TSTP Solution File: SWV767-1 by E---3.1
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- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1
% Problem : SWV767-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n032.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 2400s
% WCLimit : 300s
% DateTime : Tue Oct 10 19:55:18 EDT 2023
% Result : Unsatisfiable 2.82s 0.92s
% Output : CNFRefutation 2.82s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 20
% Syntax : Number of clauses : 55 ( 30 unt; 9 nHn; 42 RR)
% Number of literals : 93 ( 17 equ; 39 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 30 ( 30 usr; 15 con; 0-3 aty)
% Number of variables : 101 ( 27 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_mem__def_0,axiom,
( hBOOL(hAPP(X1,X2))
| ~ c_in(X2,X1,X3) ),
file('/export/starexec/sandbox/tmp/tmp.1cTW9d1cMG/E---3.1_18772.p',cls_mem__def_0) ).
cnf(cls_conjecture_2,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/tmp/tmp.1cTW9d1cMG/E---3.1_18772.p',cls_conjecture_2) ).
cnf(cls_Fake__parts__insert__in__Un_0,axiom,
( 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_in(X3,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg)
| ~ c_in(X1,c_Message_Oparts(c_Set_Oinsert(X3,X2,tc_Message_Omsg)),tc_Message_Omsg) ),
file('/export/starexec/sandbox/tmp/tmp.1cTW9d1cMG/E---3.1_18772.p',cls_Fake__parts__insert__in__Un_0) ).
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/tmp/tmp.1cTW9d1cMG/E---3.1_18772.p',cls_Un__commute_0) ).
cnf(cls_conjecture_5,negated_conjecture,
c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),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_X),v_evsf,tc_Event_Oevent))),tc_Message_Omsg),
file('/export/starexec/sandbox/tmp/tmp.1cTW9d1cMG/E---3.1_18772.p',cls_conjecture_5) ).
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/tmp/tmp.1cTW9d1cMG/E---3.1_18772.p',cls_knows__Spy__Says_0) ).
cnf(cls_mem__def_1,axiom,
( c_in(X1,X2,X3)
| ~ hBOOL(hAPP(X2,X1)) ),
file('/export/starexec/sandbox/tmp/tmp.1cTW9d1cMG/E---3.1_18772.p',cls_mem__def_1) ).
cnf(cls_UnE_0,axiom,
( c_in(X1,X2,X3)
| c_in(X1,X4,X3)
| ~ c_in(X1,c_Lattices_Oupper__semilattice__class_Osup(X4,X2,tc_fun(X3,tc_bool)),X3) ),
file('/export/starexec/sandbox/tmp/tmp.1cTW9d1cMG/E---3.1_18772.p',cls_UnE_0) ).
cnf(cls_conjecture_3,negated_conjecture,
~ 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_X),v_evsf,tc_Event_Oevent))),tc_Message_Omsg),
file('/export/starexec/sandbox/tmp/tmp.1cTW9d1cMG/E---3.1_18772.p',cls_conjecture_3) ).
cnf(cls_analz__mono__contra_I1_J_0,axiom,
( c_in(X1,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_OSays(X3,X4,X5),X2,tc_Event_Oevent))),tc_Message_Omsg)
| ~ c_in(X1,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg) ),
file('/export/starexec/sandbox/tmp/tmp.1cTW9d1cMG/E---3.1_18772.p',cls_analz__mono__contra_I1_J_0) ).
cnf(cls_conjecture_6,negated_conjecture,
~ c_in(c_Event_Oevent_OSays(v_A,v_B,c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB)))),c_List_Oset(c_List_Olist_OCons(c_Event_Oevent_OSays(c_Message_Oagent_OSpy,v_Ba,v_X),v_evsf,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),
file('/export/starexec/sandbox/tmp/tmp.1cTW9d1cMG/E---3.1_18772.p',cls_conjecture_6) ).
