%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SWV761-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n014.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 02:59:53 PM UTC 2026
% Result : Unsatisfiable 161.75s 24.11s
% Output : CNFRefutation 161.75s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 22
% Syntax : Number of clauses : 84 ( 43 unt; 15 nHn; 60 RR)
% Number of literals : 146 ( 26 equ; 62 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 33 ( 33 usr; 17 con; 0-3 aty)
% Number of variables : 152 ( 42 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_mem__def_0,axiom,
( ~ hBOOL(c_in(X2,X1,X3))
| hBOOL(hAPP(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_mem__def_0) ).
cnf(cls_Fake__parts__insert__in__Un_0,axiom,
( ~ hBOOL(c_in(X1,c_Message_Oparts(c_Set_Oinsert(X3,X2,tc_Message_Omsg)),tc_Message_Omsg))
| ~ hBOOL(c_in(X3,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg))
| hBOOL(c_in(X1,c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(c_Message_Oanalz(X2)),c_Message_Oparts(X2),tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Fake__parts__insert__in__Un_0) ).
cnf(cls_conjecture_4,negated_conjecture,
hBOOL(c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_NB)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_OSays(c_Message_Oagent_OSpy,v_Ba,v_Xa),v_evsf,tc_Event_Oevent))),tc_Message_Omsg)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_4) ).
cnf(cls_Un__commute_0,axiom,
c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(X2,X1,tc_fun(X3,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__commute_0) ).
cnf(cls_parts__synth_0,axiom,
c_Message_Oparts(c_Message_Osynth(X1)) = c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(X1),c_Message_Osynth(X1),tc_fun(tc_Message_Omsg,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_parts__synth_0) ).
cnf(cls_parts__analz_0,axiom,
c_Message_Oparts(c_Message_Oanalz(X1)) = c_Message_Oparts(X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_parts__analz_0) ).
cnf(cls_mem__def_1,axiom,
( ~ hBOOL(hAPP(X2,X1))
| hBOOL(c_in(X1,X2,X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_mem__def_1) ).
cnf(cls_knows__Spy__Says_0,axiom,
c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_OSays(X1,X2,X3),X4,tc_Event_Oevent)) = c_Set_Oinsert(X3,c_Event_Oknows(c_Message_Oagent_OSpy,X4),tc_Message_Omsg),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_knows__Spy__Says_0) ).
cnf(cls_conjecture_1,negated_conjecture,
hBOOL(c_in(v_Xa,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',cls_conjecture_1) ).
cnf(cls_sup1E_0,axiom,
( ~ hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X3,X1,tc_fun(X4,tc_bool)),X2))
| hBOOL(hAPP(X3,X2))
| hBOOL(hAPP(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_sup1E_0) ).
cnf(cls_conjecture_2,negated_conjecture,
~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_OSays(c_Message_Oagent_OSpy,v_Ba,v_Xa),v_evsf,tc_Event_Oevent))),tc_Message_Omsg)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
cnf(cls_conjecture_5,negated_conjecture,
~ hBOOL(c_in(c_Event_Oevent_OSays(X1,v_B,v_X),c_List_Oset(c_List_Olist_OCons(c_Event_Oevent_OSays(c_Message_Oagent_OSpy,v_Ba,v_Xa),v_evsf,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_5) ).
cnf(cls_analz__insertI_0,axiom,
( ~ hBOOL(c_in(X1,c_Message_Oanalz(X3),tc_Message_Omsg))
| hBOOL(c_in(X1,c_Message_Oanalz(c_Set_Oinsert(X2,X3,tc_Message_Omsg)),tc_Message_Omsg)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_analz__insertI_0) ).
cnf(cls_not__parts__not__analz_0,axiom,
( ~ hBOOL(c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg))
| hBOOL(c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_not__parts__not__analz_0) ).
cnf(cls_List_Oset_Osimps_I2_J_0,axiom,
c_List_Oset(c_List_Olist_OCons(X1,X2,X3),X3) = c_Set_Oinsert(X1,c_List_Oset(X2,X3),X3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Oset_Osimps_I2_J_0) ).
cnf(cls_insert__iff_2,axiom,
( ~ hBOOL(c_in(X1,X3,X4))
| hBOOL(c_in(X1,c_Set_Oinsert(X2,X3,X4),X4)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__iff_2) ).
