts(X1),tc_set(tc_Message_Omsg)) ),
inference(resolution,[status(thm)],[f6471,f3073]) ).
fof(f6791,plain,
! [X0,X1] :
( ~ c_lessequals(c_Message_Oanalz(X0),c_Message_Oparts(X1),tc_set(tc_Message_Omsg))
| c_lessequals(c_Message_Oparts(X0),c_Message_Oparts(X1),tc_set(tc_Message_Omsg)) ),
inference(paramodulation,[status(thm)],[f6458,f6471]) ).
fof(f6795,plain,
! [X0,X1] :
( c_lessequals(c_Message_Oanalz(X0),c_Message_Oparts(X1),tc_set(tc_Message_Omsg))
| ~ c_lessequals(c_Message_Oparts(X0),c_Message_Oparts(X1),tc_set(tc_Message_Omsg)) ),
inference(paramodulation,[status(thm)],[f6458,f6470]) ).
fof(f6817,plain,
! [X0,X1] :
( c_lessequals(X0,c_Message_Oparts(X1),tc_set(tc_Message_Omsg))
| ~ c_less(c_Message_Oparts(X0),c_Message_Oparts(X1),tc_set(tc_Message_Omsg)) ),
inference(resolution,[status(thm)],[f3074,f6470]) ).
fof(f7163,plain,
! [X0,X1] :
( c_Message_Oparts(X1) = c_Message_Oparts(c_insert(X0,X1,tc_Message_Omsg))
| ~ c_in(X0,X1,tc_Message_Omsg) ),
inference(resolution,[status(thm)],[f6459,f6330]) ).
fof(f7186,plain,
c_Message_Oparts(c_insert(v_X,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg)) = c_Message_Oparts(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)))),
inference(resolution,[status(thm)],[f7163,f6538]) ).
fof(f7292,plain,
! [X0] :
( c_lessequals(X0,c_Message_Oparts(c_emptyset),tc_set(tc_Message_Omsg))
| ~ c_lessequals(c_Message_Oparts(X0),c_emptyset,tc_set(tc_Message_Omsg)) ),
inference(paramodulation,[status(thm)],[f6333,f6470]) ).
fof(f7297,plain,
! [X0] :
( c_lessequals(X0,c_emptyset,tc_set(tc_Message_Omsg))
| ~ c_lessequals(c_Message_Oparts(X0),c_emptyset,tc_set(tc_Message_Omsg)) ),
inference(forward_demodulation,[status(thm)],[f6333,f7292]) ).
fof(f7316,plain,
! [X0,X1] :
( ~ c_in(X0,c_Message_Osynth(c_Message_Oanalz(X1)),tc_Message_Omsg)
| c_Message_Osynth(c_Message_Oanalz(c_insert(c_Message_Omsg_OHash(X0),X1,tc_Message_Omsg))) = c_Message_Osynth(c_Message_Oanalz(X1)) ),
inference(resolution,[status(thm)],[f6381,f6474]) ).
fof(f7318,plain,
c_Message_Osynth(c_Message_Oanalz(c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg))) = c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),
inference(resolution,[status(thm)],[f6381,f6538]) ).
fof(f7330,plain,
! [X0,X1] :
( c_Message_Osynth(c_insert(c_Message_Omsg_OHash(X0),c_Message_Oanalz(X1),tc_Message_Omsg)) = c_Message_Osynth(c_Message_Oanalz(X1))
| ~ c_in(X0,c_Message_Osynth(c_Message_Oanalz(X1)),tc_Message_Omsg) ),
inference(forward_demodulation,[status(thm)],[f6445,f7316]) ).
fof(f7352,plain,
! [X0] :
( ~ c_lessequals(c_Message_Oanalz(c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),c_Message_Osynth(X0),tc_set(tc_Message_Omsg))
| ~ c_less(c_Message_Osynth(X0),c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_set(tc_Message_Omsg)) ),
inference(paramodulation,[status(thm)],[f7318,f6766]) ).