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/tmp/tmp.1cTW9d1cMG/E---3.1_18772.p',cls_List_Oset_Osimps_I2_J_0) ).
cnf(cls_Crypt__synth_1,axiom,
( c_in(hAPP(c_Message_Omsg_OKey,X1),X2,tc_Message_Omsg)
| c_in(c_Message_Omsg_OCrypt(X1,X3),X2,tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(X1,X3),c_Message_Osynth(X2),tc_Message_Omsg) ),
file('/export/starexec/sandbox/tmp/tmp.1cTW9d1cMG/E---3.1_18772.p',cls_Crypt__synth_1) ).
cnf(cls_not__parts__not__analz_0,axiom,
( c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg)
| ~ c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg) ),
file('/export/starexec/sandbox/tmp/tmp.1cTW9d1cMG/E---3.1_18772.p',cls_not__parts__not__analz_0) ).
cnf(cls_insert__iff_2,axiom,
( c_in(X1,c_Set_Oinsert(X2,X3,X4),X4)
| ~ c_in(X1,X3,X4) ),
file('/export/starexec/sandbox/tmp/tmp.1cTW9d1cMG/E---3.1_18772.p',cls_insert__iff_2) ).
cnf(cls_conjecture_4,negated_conjecture,
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),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Omsg_OAgent(v_A)))))))),c_List_Oset(c_List_Olist_OCons(c_Event_Oevent_OSays(c_Message_Oagent_OSpy,v_Ba,v_X),v_evsf,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),
file('/export/starexec/sandbox/tmp/tmp.1cTW9d1cMG/E---3.1_18772.p',cls_conjecture_4) ).
cnf(cls_conjecture_7,negated_conjecture,
( c_in(c_Event_Oevent_OSays(v_A,v_B,c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB)))),c_List_Oset(v_evsf,tc_Event_Oevent),tc_Event_Oevent)
| c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg)
| ~ 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),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Omsg_OAgent(v_A)))))))),c_List_Oset(v_evsf,tc_Event_Oevent),tc_Event_Oevent) ),
file('/export/starexec/sandbox/tmp/tmp.1cTW9d1cMG/E---3.1_18772.p',cls_conjecture_7) ).
cnf(cls_insertE_0,axiom,
( c_in(X1,X2,X3)
| X1 = X4
| ~ c_in(X1,c_Set_Oinsert(X4,X2,X3),X3) ),
file('/export/starexec/sandbox/tmp/tmp.1cTW9d1cMG/E---3.1_18772.p',cls_insertE_0) ).
cnf(cls_event_Osimps_I1_J_0,axiom,
( X1 = X4
| c_Event_Oevent_OSays(X1,X2,X3) != c_Event_Oevent_OSays(X4,X5,X6) ),
file('/export/starexec/sandbox/tmp/tmp.1cTW9d1cMG/E---3.1_18772.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/tmp/tmp.1cTW9d1cMG/E---3.1_18772.p',cls_agent_Osimps_I4_J_0) ).
cnf(c_0_20,axiom,
( hBOOL(hAPP(X1,X2))
| ~ c_in(X2,X1,X3) ),
cls_mem__def_0 ).
cnf(c_0_21,negated_conjecture,
c_in(v_X,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg),
cls_conjecture_2 ).
cnf(c_0_22,axiom,
( 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_in(X3,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg)
| ~ c_in(X1,c_Message_Oparts(c_Set_Oinsert(X3,X2,tc_Message_Omsg)),tc_Message_Omsg) ),
cls_Fake__parts__insert__in__Un_0 ).
cnf(c_0_23,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_24,negated_conjecture,
c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),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_X),v_evsf,tc_Event_Oevent))),tc_Message_Omsg),
cls_conjecture_5 ).
cnf(c_0_25,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_26,axiom,
( c_in(X1,X2,X3)
| ~ hBOOL(hAPP(X2,X1)) ),
cls_mem__def_1 ).
cnf(c_0_27,negated_conjecture,
hBOOL(hAPP(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),v_X)),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_28,plain,
( 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)
| ~ c_in(X1,c_Message_Oparts(c_Set_Oinsert(X3,X2,tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_in(X3,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg) ),
inference(rw,[status(thm)],[c_0_22,c_0_23]) ).
cnf(c_0_29,negated_conjecture,
c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Message_Oparts(c_Set_Oinsert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),tc_Message_Omsg),
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_30,negated_conjecture,
c_in(v_X,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),X1),
inference(spm,[status(thm)],[c_0_26,c_0_27]) ).
