TSTP Solution File: SWV746-1 by E-SAT---3.1
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%------------------------------------------------------------------------------
% File : E-SAT---3.1
% Problem : SWV746-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n027.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 20:07:45 EDT 2023
% Result : Unsatisfiable 6.09s 1.30s
% Output : CNFRefutation 6.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 23
% Syntax : Number of clauses : 74 ( 40 unt; 8 nHn; 58 RR)
% Number of literals : 119 ( 24 equ; 49 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 10 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 32 ( 32 usr; 17 con; 0-3 aty)
% Number of variables : 125 ( 39 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_insert__code_1,axiom,
hBOOL(hAPP(c_Set_Oinsert(X1,X2,X3),X1)),
file('/export/starexec/sandbox2/tmp/tmp.IIziJMZQOe/E---3.1_29175.p',cls_insert__code_1) ).
cnf(cls_insert__absorb_0,axiom,
( c_Set_Oinsert(X1,X2,X3) = X2
| ~ hBOOL(c_in(X1,X2,X3)) ),
file('/export/starexec/sandbox2/tmp/tmp.IIziJMZQOe/E---3.1_29175.p',cls_insert__absorb_0) ).
cnf(cls_conjecture_6,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_X),v_evsf,tc_Event_Oevent))),tc_Message_Omsg)),
file('/export/starexec/sandbox2/tmp/tmp.IIziJMZQOe/E---3.1_29175.p',cls_conjecture_6) ).
cnf(cls_synth_OInj_0,axiom,
( hBOOL(c_in(X1,c_Message_Osynth(X2),tc_Message_Omsg))
| ~ hBOOL(c_in(X1,X2,tc_Message_Omsg)) ),
file('/export/starexec/sandbox2/tmp/tmp.IIziJMZQOe/E---3.1_29175.p',cls_synth_OInj_0) ).
cnf(cls_mem__def_1,axiom,
( hBOOL(c_in(X1,X2,X3))
| ~ hBOOL(hAPP(X2,X1)) ),
file('/export/starexec/sandbox2/tmp/tmp.IIziJMZQOe/E---3.1_29175.p',cls_mem__def_1) ).
cnf(cls_conjecture_3,negated_conjecture,
hBOOL(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/sandbox2/tmp/tmp.IIziJMZQOe/E---3.1_29175.p',cls_conjecture_3) ).
cnf(cls_conjecture_2,negated_conjecture,
hBOOL(c_in(v_evsf,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))),
file('/export/starexec/sandbox2/tmp/tmp.IIziJMZQOe/E---3.1_29175.p',cls_conjecture_2) ).
cnf(cls_conjecture_5,negated_conjecture,
~ hBOOL(c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(X1,hAPP(c_Message_Omsg_OKey,v_K)))),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/sandbox2/tmp/tmp.IIziJMZQOe/E---3.1_29175.p',cls_conjecture_5) ).
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/sandbox2/tmp/tmp.IIziJMZQOe/E---3.1_29175.p',cls_List_Oset_Osimps_I2_J_0) ).
cnf(cls_Fake__analz__eq_0,axiom,
( c_Message_Osynth(c_Message_Oanalz(c_Set_Oinsert(X1,X2,tc_Message_Omsg))) = c_Message_Osynth(c_Message_Oanalz(X2))
| ~ hBOOL(c_in(X1,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg)) ),
file('/export/starexec/sandbox2/tmp/tmp.IIziJMZQOe/E---3.1_29175.p',cls_Fake__analz__eq_0) ).
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/sandbox2/tmp/tmp.IIziJMZQOe/E---3.1_29175.p',cls_knows__Spy__Says_0) ).
cnf(cls_insertCI_0,axiom,
( hBOOL(c_in(X1,c_Set_Oinsert(X2,X3,X4),X4))
| ~ hBOOL(c_in(X1,X3,X4)) ),
file('/export/starexec/sandbox2/tmp/tmp.IIziJMZQOe/E---3.1_29175.p',cls_insertCI_0) ).
cnf(cls_conjecture_7,negated_conjecture,
( hBOOL(c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_x,hAPP(c_Message_Omsg_OKey,v_K)))),c_List_Oset(v_evsf,tc_Event_Oevent),tc_Event_Oevent))
| ~ 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(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/sandbox2/tmp/tmp.IIziJMZQOe/E---3.1_29175.p',cls_conjecture_7) ).
cnf(cls_A__trusts__NS2_0,axiom,
( hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X1,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(X2,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X4),X5))))),c_List_Oset(X6,tc_Event_Oevent),tc_Event_Oevent))
| hBOOL(c_in(X1,c_Event_Obad,tc_Message_Oagent))
| ~ hBOOL(c_in(X6,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
| ~ hBOOL(c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(X2,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X4),X5)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X6)),tc_Message_Omsg)) ),
file('/export/starexec/sandbox2/tmp/tmp.IIziJMZQOe/E---3.1_29175.p',cls_A__trusts__NS2_0) ).
