TSTP Solution File: SWV800-1 by E---3.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1
% Problem : SWV800-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n009.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 19:55:22 EDT 2023
% Result : Unsatisfiable 21.53s 3.21s
% Output : CNFRefutation 21.53s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 20
% Syntax : Number of clauses : 66 ( 40 unt; 6 nHn; 46 RR)
% Number of literals : 105 ( 9 equ; 43 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 32 ( 32 usr; 17 con; 0-3 aty)
% Number of variables : 88 ( 20 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_mem__def_1,axiom,
( c_in(X1,X2,X3)
| ~ hBOOL(hAPP(X2,X1)) ),
file('/export/starexec/sandbox2/tmp/tmp.V37ehncnew/E---3.1_26804.p',cls_mem__def_1) ).
cnf(cls_insert__code_1,axiom,
hBOOL(hAPP(c_Set_Oinsert(X1,X2,X3),X1)),
file('/export/starexec/sandbox2/tmp/tmp.V37ehncnew/E---3.1_26804.p',cls_insert__code_1) ).
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/sandbox2/tmp/tmp.V37ehncnew/E---3.1_26804.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/sandbox2/tmp/tmp.V37ehncnew/E---3.1_26804.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/sandbox2/tmp/tmp.V37ehncnew/E---3.1_26804.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/sandbox2/tmp/tmp.V37ehncnew/E---3.1_26804.p',cls_parts__analz_0) ).
cnf(cls_insert__absorb_0,axiom,
( c_Set_Oinsert(X1,X2,X3) = X2
| ~ c_in(X1,X2,X3) ),
file('/export/starexec/sandbox2/tmp/tmp.V37ehncnew/E---3.1_26804.p',cls_insert__absorb_0) ).
cnf(cls_mem__def_0,axiom,
( hBOOL(hAPP(X1,X2))
| ~ c_in(X2,X1,X3) ),
file('/export/starexec/sandbox2/tmp/tmp.V37ehncnew/E---3.1_26804.p',cls_mem__def_0) ).
cnf(cls_conjecture_3,negated_conjecture,
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/sandbox2/tmp/tmp.V37ehncnew/E---3.1_26804.p',cls_conjecture_3) ).
cnf(cls_conjecture_6,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_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),tc_Message_Omsg),
file('/export/starexec/sandbox2/tmp/tmp.V37ehncnew/E---3.1_26804.p',cls_conjecture_6) ).
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/sandbox2/tmp/tmp.V37ehncnew/E---3.1_26804.p',cls_UnE_0) ).
cnf(cls_conjecture_5,negated_conjecture,
c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(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_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),tc_Message_Omsg),
file('/export/starexec/sandbox2/tmp/tmp.V37ehncnew/E---3.1_26804.p',cls_conjecture_5) ).
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/sandbox2/tmp/tmp.V37ehncnew/E---3.1_26804.p',cls_not__parts__not__analz_0) ).
cnf(cls_conjecture_8,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(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_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(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_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/tmp/tmp.V37ehncnew/E---3.1_26804.p',cls_conjecture_8) ).
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),
file('/export/starexec/sandbox2/tmp/tmp.V37ehncnew/E---3.1_26804.p',cls_conjecture_7) ).
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/sandbox2/tmp/tmp.V37ehncnew/E---3.1_26804.p',cls_Crypt__synth_1) ).
cnf(cls_conjecture_4,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),
file('/export/starexec/sandbox2/tmp/tmp.V37ehncnew/E---3.1_26804.p',cls_conjecture_4) ).
cnf(cls_conjecture_2,negated_conjecture,
c_in(v_evsf,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)),
file('/export/starexec/sandbox2/tmp/tmp.V37ehncnew/E---3.1_26804.p',cls_conjecture_2) ).
cnf(cls_Spy__analz__shrK_0,axiom,
( c_in(X1,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X1)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg)
| ~ c_in(X2,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
file('/export/starexec/sandbox2/tmp/tmp.V37ehncnew/E---3.1_26804.p',cls_Spy__analz__shrK_0) ).
