%------------------------------------------------------------------------------
% File : E-SAT---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 : n007.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 03:06:50 PM UTC 2026
% Result : Unsatisfiable 211.08s 46.14s
% Output : CNFRefutation 211.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 23
% Syntax : Number of clauses : 90 ( 45 unt; 15 nHn; 66 RR)
% Number of literals : 156 ( 36 equ; 66 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 : 173 ( 56 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_1,axiom,
( c_Event_Oevent_OSays(X1,X2,X3) != c_Event_Oevent_OSays(X4,X5,X6)
| X2 = X5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_event_Osimps_I1_J_1) ).
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_23,plain,
( ~ hBOOL(c_in(X2,X1,X3))
| hBOOL(hAPP(X1,X2)) ),
inference(fof_simplification,[status(thm)],[cls_mem__def_0]) ).
cnf(c_0_24,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_25,plain,
( ~ hBOOL(c_in(X2,X1,X3))
| hBOOL(hAPP(X1,X2)) ),
c_0_23 ).
cnf(c_0_26,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_27,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_24 ).
cnf(c_0_28,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_29,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_30,axiom,
c_Message_Oparts(c_Message_Oanalz(X1)) = c_Message_Oparts(X1),
cls_parts__analz_0 ).
cnf(c_0_31,plain,
( ~ hBOOL(hAPP(X2,X1))
| hBOOL(c_in(X1,X2,X3)) ),
inference(fof_simplification,[status(thm)],[cls_mem__def_1]) ).
cnf(c_0_32,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_25,c_0_26]) ).
cnf(c_0_33,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_34,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_35,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_27,c_0_28]) ).
cnf(c_0_36,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_29,c_0_30]) ).
cnf(c_0_37,plain,
( ~ hBOOL(hAPP(X2,X1))
| hBOOL(c_in(X1,X2,X3)) ),
c_0_31 ).
cnf(c_0_38,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_32,c_0_33]) ).
cnf(c_0_39,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_25,c_0_34]) ).
cnf(c_0_40,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_41,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_35,c_0_36]) ).
cnf(c_0_42,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_37,c_0_38]) ).
cnf(c_0_43,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_37,c_0_39]) ).
cnf(c_0_44,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_40 ).
cnf(c_0_45,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_41,c_0_42]),c_0_43])]) ).
cnf(c_0_46,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_47,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_48,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_44,c_0_29]) ).
cnf(c_0_49,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_25,c_0_45]) ).
cnf(c_0_50,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_46 ).
cnf(c_0_51,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_52,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_53,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_47 ).
cnf(c_0_54,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_55,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_56,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_57,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_48,c_0_49]),c_0_30]) ).
cnf(c_0_58,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_50,c_0_33]) ).
cnf(c_0_59,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_51 ).
cnf(c_0_60,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_52 ).
cnf(c_0_61,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_62,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_53,c_0_54]) ).
cnf(c_0_63,plain,
( ~ hBOOL(c_in(X1,X3,X4))
| hBOOL(c_in(X1,c_Set_Oinsert(X2,X3,X4),X4)) ),
c_0_55 ).
cnf(c_0_64,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_56 ).
cnf(c_0_65,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_37,c_0_57]) ).
cnf(c_0_66,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_58,c_0_59]) ).
cnf(c_0_67,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_25,c_0_60]) ).
cnf(c_0_68,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_61 ).
cnf(c_0_69,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_62,c_0_63]) ).
cnf(c_0_70,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_64,c_0_65]),c_0_66]),c_0_67]) ).
cnf(c_0_71,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_72,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_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)),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_68,c_0_69]),c_0_66]) ).
cnf(c_0_74,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_37,c_0_70]) ).
cnf(c_0_75,plain,
( c_Event_Oevent_OSays(X1,X2,X3) != c_Event_Oevent_OSays(X4,X5,X6)
| X2 = X5 ),
inference(fof_simplification,[status(thm)],[cls_event_Osimps_I1_J_1]) ).
cnf(c_0_76,plain,
( ~ hBOOL(c_in(X1,c_Set_Oinsert(X4,X2,X3),X3))
| X1 = X4
| hBOOL(c_in(X1,X2,X3)) ),
c_0_71 ).