fof(f7363,plain,
! [X0] :
( c_lessequals(c_Message_Oanalz(c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),c_Message_Osynth(X0),tc_set(tc_Message_Omsg))
| ~ c_lessequals(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),c_Message_Osynth(X0),tc_set(tc_Message_Omsg)) ),
inference(paramodulation,[status(thm)],[f7318,f6477]) ).
fof(f7368,plain,
! [X0] :
( c_lessequals(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),c_Message_Osynth(X0),tc_set(tc_Message_Omsg))
| ~ c_lessequals(c_Message_Oanalz(c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),c_Message_Osynth(X0),tc_set(tc_Message_Omsg)) ),
inference(paramodulation,[status(thm)],[f7318,f6478]) ).
fof(f7479,plain,
! [X0] :
( c_lessequals(c_insert(v_X,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg),c_Message_Oparts(X0),tc_set(tc_Message_Omsg))
| ~ c_lessequals(c_Message_Oparts(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)))),c_Message_Oparts(X0),tc_set(tc_Message_Omsg)) ),
inference(paramodulation,[status(thm)],[f7186,f6470]) ).
fof(f7856,plain,
! [X0] :
( ~ c_lessequals(c_insert(v_X,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg),c_Message_Oparts(X0),tc_set(tc_Message_Omsg))
| ~ c_less(c_Message_Oparts(X0),c_Message_Oparts(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)))),tc_set(tc_Message_Omsg)) ),
inference(paramodulation,[status(thm)],[f7186,f6783]) ).
fof(f7880,plain,
! [X0] :
( ~ c_lessequals(c_Message_Oparts(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)))),c_Message_Oparts(X0),tc_set(tc_Message_Omsg))
| c_lessequals(c_Message_Oanalz(c_insert(v_X,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg)),c_Message_Oparts(X0),tc_set(tc_Message_Omsg)) ),
inference(paramodulation,[status(thm)],[f7186,f6795]) ).
fof(f7909,plain,
! [X0] :
( ~ c_lessequals(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),c_Message_Osynth(X0),tc_set(tc_Message_Omsg))
| ~ c_less(c_Message_Osynth(X0),c_Message_Oanalz(c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),tc_set(tc_Message_Omsg)) ),
inference(resolution,[status(thm)],[f7363,f3073]) ).
fof(f7910,plain,
( c_lessequals(c_Message_Oanalz(c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_set(tc_Message_Omsg))
| ~ c_lessequals(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),c_Message_Osynth(c_Message_Oanalz(c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg))),tc_set(tc_Message_Omsg)) ),
inference(paramodulation,[status(thm)],[f7318,f7363]) ).
fof(f7911,definition,
( sQ5_spl
<=> c_lessequals(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),c_Message_Osynth(c_Message_Oanalz(c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg))),tc_set(tc_Message_Omsg)) ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f7913,plain,
( sQ5_spl
| ~ c_lessequals(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),c_Message_Osynth(c_Message_Oanalz(c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg))),tc_set(tc_Message_Omsg)) ),
inference(component_clause,[status(thm)],[f7911]) ).
fof(f7914,definition,
( sQ6_spl
<=> c_lessequals(c_Message_Oanalz(c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_set(tc_Message_Omsg)) ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f7917,plain,
( sQ6_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f7910,f7911,f7914]) ).
fof(f7918,plain,
( sQ5_spl
| ~ c_lessequals(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_set(tc_Message_Omsg)) ),
inference(forward_demodulation,[status(thm)],[f7318,f7913]) ).
fof(f7919,plain,
( sQ5_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f7918,f3088]) ).
fof(f7920,plain,
sQ5_spl,
inference(contradiction_clause,[status(thm)],[f7919]) ).
fof(f7924,plain,
( sQ4_spl
| ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oanalz(c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),tc_Message_Omsg) ),
inference(resolution,[status(thm)],[f6561,f6440]) ).
fof(f8039,plain,
! [X0] :
( c_lessequals(c_Message_Oparts(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)))),c_Message_Oparts(X0),tc_set(tc_Message_Omsg))
| ~ c_lessequals(c_Message_Oanalz(c_insert(v_X,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg)),c_Message_Oparts(X0),tc_set(tc_Message_Omsg)) ),
inference(paramodulation,[status(thm)],[f7186,f6791]) ).