cnf(c_0_31,axiom,
( c_in(X1,X2,X3)
| c_in(X1,X4,X3)
| ~ c_in(X1,c_Lattices_Oupper__semilattice__class_Osup(X4,X2,tc_fun(X3,tc_bool)),X3) ),
cls_UnE_0 ).
cnf(c_0_32,negated_conjecture,
c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(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_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_29]),c_0_30])]) ).
cnf(c_0_33,negated_conjecture,
~ 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_X),v_evsf,tc_Event_Oevent))),tc_Message_Omsg),
cls_conjecture_3 ).
cnf(c_0_34,axiom,
( c_in(X1,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_OSays(X3,X4,X5),X2,tc_Event_Oevent))),tc_Message_Omsg)
| ~ c_in(X1,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg) ),
cls_analz__mono__contra_I1_J_0 ).
cnf(c_0_35,negated_conjecture,
~ c_in(c_Event_Oevent_OSays(v_A,v_B,c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB)))),c_List_Oset(c_List_Olist_OCons(c_Event_Oevent_OSays(c_Message_Oagent_OSpy,v_Ba,v_X),v_evsf,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),
cls_conjecture_6 ).
cnf(c_0_36,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_37,axiom,
( c_in(hAPP(c_Message_Omsg_OKey,X1),X2,tc_Message_Omsg)
| c_in(c_Message_Omsg_OCrypt(X1,X3),X2,tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(X1,X3),c_Message_Osynth(X2),tc_Message_Omsg) ),
cls_Crypt__synth_1 ).
cnf(c_0_38,negated_conjecture,
( c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg)
| c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg) ),
inference(spm,[status(thm)],[c_0_31,c_0_32]) ).
cnf(c_0_39,negated_conjecture,
~ 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_33,c_0_34]) ).
cnf(c_0_40,axiom,
( c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg)
| ~ c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg) ),
cls_not__parts__not__analz_0 ).
cnf(c_0_41,negated_conjecture,
~ c_in(c_Event_Oevent_OSays(v_A,v_B,c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB)))),c_Set_Oinsert(c_Event_Oevent_OSays(c_Message_Oagent_OSpy,v_Ba,v_X),c_List_Oset(v_evsf,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),
inference(rw,[status(thm)],[c_0_35,c_0_36]) ).
cnf(c_0_42,axiom,
( c_in(X1,c_Set_Oinsert(X2,X3,X4),X4)
| ~ c_in(X1,X3,X4) ),
cls_insert__iff_2 ).
cnf(c_0_43,negated_conjecture,
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),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Omsg_OAgent(v_A)))))))),c_List_Oset(c_List_Olist_OCons(c_Event_Oevent_OSays(c_Message_Oagent_OSpy,v_Ba,v_X),v_evsf,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),
cls_conjecture_4 ).
cnf(c_0_44,negated_conjecture,
( c_in(c_Event_Oevent_OSays(v_A,v_B,c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB)))),c_List_Oset(v_evsf,tc_Event_Oevent),tc_Event_Oevent)
| c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg)
| ~ 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),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Omsg_OAgent(v_A)))))))),c_List_Oset(v_evsf,tc_Event_Oevent),tc_Event_Oevent) ),
cls_conjecture_7 ).
cnf(c_0_45,negated_conjecture,
c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_38]),c_0_39]),c_0_40]) ).
cnf(c_0_46,negated_conjecture,
~ c_in(c_Event_Oevent_OSays(v_A,v_B,c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB)))),c_List_Oset(v_evsf,tc_Event_Oevent),tc_Event_Oevent),
inference(spm,[status(thm)],[c_0_41,c_0_42]) ).
cnf(c_0_47,axiom,
( c_in(X1,X2,X3)
| X1 = X4
| ~ c_in(X1,c_Set_Oinsert(X4,X2,X3),X3) ),
cls_insertE_0 ).
cnf(c_0_48,negated_conjecture,
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),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Omsg_OAgent(v_A)))))))),c_Set_Oinsert(c_Event_Oevent_OSays(c_Message_Oagent_OSpy,v_Ba,v_X),c_List_Oset(v_evsf,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),
inference(rw,[status(thm)],[c_0_43,c_0_36]) ).