cnf(cls_Crypt__synth_1,axiom,
( ~ hBOOL(c_in(c_Message_Omsg_OCrypt(X1,X3),c_Message_Osynth(X2),tc_Message_Omsg))
| hBOOL(c_in(c_Message_Omsg_OCrypt(X1,X3),X2,tc_Message_Omsg))
| hBOOL(c_in(hAPP(c_Message_Omsg_OKey,X1),X2,tc_Message_Omsg)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Crypt__synth_1) ).
cnf(cls_conjecture_6,negated_conjecture,
( ~ hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),v_X))))),c_List_Oset(v_evsf,tc_Event_Oevent),tc_Event_Oevent))
| ~ hBOOL(c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_NB)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg))
| hBOOL(c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg))
| hBOOL(c_in(c_Event_Oevent_OSays(v_x,v_B,v_X),c_List_Oset(v_evsf,tc_Event_Oevent),tc_Event_Oevent)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_6) ).
cnf(cls_insertE_0,axiom,
( ~ hBOOL(c_in(X1,c_Set_Oinsert(X4,X2,X3),X3))
| X1 = X4
| hBOOL(c_in(X1,X2,X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insertE_0) ).
cnf(cls_conjecture_3,negated_conjecture,
hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),v_X))))),c_List_Oset(c_List_Olist_OCons(c_Event_Oevent_OSays(c_Message_Oagent_OSpy,v_Ba,v_Xa),v_evsf,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).
cnf(cls_event_Osimps_I1_J_0,axiom,
( c_Event_Oevent_OSays(X1,X2,X3) != c_Event_Oevent_OSays(X4,X5,X6)
| X1 = X4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_event_Osimps_I1_J_0) ).
cnf(cls_agent_Osimps_I4_J_0,axiom,
c_Message_Oagent_OServer != c_Message_Oagent_OSpy,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_agent_Osimps_I4_J_0) ).
cnf(c_0_22,plain,
( ~ hBOOL(c_in(X2,X1,X3))
| hBOOL(hAPP(X1,X2)) ),
inference(fof_simplification,[status(thm)],[cls_mem__def_0]) ).
cnf(c_0_23,plain,
( ~ hBOOL(c_in(X1,c_Message_Oparts(c_Set_Oinsert(X3,X2,tc_Message_Omsg)),tc_Message_Omsg))
| ~ hBOOL(c_in(X3,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg))
| hBOOL(c_in(X1,c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(c_Message_Oanalz(X2)),c_Message_Oparts(X2),tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)) ),
inference(fof_simplification,[status(thm)],[cls_Fake__parts__insert__in__Un_0]) ).
cnf(c_0_24,plain,
( ~ hBOOL(c_in(X2,X1,X3))
| hBOOL(hAPP(X1,X2)) ),
c_0_22 ).
cnf(c_0_25,negated_conjecture,
hBOOL(c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_NB)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_OSays(c_Message_Oagent_OSpy,v_Ba,v_Xa),v_evsf,tc_Event_Oevent))),tc_Message_Omsg)),
cls_conjecture_4 ).
cnf(c_0_26,plain,
( ~ hBOOL(c_in(X1,c_Message_Oparts(c_Set_Oinsert(X3,X2,tc_Message_Omsg)),tc_Message_Omsg))
| ~ hBOOL(c_in(X3,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg))
| hBOOL(c_in(X1,c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(c_Message_Oanalz(X2)),c_Message_Oparts(X2),tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)) ),
c_0_23 ).
cnf(c_0_27,axiom,
c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(X2,X1,tc_fun(X3,tc_bool)),
cls_Un__commute_0 ).
cnf(c_0_28,axiom,
c_Message_Oparts(c_Message_Osynth(X1)) = c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(X1),c_Message_Osynth(X1),tc_fun(tc_Message_Omsg,tc_bool)),
cls_parts__synth_0 ).
cnf(c_0_29,axiom,
c_Message_Oparts(c_Message_Oanalz(X1)) = c_Message_Oparts(X1),
cls_parts__analz_0 ).
cnf(c_0_30,plain,
( ~ hBOOL(hAPP(X2,X1))
| hBOOL(c_in(X1,X2,X3)) ),
inference(fof_simplification,[status(thm)],[cls_mem__def_1]) ).