cnf(cls_conjecture_0,negated_conjecture,
~ hBOOL(c_in(v_A,c_Event_Obad,tc_Message_Oagent)),
file('/export/starexec/sandbox2/tmp/tmp.IIziJMZQOe/E---3.1_29175.p',cls_conjecture_0) ).
cnf(cls_parts_OInj_0,axiom,
( hBOOL(c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg))
| ~ hBOOL(c_in(X1,X2,tc_Message_Omsg)) ),
file('/export/starexec/sandbox2/tmp/tmp.IIziJMZQOe/E---3.1_29175.p',cls_parts_OInj_0) ).
cnf(cls_Key__synth_0,axiom,
( hBOOL(c_in(hAPP(c_Message_Omsg_OKey,X1),X2,tc_Message_Omsg))
| ~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,X1),c_Message_Osynth(X2),tc_Message_Omsg)) ),
file('/export/starexec/sandbox2/tmp/tmp.IIziJMZQOe/E---3.1_29175.p',cls_Key__synth_0) ).
cnf(cls_Says__imp__spies_0,axiom,
( hBOOL(c_in(X1,c_Event_Oknows(c_Message_Oagent_OSpy,X2),tc_Message_Omsg))
| ~ hBOOL(c_in(c_Event_Oevent_OSays(X3,X4,X1),c_List_Oset(X2,tc_Event_Oevent),tc_Event_Oevent)) ),
file('/export/starexec/sandbox2/tmp/tmp.IIziJMZQOe/E---3.1_29175.p',cls_Says__imp__spies_0) ).
cnf(cls_conjecture_4,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),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/sandbox2/tmp/tmp.IIziJMZQOe/E---3.1_29175.p',cls_conjecture_4) ).
cnf(cls_insertE_0,axiom,
( hBOOL(c_in(X1,X2,X3))
| X1 = X4
| ~ hBOOL(c_in(X1,c_Set_Oinsert(X4,X2,X3),X3)) ),
file('/export/starexec/sandbox2/tmp/tmp.IIziJMZQOe/E---3.1_29175.p',cls_insertE_0) ).
cnf(cls_insert__code_0,axiom,
( hBOOL(hAPP(X1,X2))
| X3 = X2
| ~ hBOOL(hAPP(c_Set_Oinsert(X3,X1,X4),X2)) ),
file('/export/starexec/sandbox2/tmp/tmp.IIziJMZQOe/E---3.1_29175.p',cls_insert__code_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/sandbox2/tmp/tmp.IIziJMZQOe/E---3.1_29175.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/sandbox2/tmp/tmp.IIziJMZQOe/E---3.1_29175.p',cls_agent_Osimps_I4_J_0) ).
cnf(c_0_23,axiom,
hBOOL(hAPP(c_Set_Oinsert(X1,X2,X3),X1)),
cls_insert__code_1 ).
cnf(c_0_24,axiom,
( c_Set_Oinsert(X1,X2,X3) = X2
| ~ hBOOL(c_in(X1,X2,X3)) ),
cls_insert__absorb_0 ).
cnf(c_0_25,plain,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(c_in(X2,X1,X3)) ),
inference(spm,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_26,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_X),v_evsf,tc_Event_Oevent))),tc_Message_Omsg)),
cls_conjecture_6 ).
cnf(c_0_27,axiom,
( hBOOL(c_in(X1,c_Message_Osynth(X2),tc_Message_Omsg))
| ~ hBOOL(c_in(X1,X2,tc_Message_Omsg)) ),
cls_synth_OInj_0 ).
cnf(c_0_28,axiom,
( hBOOL(c_in(X1,X2,X3))
| ~ hBOOL(hAPP(X2,X1)) ),
cls_mem__def_1 ).
cnf(c_0_29,negated_conjecture,
hBOOL(hAPP(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))),hAPP(c_Message_Omsg_OKey,v_K))),
inference(spm,[status(thm)],[c_0_25,c_0_26]) ).
cnf(c_0_30,negated_conjecture,
hBOOL(c_in(v_X,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg)),
cls_conjecture_3 ).
cnf(c_0_31,negated_conjecture,
hBOOL(c_in(v_evsf,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))),
cls_conjecture_2 ).
cnf(c_0_32,negated_conjecture,
~ hBOOL(c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(X1,hAPP(c_Message_Omsg_OKey,v_K)))),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_5 ).
cnf(c_0_33,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_34,plain,
( hBOOL(hAPP(c_Message_Osynth(X1),X2))
| ~ hBOOL(c_in(X2,X1,tc_Message_Omsg)) ),
inference(spm,[status(thm)],[c_0_25,c_0_27]) ).