cnf(cls_conjecture_0,negated_conjecture,
~ c_in(v_A,c_Event_Obad,tc_Message_Oagent),
file('/export/starexec/sandbox2/tmp/tmp.V37ehncnew/E---3.1_26804.p',cls_conjecture_0) ).
cnf(c_0_20,axiom,
( c_in(X1,X2,X3)
| ~ hBOOL(hAPP(X2,X1)) ),
cls_mem__def_1 ).
cnf(c_0_21,axiom,
hBOOL(hAPP(c_Set_Oinsert(X1,X2,X3),X1)),
cls_insert__code_1 ).
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,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_25,axiom,
c_Message_Oparts(c_Message_Oanalz(X1)) = c_Message_Oparts(X1),
cls_parts__analz_0 ).
cnf(c_0_26,plain,
c_in(X1,c_Set_Oinsert(X1,X2,X3),X4),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_27,axiom,
( c_Set_Oinsert(X1,X2,X3) = X2
| ~ c_in(X1,X2,X3) ),
cls_insert__absorb_0 ).
cnf(c_0_28,axiom,
( hBOOL(hAPP(X1,X2))
| ~ c_in(X2,X1,X3) ),
cls_mem__def_0 ).
cnf(c_0_29,negated_conjecture,
c_in(v_Xa,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg),
cls_conjecture_3 ).
cnf(c_0_30,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_31,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_24,c_0_25]) ).
cnf(c_0_32,plain,
( c_in(X1,X2,X3)
| ~ c_in(X1,X2,X4) ),
inference(spm,[status(thm)],[c_0_26,c_0_27]) ).
cnf(c_0_33,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_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),tc_Message_Omsg),
cls_conjecture_6 ).
cnf(c_0_34,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_28,c_0_29]) ).
cnf(c_0_35,plain,
( c_in(X1,c_Message_Oparts(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)
| ~ c_in(X3,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg) ),
inference(rw,[status(thm)],[c_0_30,c_0_31]) ).
cnf(c_0_36,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_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),X1),
inference(spm,[status(thm)],[c_0_32,c_0_33]) ).
cnf(c_0_37,negated_conjecture,
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_20,c_0_34]) ).
cnf(c_0_38,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_39,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_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_35,c_0_36]),c_0_37])]) ).
cnf(c_0_40,negated_conjecture,
c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(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_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),tc_Message_Omsg),
cls_conjecture_5 ).
cnf(c_0_41,plain,
( c_in(X1,c_Message_Osynth(X2),tc_Message_Omsg)
| c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg)
| ~ c_in(X1,c_Message_Oparts(c_Message_Osynth(X2)),tc_Message_Omsg) ),
inference(spm,[status(thm)],[c_0_38,c_0_24]) ).
cnf(c_0_42,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_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)))),X1),
inference(spm,[status(thm)],[c_0_32,c_0_39]) ).
cnf(c_0_43,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_44,negated_conjecture,
c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(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_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_32,c_0_40]) ).
cnf(c_0_45,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(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_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(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_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg) ),
cls_conjecture_8 ).
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),
cls_conjecture_7 ).
cnf(c_0_47,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_48,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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_42]),c_0_25]) ).
cnf(c_0_49,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),
cls_conjecture_4 ).
cnf(c_0_50,plain,
( c_in(X1,c_Message_Oparts(X2),X3)
| ~ c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg) ),
inference(spm,[status(thm)],[c_0_32,c_0_43]) ).
cnf(c_0_51,negated_conjecture,
c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(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_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_35,c_0_44]),c_0_37])]) ).
cnf(c_0_52,negated_conjecture,
( ~ c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(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_Message_Oparts(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(sr,[status(thm)],[c_0_45,c_0_46]) ).
cnf(c_0_53,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_47,c_0_48]),c_0_49]),c_0_50]) ).