cnf(c_0_31,negated_conjecture,
hBOOL(hAPP(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_OSays(c_Message_Oagent_OSpy,v_Ba,v_Xa),v_evsf,tc_Event_Oevent))),c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_NB)))),
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_32,axiom,
c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_OSays(X1,X2,X3),X4,tc_Event_Oevent)) = c_Set_Oinsert(X3,c_Event_Oknows(c_Message_Oagent_OSpy,X4),tc_Message_Omsg),
cls_knows__Spy__Says_0 ).
cnf(c_0_33,negated_conjecture,
hBOOL(c_in(v_Xa,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg)),
cls_conjecture_1 ).
cnf(c_0_34,plain,
( ~ hBOOL(c_in(X3,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg))
| ~ hBOOL(c_in(X1,c_Message_Oparts(c_Set_Oinsert(X3,X2,tc_Message_Omsg)),tc_Message_Omsg))
| hBOOL(c_in(X1,c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(X2),c_Message_Osynth(c_Message_Oanalz(X2)),tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)) ),
inference(rw,[status(thm)],[c_0_26,c_0_27]) ).
cnf(c_0_35,plain,
c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(X1),c_Message_Osynth(c_Message_Oanalz(X1)),tc_fun(tc_Message_Omsg,tc_bool)) = c_Message_Oparts(c_Message_Osynth(c_Message_Oanalz(X1))),
inference(spm,[status(thm)],[c_0_28,c_0_29]) ).
cnf(c_0_36,plain,
( ~ hBOOL(hAPP(X2,X1))
| hBOOL(c_in(X1,X2,X3)) ),
c_0_30 ).
cnf(c_0_37,negated_conjecture,
hBOOL(hAPP(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_NB)))),
inference(spm,[status(thm)],[c_0_31,c_0_32]) ).
cnf(c_0_38,negated_conjecture,
hBOOL(hAPP(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),v_Xa)),
inference(spm,[status(thm)],[c_0_24,c_0_33]) ).
cnf(c_0_39,plain,
( ~ hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X3,X1,tc_fun(X4,tc_bool)),X2))
| hBOOL(hAPP(X3,X2))
| hBOOL(hAPP(X1,X2)) ),
inference(fof_simplification,[status(thm)],[cls_sup1E_0]) ).
cnf(c_0_40,plain,
( ~ hBOOL(c_in(X3,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg))
| ~ hBOOL(c_in(X1,c_Message_Oparts(c_Set_Oinsert(X3,X2,tc_Message_Omsg)),tc_Message_Omsg))
| hBOOL(c_in(X1,c_Message_Oparts(c_Message_Osynth(c_Message_Oanalz(X2))),tc_Message_Omsg)) ),
inference(rw,[status(thm)],[c_0_34,c_0_35]) ).
cnf(c_0_41,negated_conjecture,
hBOOL(c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_NB)),c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),X1)),
inference(spm,[status(thm)],[c_0_36,c_0_37]) ).
cnf(c_0_42,negated_conjecture,
hBOOL(c_in(v_Xa,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),X1)),
inference(spm,[status(thm)],[c_0_36,c_0_38]) ).
cnf(c_0_43,plain,
( ~ hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X3,X1,tc_fun(X4,tc_bool)),X2))
| hBOOL(hAPP(X3,X2))
| hBOOL(hAPP(X1,X2)) ),
c_0_39 ).
cnf(c_0_44,negated_conjecture,
hBOOL(c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_NB)),c_Message_Oparts(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)))),tc_Message_Omsg)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_41]),c_0_42])]) ).
cnf(c_0_45,negated_conjecture,
~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_OSays(c_Message_Oagent_OSpy,v_Ba,v_Xa),v_evsf,tc_Event_Oevent))),tc_Message_Omsg)),
inference(fof_simplification,[status(thm)],[cls_conjecture_2]) ).
cnf(c_0_46,negated_conjecture,
~ hBOOL(c_in(c_Event_Oevent_OSays(X1,v_B,v_X),c_List_Oset(c_List_Olist_OCons(c_Event_Oevent_OSays(c_Message_Oagent_OSpy,v_Ba,v_Xa),v_evsf,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),
inference(fof_simplification,[status(thm)],[cls_conjecture_5]) ).
cnf(c_0_47,plain,
( ~ hBOOL(hAPP(c_Message_Oparts(c_Message_Osynth(X1)),X2))
| hBOOL(hAPP(c_Message_Oparts(X1),X2))
| hBOOL(hAPP(c_Message_Osynth(X1),X2)) ),
inference(spm,[status(thm)],[c_0_43,c_0_28]) ).