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_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_72,c_0_54]) ).
cnf(c_0_78,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_73,c_0_74])]) ).
cnf(c_0_79,plain,
( c_Event_Oevent_OSays(X1,X2,X3) != c_Event_Oevent_OSays(X4,X5,X6)
| X2 = X5 ),
c_0_75 ).
cnf(c_0_80,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_76,c_0_77]),c_0_78]) ).
cnf(c_0_81,negated_conjecture,
( c_Event_Oevent_OSays(X2,X1,X3) != c_Event_Oevent_OSays(c_Message_Oagent_OSpy,v_Ba,v_Xa)
| X1 = v_A ),
inference(spm,[status(thm)],[c_0_79,c_0_80]) ).
cnf(c_0_82,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_83,negated_conjecture,
v_A = v_Ba,
inference(er,[status(thm)],[c_0_81]) ).
cnf(c_0_84,plain,
( c_Event_Oevent_OSays(X1,X2,X3) != c_Event_Oevent_OSays(X4,X5,X6)
| X1 = X4 ),
c_0_82 ).
cnf(c_0_85,negated_conjecture,
c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_Ba,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_Ba),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(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_80,c_0_83]),c_0_83]) ).
cnf(c_0_86,plain,
c_Message_Oagent_OServer != c_Message_Oagent_OSpy,
inference(fof_simplification,[status(thm)],[cls_agent_Osimps_I4_J_0]) ).
cnf(c_0_87,negated_conjecture,
( c_Event_Oevent_OSays(X1,X2,X3) != c_Event_Oevent_OSays(c_Message_Oagent_OSpy,v_Ba,v_Xa)
| X1 = c_Message_Oagent_OServer ),
inference(spm,[status(thm)],[c_0_84,c_0_85]) ).
cnf(c_0_88,plain,
c_Message_Oagent_OServer != c_Message_Oagent_OSpy,
c_0_86 ).
cnf(c_0_89,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(er,[status(thm)],[c_0_87]),c_0_88]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV761-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/15.42 % Computer : n007.cluster.edu
% 0.13/15.42 % Model : x86_64 x86_64
% 0.13/15.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/15.42 % Memory : 8046.5625MB
% 0.13/15.42 % OS : Linux 6.8.0-71-generic
% 0.13/15.42 % CPULimit : 300
% 0.13/15.42 % WCLimit : 300
% 0.13/15.42 % DateTime : Mon Sep 21 09:22:06 UTC 2026
% 0.13/15.42 % CPUTime :
% 0.13/15.42 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/15.47 Running first-order theorem proving
% 0.13/15.47 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
% 211.08/46.14 % Version: 3.5.1
% 211.08/46.14 % Preprocessing class: FSLSSMSMSSSNFFN.
% 211.08/46.14 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 211.08/46.14 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 211.08/46.14 % Starting new_bool_3 with 300s (1) cores
% 211.08/46.14 % Starting new_bool_1 with 300s (1) cores
% 211.08/46.14 % Starting sh5l with 300s (1) cores
% 211.08/46.14 % C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 739190 completed with status 0
% 211.08/46.14 % Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 211.08/46.14 % Preprocessing class: FSLSSMSMSSSNFFN.
% 211.08/46.14 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 211.08/46.14 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 211.08/46.14 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 211.08/46.14 % No SInE strategy applied
% 211.08/46.14 % Search class: FGHSM-FSLM32-DFFFFFNN
% 211.08/46.14 % Scheduled 13 strats onto 5 cores with 1500 seconds (1500 total)
% 211.08/46.14 % Starting SubtermCWHack with 136s (1) cores
% 211.08/46.14 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 211.08/46.14 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 113s (1) cores
% 211.08/46.14 % Starting G-E--_300_C18_F1_SE_CS_SP_PS_S0Y with 113s (1) cores
% 211.08/46.14 % Starting U----_206c_05_B11_00_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with 113s (1) cores
% 211.08/46.14 % G-E--_300_C18_F1_SE_CS_SP_PS_S0Y with pid 739199 completed with status 0
% 211.08/46.14 % Result found by G-E--_300_C18_F1_SE_CS_SP_PS_S0Y
% 211.08/46.14 % Preprocessing class: FSLSSMSMSSSNFFN.
% 211.08/46.14 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 211.08/46.14 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 211.08/46.14 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 211.08/46.14 % No SInE strategy applied
% 211.08/46.14 % Search class: FGHSM-FSLM32-DFFFFFNN
% 211.08/46.14 % Scheduled 13 strats onto 5 cores with 1500 seconds (1500 total)
% 211.08/46.14 % Starting SubtermCWHack with 136s (1) cores
% 211.08/46.14 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 211.08/46.14 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 113s (1) cores
% 211.08/46.14 % Starting G-E--_300_C18_F1_SE_CS_SP_PS_S0Y with 113s (1) cores
% 211.08/46.14 % Preprocessing time : 0.011 s
% 211.08/46.14 % Presaturation interreduction done
% 211.08/46.14
% 211.08/46.14 % Proof found!