cnf(c_0_54,negated_conjecture,
c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(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_Message_Oparts(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)))),X1),
inference(spm,[status(thm)],[c_0_32,c_0_51]) ).
cnf(c_0_55,negated_conjecture,
~ c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(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_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_52,c_0_53])]) ).
cnf(c_0_56,negated_conjecture,
( ~ c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(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_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_52,c_0_43]) ).
cnf(c_0_57,negated_conjecture,
c_in(v_evsf,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)),
cls_conjecture_2 ).
cnf(c_0_58,negated_conjecture,
c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(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_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_54]),c_0_25]),c_0_55]) ).
cnf(c_0_59,negated_conjecture,
~ c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(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_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_56,c_0_53])]) ).
cnf(c_0_60,negated_conjecture,
hBOOL(hAPP(c_NS__Shared__Mirabelle_Ons__shared,v_evsf)),
inference(spm,[status(thm)],[c_0_28,c_0_57]) ).
cnf(c_0_61,axiom,
( c_in(X1,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X1)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg)
| ~ c_in(X2,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
cls_Spy__analz__shrK_0 ).
cnf(c_0_62,negated_conjecture,
c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,v_A)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_58]),c_0_59]) ).
cnf(c_0_63,negated_conjecture,
c_in(v_evsf,c_NS__Shared__Mirabelle_Ons__shared,X1),
inference(spm,[status(thm)],[c_0_20,c_0_60]) ).
cnf(c_0_64,negated_conjecture,
~ c_in(v_A,c_Event_Obad,tc_Message_Oagent),
cls_conjecture_0 ).
cnf(c_0_65,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_62]),c_0_63])]),c_0_64]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : SWV800-1 : TPTP v8.1.2. Released v4.1.0.
% 0.08/0.14 % Command : run_E %s %d THM
% 0.14/0.34 % Computer : n009.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 2400
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Tue Oct 3 04:04:14 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.19/0.48 Running first-order theorem proving
% 0.19/0.48 Running: /export/starexec/sandbox2/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/sandbox2/tmp/tmp.V37ehncnew/E---3.1_26804.p
% 21.53/3.21 # Version: 3.1pre001
% 21.53/3.21 # Preprocessing class: FSLSSMSMSSSNFFN.
% 21.53/3.21 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 21.53/3.21 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 21.53/3.21 # Starting new_bool_3 with 300s (1) cores
% 21.53/3.21 # Starting new_bool_1 with 300s (1) cores
% 21.53/3.21 # Starting sh5l with 300s (1) cores
% 21.53/3.21 # new_bool_3 with pid 26883 completed with status 0
% 21.53/3.21 # Result found by new_bool_3
% 21.53/3.21 # Preprocessing class: FSLSSMSMSSSNFFN.
% 21.53/3.21 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 21.53/3.21 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 21.53/3.21 # Starting new_bool_3 with 300s (1) cores
% 21.53/3.21 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 21.53/3.21 # Search class: FGHSM-FSLM31-DFFFFFNN
% 21.53/3.21 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 21.53/3.21 # Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 21.53/3.21 # G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with pid 26886 completed with status 0
% 21.53/3.21 # Result found by G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 21.53/3.21 # Preprocessing class: FSLSSMSMSSSNFFN.
% 21.53/3.21 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 21.53/3.21 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 21.53/3.21 # Starting new_bool_3 with 300s (1) cores
% 21.53/3.21 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 21.53/3.21 # Search class: FGHSM-FSLM31-DFFFFFNN
% 21.53/3.21 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 21.53/3.21 # Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 21.53/3.21 # Preprocessing time : 0.005 s
% 21.53/3.21 # Presaturation interreduction done
% 21.53/3.21
% 21.53/3.21 # Proof found!