cnf(c_0_48,negated_conjecture,
hBOOL(hAPP(c_Message_Oparts(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)))),c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_NB)))),
inference(spm,[status(thm)],[c_0_24,c_0_44]) ).
cnf(c_0_49,negated_conjecture,
~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_OSays(c_Message_Oagent_OSpy,v_Ba,v_Xa),v_evsf,tc_Event_Oevent))),tc_Message_Omsg)),
c_0_45 ).
cnf(c_0_50,plain,
( ~ hBOOL(c_in(X1,c_Message_Oanalz(X3),tc_Message_Omsg))
| hBOOL(c_in(X1,c_Message_Oanalz(c_Set_Oinsert(X2,X3,tc_Message_Omsg)),tc_Message_Omsg)) ),
inference(fof_simplification,[status(thm)],[cls_analz__insertI_0]) ).
cnf(c_0_51,plain,
( ~ hBOOL(c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg))
| hBOOL(c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg)) ),
inference(fof_simplification,[status(thm)],[cls_not__parts__not__analz_0]) ).
cnf(c_0_52,negated_conjecture,
~ hBOOL(c_in(c_Event_Oevent_OSays(X1,v_B,v_X),c_List_Oset(c_List_Olist_OCons(c_Event_Oevent_OSays(c_Message_Oagent_OSpy,v_Ba,v_Xa),v_evsf,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),
c_0_46 ).
cnf(c_0_53,axiom,
c_List_Oset(c_List_Olist_OCons(X1,X2,X3),X3) = c_Set_Oinsert(X1,c_List_Oset(X2,X3),X3),
cls_List_Oset_Osimps_I2_J_0 ).
cnf(c_0_54,plain,
( ~ hBOOL(c_in(X1,X3,X4))
| hBOOL(c_in(X1,c_Set_Oinsert(X2,X3,X4),X4)) ),
inference(fof_simplification,[status(thm)],[cls_insert__iff_2]) ).
cnf(c_0_55,plain,
( ~ hBOOL(c_in(c_Message_Omsg_OCrypt(X1,X3),c_Message_Osynth(X2),tc_Message_Omsg))
| hBOOL(c_in(c_Message_Omsg_OCrypt(X1,X3),X2,tc_Message_Omsg))
| hBOOL(c_in(hAPP(c_Message_Omsg_OKey,X1),X2,tc_Message_Omsg)) ),
inference(fof_simplification,[status(thm)],[cls_Crypt__synth_1]) ).
cnf(c_0_56,negated_conjecture,
( hBOOL(hAPP(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_NB))))
| hBOOL(hAPP(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_NB)))) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_48]),c_0_29]) ).
cnf(c_0_57,negated_conjecture,
~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oanalz(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),tc_Message_Omsg)),
inference(spm,[status(thm)],[c_0_49,c_0_32]) ).
cnf(c_0_58,plain,
( ~ hBOOL(c_in(X1,c_Message_Oanalz(X3),tc_Message_Omsg))
| hBOOL(c_in(X1,c_Message_Oanalz(c_Set_Oinsert(X2,X3,tc_Message_Omsg)),tc_Message_Omsg)) ),
c_0_50 ).
cnf(c_0_59,plain,
( ~ hBOOL(c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg))
| hBOOL(c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg)) ),
c_0_51 ).
cnf(c_0_60,negated_conjecture,
( ~ hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),v_X))))),c_List_Oset(v_evsf,tc_Event_Oevent),tc_Event_Oevent))
| ~ hBOOL(c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_NB)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg))
| hBOOL(c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg))
| hBOOL(c_in(c_Event_Oevent_OSays(v_x,v_B,v_X),c_List_Oset(v_evsf,tc_Event_Oevent),tc_Event_Oevent)) ),
inference(fof_simplification,[status(thm)],[cls_conjecture_6]) ).
cnf(c_0_61,negated_conjecture,
~ hBOOL(c_in(c_Event_Oevent_OSays(X1,v_B,v_X),c_Set_Oinsert(c_Event_Oevent_OSays(c_Message_Oagent_OSpy,v_Ba,v_Xa),c_List_Oset(v_evsf,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),
inference(rw,[status(thm)],[c_0_52,c_0_53]) ).