cnf(c_0_49,negated_conjecture,
~ 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),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Omsg_OAgent(v_A)))))))),c_List_Oset(v_evsf,tc_Event_Oevent),tc_Event_Oevent),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_44,c_0_45])]),c_0_46]),c_0_39]) ).
cnf(c_0_50,axiom,
( X1 = X4
| c_Event_Oevent_OSays(X1,X2,X3) != c_Event_Oevent_OSays(X4,X5,X6) ),
cls_event_Osimps_I1_J_0 ).
cnf(c_0_51,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),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Omsg_OAgent(v_A)))))))) = c_Event_Oevent_OSays(c_Message_Oagent_OSpy,v_Ba,v_X),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_48]),c_0_49]) ).
cnf(c_0_52,negated_conjecture,
( c_Message_Oagent_OServer = X1
| c_Event_Oevent_OSays(c_Message_Oagent_OSpy,v_Ba,v_X) != c_Event_Oevent_OSays(X1,X2,X3) ),
inference(spm,[status(thm)],[c_0_50,c_0_51]) ).
cnf(c_0_53,axiom,
c_Message_Oagent_OServer != c_Message_Oagent_OSpy,
cls_agent_Osimps_I4_J_0 ).
cnf(c_0_54,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(er,[status(thm)],[c_0_52]),c_0_53]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.15 % Problem : SWV767-1 : TPTP v8.1.2. Released v4.1.0.
% 0.15/0.16 % Command : run_E %s %d THM
% 0.15/0.36 % Computer : n032.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 2400
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Tue Oct 3 04:43:20 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.20/0.51 Running first-order theorem proving
% 0.20/0.51 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/tmp/tmp.1cTW9d1cMG/E---3.1_18772.p
% 2.82/0.92 # Version: 3.1pre001
% 2.82/0.92 # Preprocessing class: FSLSSMSMSSSNFFN.
% 2.82/0.92 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.82/0.92 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 2.82/0.92 # Starting new_bool_3 with 300s (1) cores
% 2.82/0.92 # Starting new_bool_1 with 300s (1) cores
% 2.82/0.92 # Starting sh5l with 300s (1) cores
% 2.82/0.92 # C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 18898 completed with status 0
% 2.82/0.92 # Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 2.82/0.92 # Preprocessing class: FSLSSMSMSSSNFFN.
% 2.82/0.92 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.82/0.92 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 2.82/0.92 # No SInE strategy applied
% 2.82/0.92 # Search class: FGHSM-FSLM32-DFFFFFNN
% 2.82/0.92 # Scheduled 13 strats onto 5 cores with 1500 seconds (1500 total)
% 2.82/0.92 # Starting G-E--_301_C18_F1_URBAN_S5PRR_S0Y with 113s (1) cores
% 2.82/0.92 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 2.82/0.92 # Starting G-E--_300_C18_F1_SE_CS_SP_PS_S0Y with 113s (1) cores
% 2.82/0.92 # Starting U----_206c_05_B11_00_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with 113s (1) cores
% 2.82/0.92 # Starting G-E--_208_B07_F1_AE_CS_SP_PS_S5PRR_S0Y with 113s (1) cores
% 2.82/0.92 # G-E--_301_C18_F1_URBAN_S5PRR_S0Y with pid 18905 completed with status 0
% 2.82/0.92 # Result found by G-E--_301_C18_F1_URBAN_S5PRR_S0Y
% 2.82/0.92 # Preprocessing class: FSLSSMSMSSSNFFN.
% 2.82/0.92 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.82/0.92 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 2.82/0.92 # No SInE strategy applied
% 2.82/0.92 # Search class: FGHSM-FSLM32-DFFFFFNN
% 2.82/0.92 # Scheduled 13 strats onto 5 cores with 1500 seconds (1500 total)
% 2.82/0.92 # Starting G-E--_301_C18_F1_URBAN_S5PRR_S0Y with 113s (1) cores
% 2.82/0.92 # Preprocessing time : 0.173 s
% 2.82/0.92
% 2.82/0.92 # Proof found!