fof(f8099,plain,
! [X0] :
( c_lessequals(c_insert(v_X,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg),c_Message_Oparts(X0),tc_set(tc_Message_Omsg))
| ~ c_less(c_Message_Oparts(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)))),c_Message_Oparts(X0),tc_set(tc_Message_Omsg)) ),
inference(paramodulation,[status(thm)],[f7186,f6817]) ).
fof(f8348,plain,
( sQ4_spl
| ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg),tc_Message_Omsg) ),
inference(resolution,[status(thm)],[f7924,f6433]) ).
fof(f8489,definition,
! [X0] :
( sQ7_spl
<=> X0 = c_Message_Omsg_OKey(c_Public_OshrK(c_Message_Oagent_OSpy)) ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f8490,plain,
! [X0] :
( ~ sQ7_spl
| c_Message_Omsg_OKey(c_Public_OshrK(c_Message_Oagent_OSpy)) = X0 ),
inference(component_clause,[status(thm)],[f8489]) ).
fof(f8559,plain,
! [X0,X1] :
( ~ sQ7_spl
| X0 = X1 ),
inference(paramodulation,[status(thm)],[f8490,f8490]) ).
fof(f8669,plain,
( ~ sQ7_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f6293,f8559]) ).
fof(f8676,plain,
~ sQ7_spl,
inference(contradiction_clause,[status(thm)],[f8669]) ).
fof(f8911,plain,
( sQ4_spl
| ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg) ),
inference(resolution,[status(thm)],[f8348,f6230]) ).
fof(f9010,plain,
( ~ c_lessequals(c_Message_Oanalz(c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_set(tc_Message_Omsg))
| ~ c_less(c_Message_Osynth(c_Message_Oanalz(c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg))),c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_set(tc_Message_Omsg)) ),
inference(paramodulation,[status(thm)],[f7318,f7352]) ).
fof(f9011,definition,
( sQ11_spl
<=> c_less(c_Message_Osynth(c_Message_Oanalz(c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg))),c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_set(tc_Message_Omsg)) ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f9014,plain,
( ~ sQ6_spl
| ~ sQ11_spl ),
inference(split_clause,[status(thm)],[f9010,f9011,f7914]) ).
fof(f9159,plain,
( sQ4_spl
| ~ c_in(v_A,c_Event_Obad,tc_Message_Oagent) ),
inference(resolution,[status(thm)],[f6490,f8911]) ).
fof(f9161,plain,
( sQ4_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f9159,f6551,f6559]) ).
fof(f11667,plain,
! [X0] :
( ~ c_in(X0,c_Message_Oparts(c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),tc_Message_Omsg)
| c_in(X0,c_union(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg),tc_Message_Omsg) ),
inference(resolution,[status(thm)],[f6531,f6538]) ).
fof(f11850,plain,
( c_lessequals(c_insert(v_X,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg),c_emptyset,tc_set(tc_Message_Omsg))
| ~ c_lessequals(c_Message_Oparts(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)))),c_emptyset,tc_set(tc_Message_Omsg)) ),
inference(paramodulation,[status(thm)],[f7186,f7297]) ).
fof(f11868,definition,
( sQ29_spl
<=> c_lessequals(c_Message_Oparts(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)))),c_emptyset,tc_set(tc_Message_Omsg)) ),
introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition]) ).
fof(f11871,definition,
( sQ30_spl
<=> c_lessequals(c_insert(v_X,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg),c_emptyset,tc_set(tc_Message_Omsg)) ),
introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition]) ).
fof(f11872,plain,
( ~ sQ30_spl
| c_lessequals(c_insert(v_X,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg),c_emptyset,tc_set(tc_Message_Omsg)) ),
inference(component_clause,[status(thm)],[f11871]) ).
fof(f11874,plain,
( sQ30_spl
| ~ sQ29_spl ),
inference(split_clause,[status(thm)],[f11850,f11868,f11871]) ).