% 21.53/3.21 # SZS status Unsatisfiable
% 21.53/3.21 # SZS output start CNFRefutation
% See solution above
% 21.53/3.21 # Parsed axioms : 550
% 21.53/3.21 # Removed by relevancy pruning/SinE : 148
% 21.53/3.21 # Initial clauses : 402
% 21.53/3.21 # Removed in clause preprocessing : 0
% 21.53/3.21 # Initial clauses in saturation : 402
% 21.53/3.21 # Processed clauses : 14120
% 21.53/3.21 # ...of these trivial : 1798
% 21.53/3.21 # ...subsumed : 8560
% 21.53/3.21 # ...remaining for further processing : 3762
% 21.53/3.21 # Other redundant clauses eliminated : 126
% 21.53/3.21 # Clauses deleted for lack of memory : 0
% 21.53/3.21 # Backward-subsumed : 486
% 21.53/3.21 # Backward-rewritten : 296
% 21.53/3.21 # Generated clauses : 151511
% 21.53/3.21 # ...of the previous two non-redundant : 126874
% 21.53/3.21 # ...aggressively subsumed : 0
% 21.53/3.21 # Contextual simplify-reflections : 5
% 21.53/3.21 # Paramodulations : 151357
% 21.53/3.21 # Factorizations : 0
% 21.53/3.21 # NegExts : 0
% 21.53/3.21 # Equation resolutions : 154
% 21.53/3.21 # Total rewrite steps : 116982
% 21.53/3.21 # Propositional unsat checks : 0
% 21.53/3.21 # Propositional check models : 0
% 21.53/3.21 # Propositional check unsatisfiable : 0
% 21.53/3.21 # Propositional clauses : 0
% 21.53/3.21 # Propositional clauses after purity: 0
% 21.53/3.21 # Propositional unsat core size : 0
% 21.53/3.21 # Propositional preprocessing time : 0.000
% 21.53/3.21 # Propositional encoding time : 0.000
% 21.53/3.21 # Propositional solver time : 0.000
% 21.53/3.21 # Success case prop preproc time : 0.000
% 21.53/3.21 # Success case prop encoding time : 0.000
% 21.53/3.21 # Success case prop solver time : 0.000
% 21.53/3.21 # Current number of processed clauses : 2683
% 21.53/3.21 # Positive orientable unit clauses : 1503
% 21.53/3.21 # Positive unorientable unit clauses: 21
% 21.53/3.21 # Negative unit clauses : 179
% 21.53/3.21 # Non-unit-clauses : 980
% 21.53/3.21 # Current number of unprocessed clauses: 110439
% 21.53/3.21 # ...number of literals in the above : 184051
% 21.53/3.21 # Current number of archived formulas : 0
% 21.53/3.21 # Current number of archived clauses : 1079
% 21.53/3.21 # Clause-clause subsumption calls (NU) : 185768
% 21.53/3.21 # Rec. Clause-clause subsumption calls : 166434
% 21.53/3.21 # Non-unit clause-clause subsumptions : 2363
% 21.53/3.21 # Unit Clause-clause subsumption calls : 72859
% 21.53/3.21 # Rewrite failures with RHS unbound : 0
% 21.53/3.21 # BW rewrite match attempts : 11115
% 21.53/3.21 # BW rewrite match successes : 442
% 21.53/3.21 # Condensation attempts : 0
% 21.53/3.21 # Condensation successes : 0
% 21.53/3.21 # Termbank termtop insertions : 2909416
% 21.53/3.21
% 21.53/3.21 # -------------------------------------------------
% 21.53/3.21 # User time : 2.562 s
% 21.53/3.21 # System time : 0.085 s
% 21.53/3.21 # Total time : 2.647 s
% 21.53/3.21 # Maximum resident set size: 2664 pages
% 21.53/3.21
% 21.53/3.21 # -------------------------------------------------
% 21.53/3.21 # User time : 2.575 s
% 21.53/3.21 # System time : 0.089 s
% 21.53/3.21 # Total time : 2.663 s
% 21.53/3.21 # Maximum resident set size: 2120 pages
% 21.53/3.21 % E---3.1 exiting
% 21.53/3.21 % E---3.1 exiting
%------------------------------------------------------------------------------