% 2.82/0.92 # SZS status Unsatisfiable
% 2.82/0.92 # SZS output start CNFRefutation
% See solution above
% 2.82/0.92 # Parsed axioms : 580
% 2.82/0.92 # Removed by relevancy pruning/SinE : 0
% 2.82/0.92 # Initial clauses : 580
% 2.82/0.92 # Removed in clause preprocessing : 4
% 2.82/0.92 # Initial clauses in saturation : 576
% 2.82/0.92 # Processed clauses : 1186
% 2.82/0.92 # ...of these trivial : 84
% 2.82/0.92 # ...subsumed : 359
% 2.82/0.92 # ...remaining for further processing : 743
% 2.82/0.92 # Other redundant clauses eliminated : 8
% 2.82/0.92 # Clauses deleted for lack of memory : 0
% 2.82/0.92 # Backward-subsumed : 59
% 2.82/0.92 # Backward-rewritten : 41
% 2.82/0.92 # Generated clauses : 5600
% 2.82/0.92 # ...of the previous two non-redundant : 4600
% 2.82/0.92 # ...aggressively subsumed : 0
% 2.82/0.92 # Contextual simplify-reflections : 4
% 2.82/0.92 # Paramodulations : 5551
% 2.82/0.92 # Factorizations : 2
% 2.82/0.92 # NegExts : 0
% 2.82/0.92 # Equation resolutions : 47
% 2.82/0.92 # Total rewrite steps : 2330
% 2.82/0.92 # Propositional unsat checks : 0
% 2.82/0.92 # Propositional check models : 0
% 2.82/0.92 # Propositional check unsatisfiable : 0
% 2.82/0.92 # Propositional clauses : 0
% 2.82/0.92 # Propositional clauses after purity: 0
% 2.82/0.92 # Propositional unsat core size : 0
% 2.82/0.92 # Propositional preprocessing time : 0.000
% 2.82/0.92 # Propositional encoding time : 0.000
% 2.82/0.92 # Propositional solver time : 0.000
% 2.82/0.92 # Success case prop preproc time : 0.000
% 2.82/0.92 # Success case prop encoding time : 0.000
% 2.82/0.92 # Success case prop solver time : 0.000
% 2.82/0.92 # Current number of processed clauses : 643
% 2.82/0.92 # Positive orientable unit clauses : 183
% 2.82/0.92 # Positive unorientable unit clauses: 6
% 2.82/0.92 # Negative unit clauses : 72
% 2.82/0.92 # Non-unit-clauses : 382
% 2.82/0.92 # Current number of unprocessed clauses: 3935
% 2.82/0.92 # ...number of literals in the above : 9401
% 2.82/0.92 # Current number of archived formulas : 0
% 2.82/0.92 # Current number of archived clauses : 102
% 2.82/0.92 # Clause-clause subsumption calls (NU) : 54502
% 2.82/0.92 # Rec. Clause-clause subsumption calls : 37790
% 2.82/0.92 # Non-unit clause-clause subsumptions : 265
% 2.82/0.92 # Unit Clause-clause subsumption calls : 6170
% 2.82/0.92 # Rewrite failures with RHS unbound : 0
% 2.82/0.92 # BW rewrite match attempts : 780
% 2.82/0.92 # BW rewrite match successes : 64
% 2.82/0.92 # Condensation attempts : 0
% 2.82/0.92 # Condensation successes : 0
% 2.82/0.92 # Termbank termtop insertions : 123362
% 2.82/0.92
% 2.82/0.92 # -------------------------------------------------
% 2.82/0.92 # User time : 0.349 s
% 2.82/0.92 # System time : 0.030 s
% 2.82/0.92 # Total time : 0.379 s
% 2.82/0.92 # Maximum resident set size: 2804 pages
% 2.82/0.92
% 2.82/0.92 # -------------------------------------------------
% 2.82/0.92 # User time : 1.806 s
% 2.82/0.92 # System time : 0.083 s
% 2.82/0.92 # Total time : 1.889 s
% 2.82/0.92 # Maximum resident set size: 2136 pages
% 2.82/0.92 % E---3.1 exiting
% 2.82/0.92 % E---3.1 exiting
%------------------------------------------------------------------------------