fof(f11945,definition,
( sQ43_spl
<=> c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_emptyset,tc_Message_Omsg) ),
introduced(definition,[new_symbols(definition,[sQ43_spl])],[split_symbol_definition]) ).
fof(f11946,plain,
( ~ sQ43_spl
| c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_emptyset,tc_Message_Omsg) ),
inference(component_clause,[status(thm)],[f11945]) ).
fof(f12064,plain,
( ~ sQ43_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f11946,f6210]) ).
fof(f12065,plain,
~ sQ43_spl,
inference(contradiction_clause,[status(thm)],[f12064]) ).
fof(f12344,plain,
( ~ sQ30_spl
| c_in(v_X,c_emptyset,tc_Message_Omsg) ),
inference(resolution,[status(thm)],[f11872,f6234]) ).
fof(f12346,plain,
( ~ sQ30_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f12344,f6210]) ).
fof(f12347,plain,
~ sQ30_spl,
inference(contradiction_clause,[status(thm)],[f12346]) ).
fof(f12507,plain,
( c_lessequals(c_insert(v_X,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg),c_emptyset,tc_set(tc_Message_Omsg))
| ~ c_lessequals(c_Message_Oparts(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)))),c_Message_Oparts(c_emptyset),tc_set(tc_Message_Omsg)) ),
inference(paramodulation,[status(thm)],[f6333,f7479]) ).
fof(f12510,plain,
( c_lessequals(c_insert(v_X,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg),c_Message_Oparts(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)))),tc_set(tc_Message_Omsg))
| ~ c_lessequals(c_Message_Oparts(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)))),c_Message_Oparts(c_insert(v_X,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg)),tc_set(tc_Message_Omsg)) ),
inference(paramodulation,[status(thm)],[f7186,f7479]) ).
fof(f12529,definition,
( sQ51_spl
<=> c_lessequals(c_Message_Oparts(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)))),c_Message_Oparts(c_emptyset),tc_set(tc_Message_Omsg)) ),
introduced(definition,[new_symbols(definition,[sQ51_spl])],[split_symbol_definition]) ).
fof(f12532,plain,
( sQ30_spl
| ~ sQ51_spl ),
inference(split_clause,[status(thm)],[f12507,f12529,f11871]) ).
fof(f12539,definition,
( sQ53_spl
<=> c_lessequals(c_Message_Oparts(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)))),c_Message_Oparts(c_insert(v_X,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg)),tc_set(tc_Message_Omsg)) ),
introduced(definition,[new_symbols(definition,[sQ53_spl])],[split_symbol_definition]) ).
fof(f12541,plain,
( sQ53_spl
| ~ c_lessequals(c_Message_Oparts(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)))),c_Message_Oparts(c_insert(v_X,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg)),tc_set(tc_Message_Omsg)) ),
inference(component_clause,[status(thm)],[f12539]) ).
fof(f12542,definition,
( sQ54_spl
<=> c_lessequals(c_insert(v_X,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg),c_Message_Oparts(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)))),tc_set(tc_Message_Omsg)) ),
introduced(definition,[new_symbols(definition,[sQ54_spl])],[split_symbol_definition]) ).
fof(f12545,plain,
( sQ54_spl
| ~ sQ53_spl ),
inference(split_clause,[status(thm)],[f12510,f12539,f12542]) ).
fof(f12567,plain,
( sQ53_spl
| ~ c_lessequals(c_Message_Oparts(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)))),c_Message_Oparts(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)))),tc_set(tc_Message_Omsg)) ),
inference(forward_demodulation,[status(thm)],[f7186,f12541]) ).
fof(f12568,plain,
( sQ53_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f12567,f3088]) ).
fof(f12569,plain,
sQ53_spl,
inference(contradiction_clause,[status(thm)],[f12568]) ).
fof(f13635,plain,
( ~ c_lessequals(c_insert(v_X,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg),c_Message_Oparts(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)))),tc_set(tc_Message_Omsg))
| ~ c_less(c_Message_Oparts(c_insert(v_X,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg)),c_Message_Oparts(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)))),tc_set(tc_Message_Omsg)) ),
inference(paramodulation,[status(thm)],[f7186,f7856]) ).