cnf(c_0_62,plain,
( ~ hBOOL(c_in(X1,X3,X4))
| hBOOL(c_in(X1,c_Set_Oinsert(X2,X3,X4),X4)) ),
c_0_54 ).
cnf(c_0_63,plain,
( ~ hBOOL(c_in(c_Message_Omsg_OCrypt(X1,X3),c_Message_Osynth(X2),tc_Message_Omsg))
| hBOOL(c_in(c_Message_Omsg_OCrypt(X1,X3),X2,tc_Message_Omsg))
| hBOOL(c_in(hAPP(c_Message_Omsg_OKey,X1),X2,tc_Message_Omsg)) ),
c_0_55 ).
cnf(c_0_64,negated_conjecture,
( hBOOL(hAPP(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_NB))))
| hBOOL(c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_NB)),c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),X1)) ),
inference(spm,[status(thm)],[c_0_36,c_0_56]) ).
cnf(c_0_65,negated_conjecture,
~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg)),
inference(spm,[status(thm)],[c_0_57,c_0_58]) ).
cnf(c_0_66,plain,
( ~ hBOOL(c_in(X2,c_Message_Oanalz(X1),tc_Message_Omsg))
| hBOOL(hAPP(c_Message_Oparts(X1),X2)) ),
inference(spm,[status(thm)],[c_0_24,c_0_59]) ).
cnf(c_0_67,negated_conjecture,
( ~ hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),v_X))))),c_List_Oset(v_evsf,tc_Event_Oevent),tc_Event_Oevent))
| ~ hBOOL(c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_NB)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg))
| hBOOL(c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg))
| hBOOL(c_in(c_Event_Oevent_OSays(v_x,v_B,v_X),c_List_Oset(v_evsf,tc_Event_Oevent),tc_Event_Oevent)) ),
c_0_60 ).
cnf(c_0_68,negated_conjecture,
~ hBOOL(c_in(c_Event_Oevent_OSays(X1,v_B,v_X),c_List_Oset(v_evsf,tc_Event_Oevent),tc_Event_Oevent)),
inference(spm,[status(thm)],[c_0_61,c_0_62]) ).
cnf(c_0_69,negated_conjecture,
hBOOL(hAPP(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_NB)))),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_64]),c_0_65]),c_0_66]) ).
cnf(c_0_70,plain,
( ~ hBOOL(c_in(X1,c_Set_Oinsert(X4,X2,X3),X3))
| X1 = X4
| hBOOL(c_in(X1,X2,X3)) ),
inference(fof_simplification,[status(thm)],[cls_insertE_0]) ).
cnf(c_0_71,negated_conjecture,
hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),v_X))))),c_List_Oset(c_List_Olist_OCons(c_Event_Oevent_OSays(c_Message_Oagent_OSpy,v_Ba,v_Xa),v_evsf,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),
cls_conjecture_3 ).
cnf(c_0_72,negated_conjecture,
( ~ hBOOL(c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_NB)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg))
| ~ hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),v_X))))),c_List_Oset(v_evsf,tc_Event_Oevent),tc_Event_Oevent)) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_67,c_0_68]),c_0_65]) ).
cnf(c_0_73,negated_conjecture,
hBOOL(c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_NB)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),X1)),
inference(spm,[status(thm)],[c_0_36,c_0_69]) ).
cnf(c_0_74,plain,
( c_Event_Oevent_OSays(X1,X2,X3) != c_Event_Oevent_OSays(X4,X5,X6)
| X1 = X4 ),
inference(fof_simplification,[status(thm)],[cls_event_Osimps_I1_J_0]) ).
cnf(c_0_75,plain,
( ~ hBOOL(c_in(X1,c_Set_Oinsert(X4,X2,X3),X3))
| X1 = X4
| hBOOL(c_in(X1,X2,X3)) ),
c_0_70 ).
cnf(c_0_76,negated_conjecture,
hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),v_X))))),c_Set_Oinsert(c_Event_Oevent_OSays(c_Message_Oagent_OSpy,v_Ba,v_Xa),c_List_Oset(v_evsf,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),
inference(rw,[status(thm)],[c_0_71,c_0_53]) ).
cnf(c_0_77,negated_conjecture,
~ hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),v_X))))),c_List_Oset(v_evsf,tc_Event_Oevent),tc_Event_Oevent)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_72,c_0_73])]) ).