% 211.08/46.14 % SZS status Unsatisfiable
% 211.08/46.14 % SZS output start CNFRefutation
% See solution above
% 211.08/46.14 % Parsed axioms : 557
% 211.08/46.14 % Removed by relevancy pruning/SinE : 0
% 211.08/46.14 % Initial clauses : 557
% 211.08/46.14 % Removed in clause preprocessing : 4
% 211.08/46.14 % Initial clauses in saturation : 553
% 211.08/46.14 % Processed clauses : 46996
% 211.08/46.14 % ...of these trivial : 17111
% 211.08/46.14 % ...subsumed : 16376
% 211.08/46.14 % ...remaining for further processing : 13509
% 211.08/46.14 % Other redundant clauses eliminated : 93
% 211.08/46.14 % Clauses deleted for lack of memory : 0
% 211.08/46.14 % Backward-subsumed : 652
% 211.08/46.14 % Backward-rewritten : 2926
% 211.08/46.14 % Generated clauses : 861984
% 211.08/46.14 % ...of the previous two non-redundant : 593567
% 211.08/46.14 % ...aggressively subsumed : 0
% 211.08/46.14 % Contextual simplify-reflections : 20
% 211.08/46.14 % Paramodulations : 861839
% 211.08/46.14 % Factorizations : 16
% 211.08/46.14 % NegExts : 0
% 211.08/46.14 % Equation resolutions : 129
% 211.08/46.14 % Disequality decompositions : 0
% 211.08/46.14 % Total rewrite steps : 1038876
% 211.08/46.14 % ...of those cached : 910853
% 211.08/46.14 % Propositional unsat checks : 0
% 211.08/46.14 % Propositional check models : 0
% 211.08/46.14 % Propositional check unsatisfiable : 0
% 211.08/46.14 % Propositional clauses : 0
% 211.08/46.14 % Propositional clauses after purity: 0
% 211.08/46.14 % Propositional unsat core size : 0
% 211.08/46.14 % Propositional preprocessing time : 0.000
% 211.08/46.14 % Propositional encoding time : 0.000
% 211.08/46.14 % Propositional solver time : 0.000
% 211.08/46.14 % Success case prop preproc time : 0.000
% 211.08/46.14 % Success case prop encoding time : 0.000
% 211.08/46.14 % Success case prop solver time : 0.000
% 211.08/46.14 % Current number of processed clauses : 9510
% 211.08/46.14 % Positive orientable unit clauses : 5884
% 211.08/46.14 % Positive unorientable unit clauses: 28
% 211.08/46.14 % Negative unit clauses : 531
% 211.08/46.14 % Non-unit-clauses : 3067
% 211.08/46.14 % Current number of unprocessed clauses: 538952
% 211.08/46.14 % ...number of literals in the above : 893845
% 211.08/46.14 % Current number of archived formulas : 0
% 211.08/46.14 % Current number of archived clauses : 4001
% 211.08/46.14 % Clause-clause subsumption calls (NU) : 3375707
% 211.08/46.14 % Rec. Clause-clause subsumption calls : 2039468
% 211.08/46.14 % Non-unit clause-clause subsumptions : 13570
% 211.08/46.14 % Unit Clause-clause subsumption calls : 126357
% 211.08/46.14 % Rewrite failures with RHS unbound : 0
% 211.08/46.14 % BW rewrite match attempts : 1766031
% 211.08/46.14 % BW rewrite match successes : 3034
% 211.08/46.14 % Condensation attempts : 0
% 211.08/46.14 % Condensation successes : 0
% 211.08/46.14 % Termbank termtop insertions : 18263417
% 211.08/46.14 % Search garbage collected termcells : 999
% 211.08/46.14
% 211.08/46.14 % -------------------------------------------------
% 211.08/46.14 % User time : 29.270 s
% 211.08/46.14 % System time : 0.978 s
% 211.08/46.14 % Total time : 30.247 s
% 211.08/46.14 % Maximum resident set size: 4368 pages
% 211.08/46.14
% 211.08/46.14 % -------------------------------------------------
% 211.08/46.14 % User time : 145.237 s
% 211.08/46.14 % System time : 4.708 s
% 211.08/46.14 % Total time : 149.945 s
% 211.08/46.14 % Maximum resident set size: 5120 pages
% 211.08/46.14 % E exiting
%------------------------------------------------------------------------------