fof(f13672,definition,
( sQ73_spl
<=> c_less(c_Message_Oparts(c_insert(v_X,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg)),c_Message_Oparts(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)))),tc_set(tc_Message_Omsg)) ),
introduced(definition,[new_symbols(definition,[sQ73_spl])],[split_symbol_definition]) ).
fof(f13675,plain,
( ~ sQ54_spl
| ~ sQ73_spl ),
inference(split_clause,[status(thm)],[f13635,f13672,f12542]) ).
fof(f13703,plain,
( ~ c_lessequals(c_Message_Oparts(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)))),c_Message_Oparts(c_insert(v_X,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg)),tc_set(tc_Message_Omsg))
| c_lessequals(c_Message_Oanalz(c_insert(v_X,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg)),c_Message_Oparts(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)))),tc_set(tc_Message_Omsg)) ),
inference(paramodulation,[status(thm)],[f7186,f7880]) ).
fof(f13716,definition,
( sQ78_spl
<=> c_lessequals(c_Message_Oanalz(c_insert(v_X,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg)),c_Message_Oparts(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)))),tc_set(tc_Message_Omsg)) ),
introduced(definition,[new_symbols(definition,[sQ78_spl])],[split_symbol_definition]) ).
fof(f13719,plain,
( ~ sQ53_spl
| sQ78_spl ),
inference(split_clause,[status(thm)],[f13703,f13716,f12539]) ).
fof(f13730,definition,
( sQ79_spl
<=> c_lessequals(c_Message_Oanalz(c_insert(v_X,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg)),c_emptyset,tc_set(tc_Message_Omsg)) ),
introduced(definition,[new_symbols(definition,[sQ79_spl])],[split_symbol_definition]) ).
fof(f13790,definition,
( sQ80_spl
<=> c_less(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),c_Message_Oanalz(c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),tc_set(tc_Message_Omsg)) ),
introduced(definition,[new_symbols(definition,[sQ80_spl])],[split_symbol_definition]) ).
fof(f15417,plain,
( c_lessequals(c_Message_Oparts(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)))),c_Message_Oparts(c_emptyset),tc_set(tc_Message_Omsg))
| ~ c_lessequals(c_Message_Oanalz(c_insert(v_X,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg)),c_emptyset,tc_set(tc_Message_Omsg)) ),
inference(paramodulation,[status(thm)],[f6333,f8039]) ).
fof(f15444,plain,
( sQ51_spl
| ~ sQ79_spl ),
inference(split_clause,[status(thm)],[f15417,f13730,f12529]) ).
fof(f15468,plain,
( c_lessequals(c_insert(v_X,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg),c_emptyset,tc_set(tc_Message_Omsg))
| ~ c_less(c_Message_Oparts(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)))),c_Message_Oparts(c_emptyset),tc_set(tc_Message_Omsg)) ),
inference(paramodulation,[status(thm)],[f6333,f8099]) ).
fof(f15497,definition,
( sQ91_spl
<=> c_less(c_Message_Oparts(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)))),c_Message_Oparts(c_emptyset),tc_set(tc_Message_Omsg)) ),
introduced(definition,[new_symbols(definition,[sQ91_spl])],[split_symbol_definition]) ).
fof(f15500,plain,
( sQ30_spl
| ~ sQ91_spl ),
inference(split_clause,[status(thm)],[f15468,f15497,f11871]) ).
fof(f15644,plain,
c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))) = c_Message_Osynth(c_insert(c_Message_Omsg_OHash(v_X),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg)),
inference(resolution,[status(thm)],[f7330,f6538]) ).
fof(f15813,plain,
! [X0] :
( ~ c_in(X0,c_Message_Oparts(c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),tc_Message_Omsg)
| c_in(X0,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg)
| c_in(X0,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg) ),
inference(resolution,[status(thm)],[f6166,f11667]) ).