cnf(c_0_78,plain,
( c_Event_Oevent_OSays(X1,X2,X3) != c_Event_Oevent_OSays(X4,X5,X6)
| X1 = X4 ),
c_0_74 ).
cnf(c_0_79,negated_conjecture,
c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),v_X))))) = c_Event_Oevent_OSays(c_Message_Oagent_OSpy,v_Ba,v_Xa),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_76]),c_0_77]) ).
cnf(c_0_80,plain,
c_Message_Oagent_OServer != c_Message_Oagent_OSpy,
inference(fof_simplification,[status(thm)],[cls_agent_Osimps_I4_J_0]) ).
cnf(c_0_81,negated_conjecture,
( c_Event_Oevent_OSays(c_Message_Oagent_OSpy,v_Ba,v_Xa) != c_Event_Oevent_OSays(X1,X2,X3)
| c_Message_Oagent_OServer = X1 ),
inference(spm,[status(thm)],[c_0_78,c_0_79]) ).
cnf(c_0_82,plain,
c_Message_Oagent_OServer != c_Message_Oagent_OSpy,
c_0_80 ).
cnf(c_0_83,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(er,[status(thm)],[c_0_81]),c_0_82]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SWV761-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.07 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.16/0.46 % Computer : n014.cluster.edu
% 0.16/0.46 % Model : x86_64 x86_64
% 0.16/0.46 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.46 % Memory : 8046.5625MB
% 0.16/0.46 % OS : Linux 6.8.0-71-generic
% 0.16/0.46 % CPULimit : 300
% 0.16/0.46 % WCLimit : 300
% 0.16/0.46 % DateTime : Mon Sep 21 09:23:49 UTC 2026
% 0.16/0.47 % CPUTime :
% 0.16/0.47 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.21/0.55 Running first-order theorem proving
% 0.21/0.55 Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 161.75/24.11 % Version: 3.5.1
% 161.75/24.11 % Preprocessing class: FSLSSMSMSSSNFFN.
% 161.75/24.11 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 161.75/24.11 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 161.75/24.11 % Starting new_bool_3 with 300s (1) cores
% 161.75/24.11 % Starting new_bool_1 with 300s (1) cores
% 161.75/24.11 % Starting sh5l with 300s (1) cores
% 161.75/24.11 % C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 3727667 completed with status 0
% 161.75/24.11 % Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 161.75/24.11 % Preprocessing class: FSLSSMSMSSSNFFN.
% 161.75/24.11 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 161.75/24.11 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 161.75/24.11 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 161.75/24.11 % No SInE strategy applied
% 161.75/24.11 % Search class: FGHSM-FSLM32-DFFFFFNN
% 161.75/24.11 % Scheduled 13 strats onto 5 cores with 1500 seconds (1500 total)
% 161.75/24.11 % Starting SubtermCWHack with 136s (1) cores
% 161.75/24.11 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 161.75/24.11 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 113s (1) cores
% 161.75/24.11 % Starting G-E--_300_C18_F1_SE_CS_SP_PS_S0Y with 113s (1) cores
% 161.75/24.11 % Starting U----_206c_05_B11_00_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with 113s (1) cores
% 161.75/24.11 % G-E--_300_C18_F1_SE_CS_SP_PS_S0Y with pid 3727676 completed with status 0
% 161.75/24.11 % Result found by G-E--_300_C18_F1_SE_CS_SP_PS_S0Y
% 161.75/24.11 % Preprocessing class: FSLSSMSMSSSNFFN.
% 161.75/24.11 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 161.75/24.11 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 161.75/24.11 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 161.75/24.11 % No SInE strategy applied
% 161.75/24.11 % Search class: FGHSM-FSLM32-DFFFFFNN
% 161.75/24.11 % Scheduled 13 strats onto 5 cores with 1500 seconds (1500 total)
% 161.75/24.11 % Starting SubtermCWHack with 136s (1) cores
% 161.75/24.11 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 161.75/24.11 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 113s (1) cores
% 161.75/24.11 % Starting G-E--_300_C18_F1_SE_CS_SP_PS_S0Y with 113s (1) cores
% 161.75/24.11 % Preprocessing time : 0.014 s
% 161.75/24.11 % Presaturation interreduction done
% 161.75/24.11
% 161.75/24.11 % Proof found!