fof(f16179,plain,
( ~ c_lessequals(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),c_Message_Osynth(c_insert(c_Message_Omsg_OHash(v_X),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg)),tc_set(tc_Message_Omsg))
| ~ c_less(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),c_Message_Oanalz(c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),tc_set(tc_Message_Omsg)) ),
inference(paramodulation,[status(thm)],[f15644,f7909]) ).
fof(f16190,plain,
( c_lessequals(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),c_Message_Osynth(c_insert(c_Message_Omsg_OHash(v_X),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg)),tc_set(tc_Message_Omsg))
| ~ c_lessequals(c_Message_Oanalz(c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_set(tc_Message_Omsg)) ),
inference(paramodulation,[status(thm)],[f15644,f7368]) ).
fof(f16191,plain,
( ~ c_lessequals(c_Message_Oanalz(c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_set(tc_Message_Omsg))
| ~ c_less(c_Message_Osynth(c_insert(c_Message_Omsg_OHash(v_X),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg)),c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_set(tc_Message_Omsg)) ),
inference(paramodulation,[status(thm)],[f15644,f7352]) ).
fof(f16218,definition,
( sQ99_spl
<=> c_less(c_Message_Osynth(c_insert(c_Message_Omsg_OHash(v_X),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg)),c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_set(tc_Message_Omsg)) ),
introduced(definition,[new_symbols(definition,[sQ99_spl])],[split_symbol_definition]) ).
fof(f16221,plain,
( ~ sQ6_spl
| ~ sQ99_spl ),
inference(split_clause,[status(thm)],[f16191,f16218,f7914]) ).
fof(f16223,definition,
( sQ100_spl
<=> c_lessequals(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),c_Message_Osynth(c_insert(c_Message_Omsg_OHash(v_X),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg)),tc_set(tc_Message_Omsg)) ),
introduced(definition,[new_symbols(definition,[sQ100_spl])],[split_symbol_definition]) ).
fof(f16234,plain,
( sQ100_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f16190,f7914,f16223]) ).
fof(f16238,plain,
( ~ sQ100_spl
| ~ sQ80_spl ),
inference(split_clause,[status(thm)],[f16179,f13790,f16223]) ).
fof(f16254,plain,
( ~ sQ4_spl
| c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg)
| c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg) ),
inference(resolution,[status(thm)],[f15813,f6560]) ).
fof(f16257,definition,
( sQ102_spl
<=> c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg) ),
introduced(definition,[new_symbols(definition,[sQ102_spl])],[split_symbol_definition]) ).
fof(f16258,plain,
( ~ sQ102_spl
| c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg) ),
inference(component_clause,[status(thm)],[f16257]) ).
fof(f16260,plain,
( ~ sQ4_spl
| sQ102_spl
| sQ3_spl ),
inference(split_clause,[status(thm)],[f16254,f6554,f16257,f6559]) ).
fof(f16261,plain,
( ~ sQ102_spl
| c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg) ),
inference(resolution,[status(thm)],[f16258,f6410]) ).
fof(f16275,plain,
( ~ sQ102_spl
| sQ3_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f16261,f6765]) ).
fof(f16276,plain,
( ~ sQ102_spl
| sQ3_spl ),
inference(contradiction_clause,[status(thm)],[f16275]) ).
fof(f16277,plain,
$false,
inference(sat_refutation,[status(thm)],[f6549,f6557,f6562,f6563,f6567,f7917,f7920,f8676,f9014,f9161,f11874,f12065,f12347,f12532,f12545,f12569,f13675,f13719,f15444,f15500,f16221,f16234,f16238,f16260,f16276]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV315-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.37 % Computer : n003.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Mon Sep 21 08:41:47 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.22/0.50 % Drodi V4.1.1
% 172.17/22.27 % Refutation found
% 172.17/22.27 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 172.17/22.27 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 62.21/23.64 % Elapsed time: 23.050894 seconds
% 62.21/23.64 % CPU time: 170.915329 seconds
% 62.21/23.64 % Total memory used: 1.268 GB
% 62.21/23.64 % Net memory used: 1.199 GB
%------------------------------------------------------------------------------