% 161.75/24.11 % SZS status Unsatisfiable
% 161.75/24.11 % SZS output start CNFRefutation
% See solution above
% 161.75/24.11 % Parsed axioms : 557
% 161.75/24.11 % Removed by relevancy pruning/SinE : 0
% 161.75/24.11 % Initial clauses : 557
% 161.75/24.11 % Removed in clause preprocessing : 4
% 161.75/24.11 % Initial clauses in saturation : 553
% 161.75/24.11 % Processed clauses : 46951
% 161.75/24.11 % ...of these trivial : 17088
% 161.75/24.11 % ...subsumed : 16358
% 161.75/24.11 % ...remaining for further processing : 13505
% 161.75/24.11 % Other redundant clauses eliminated : 93
% 161.75/24.11 % Clauses deleted for lack of memory : 0
% 161.75/24.11 % Backward-subsumed : 652
% 161.75/24.11 % Backward-rewritten : 2924
% 161.75/24.11 % Generated clauses : 861683
% 161.75/24.11 % ...of the previous two non-redundant : 593264
% 161.75/24.11 % ...aggressively subsumed : 0
% 161.75/24.11 % Contextual simplify-reflections : 20
% 161.75/24.11 % Paramodulations : 861539
% 161.75/24.11 % Factorizations : 16
% 161.75/24.11 % NegExts : 0
% 161.75/24.11 % Equation resolutions : 128
% 161.75/24.11 % Disequality decompositions : 0
% 161.75/24.11 % Total rewrite steps : 1038830
% 161.75/24.11 % ...of those cached : 910809
% 161.75/24.11 % Propositional unsat checks : 0
% 161.75/24.11 % Propositional check models : 0
% 161.75/24.11 % Propositional check unsatisfiable : 0
% 161.75/24.11 % Propositional clauses : 0
% 161.75/24.11 % Propositional clauses after purity: 0
% 161.75/24.11 % Propositional unsat core size : 0
% 161.75/24.11 % Propositional preprocessing time : 0.000
% 161.75/24.11 % Propositional encoding time : 0.000
% 161.75/24.11 % Propositional solver time : 0.000
% 161.75/24.11 % Success case prop preproc time : 0.000
% 161.75/24.11 % Success case prop encoding time : 0.000
% 161.75/24.11 % Success case prop solver time : 0.000
% 161.75/24.11 % Current number of processed clauses : 9508
% 161.75/24.11 % Positive orientable unit clauses : 5883
% 161.75/24.11 % Positive unorientable unit clauses: 28
% 161.75/24.11 % Negative unit clauses : 530
% 161.75/24.11 % Non-unit-clauses : 3067
% 161.75/24.11 % Current number of unprocessed clauses: 538703
% 161.75/24.11 % ...number of literals in the above : 893380
% 161.75/24.11 % Current number of archived formulas : 0
% 161.75/24.11 % Current number of archived clauses : 3999
% 161.75/24.11 % Clause-clause subsumption calls (NU) : 3379084
% 161.75/24.11 % Rec. Clause-clause subsumption calls : 2042581
% 161.75/24.11 % Non-unit clause-clause subsumptions : 13559
% 161.75/24.11 % Unit Clause-clause subsumption calls : 125707
% 161.75/24.11 % Rewrite failures with RHS unbound : 0
% 161.75/24.11 % BW rewrite match attempts : 1766041
% 161.75/24.11 % BW rewrite match successes : 3033
% 161.75/24.11 % Condensation attempts : 0
% 161.75/24.11 % Condensation successes : 0
% 161.75/24.11 % Termbank termtop insertions : 18254354
% 161.75/24.11 % Search garbage collected termcells : 999
% 161.75/24.11
% 161.75/24.11 % -------------------------------------------------
% 161.75/24.11 % User time : 22.099 s
% 161.75/24.11 % System time : 0.753 s
% 161.75/24.11 % Total time : 22.852 s
% 161.75/24.11 % Maximum resident set size: 4368 pages
% 161.75/24.11
% 161.75/24.11 % -------------------------------------------------
% 161.75/24.11 % User time : 111.297 s
% 161.75/24.11 % System time : 3.743 s
% 161.75/24.11 % Total time : 115.039 s
% 161.75/24.11 % Maximum resident set size: 5120 pages
% 161.75/24.11 % E exiting
%------------------------------------------------------------------------------