cnf(c_0_35,axiom,
( c_Message_Osynth(c_Message_Oanalz(c_Set_Oinsert(X1,X2,tc_Message_Omsg))) = c_Message_Osynth(c_Message_Oanalz(X2))
| ~ hBOOL(c_in(X1,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg)) ),
cls_Fake__analz__eq_0 ).
cnf(c_0_36,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_X),v_evsf,tc_Event_Oevent))),X1)),
inference(spm,[status(thm)],[c_0_28,c_0_29]) ).
cnf(c_0_37,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_38,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_25,c_0_30]) ).
cnf(c_0_39,negated_conjecture,
hBOOL(hAPP(c_NS__Shared__Mirabelle_Ons__shared,v_evsf)),
inference(spm,[status(thm)],[c_0_25,c_0_31]) ).
cnf(c_0_40,negated_conjecture,
~ hBOOL(c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(X1,hAPP(c_Message_Omsg_OKey,v_K)))),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(spm,[status(thm)],[c_0_32,c_0_33]) ).
cnf(c_0_41,axiom,
( hBOOL(c_in(X1,c_Set_Oinsert(X2,X3,X4),X4))
| ~ hBOOL(c_in(X1,X3,X4)) ),
cls_insertCI_0 ).
cnf(c_0_42,plain,
( hBOOL(hAPP(c_Message_Osynth(c_Message_Oanalz(X1)),X2))
| ~ hBOOL(c_in(X2,c_Message_Oanalz(c_Set_Oinsert(X3,X1,tc_Message_Omsg)),tc_Message_Omsg))
| ~ hBOOL(c_in(X3,c_Message_Osynth(c_Message_Oanalz(X1)),tc_Message_Omsg)) ),
inference(spm,[status(thm)],[c_0_34,c_0_35]) ).
cnf(c_0_43,negated_conjecture,
hBOOL(c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oanalz(c_Set_Oinsert(v_X,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_44,negated_conjecture,
hBOOL(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_28,c_0_38]) ).
cnf(c_0_45,negated_conjecture,
( hBOOL(c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_x,hAPP(c_Message_Omsg_OKey,v_K)))),c_List_Oset(v_evsf,tc_Event_Oevent),tc_Event_Oevent))
| ~ 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(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_46,axiom,
( hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X1,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(X2,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X4),X5))))),c_List_Oset(X6,tc_Event_Oevent),tc_Event_Oevent))
| hBOOL(c_in(X1,c_Event_Obad,tc_Message_Oagent))
| ~ hBOOL(c_in(X6,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
| ~ hBOOL(c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(X2,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X4),X5)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X6)),tc_Message_Omsg)) ),
cls_A__trusts__NS2_0 ).
cnf(c_0_47,negated_conjecture,
hBOOL(c_in(v_evsf,c_NS__Shared__Mirabelle_Ons__shared,X1)),
inference(spm,[status(thm)],[c_0_28,c_0_39]) ).
cnf(c_0_48,negated_conjecture,
~ hBOOL(c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(X1,hAPP(c_Message_Omsg_OKey,v_K)))),c_List_Oset(v_evsf,tc_Event_Oevent),tc_Event_Oevent)),
inference(spm,[status(thm)],[c_0_40,c_0_41]) ).
cnf(c_0_49,negated_conjecture,
~ hBOOL(c_in(v_A,c_Event_Obad,tc_Message_Oagent)),
cls_conjecture_0 ).
cnf(c_0_50,negated_conjecture,
hBOOL(hAPP(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),hAPP(c_Message_Omsg_OKey,v_K))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_43]),c_0_44])]) ).
cnf(c_0_51,negated_conjecture,
( ~ hBOOL(c_in(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_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)) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_46]),c_0_47])]),c_0_48]),c_0_49]) ).
cnf(c_0_52,axiom,
( hBOOL(c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg))
| ~ hBOOL(c_in(X1,X2,tc_Message_Omsg)) ),
cls_parts_OInj_0 ).
cnf(c_0_53,axiom,
( hBOOL(c_in(hAPP(c_Message_Omsg_OKey,X1),X2,tc_Message_Omsg))
| ~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,X1),c_Message_Osynth(X2),tc_Message_Omsg)) ),
cls_Key__synth_0 ).
cnf(c_0_54,negated_conjecture,
hBOOL(c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),X1)),
inference(spm,[status(thm)],[c_0_28,c_0_50]) ).
cnf(c_0_55,axiom,
( hBOOL(c_in(X1,c_Event_Oknows(c_Message_Oagent_OSpy,X2),tc_Message_Omsg))
| ~ hBOOL(c_in(c_Event_Oevent_OSays(X3,X4,X1),c_List_Oset(X2,tc_Event_Oevent),tc_Event_Oevent)) ),
cls_Says__imp__spies_0 ).
cnf(c_0_56,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),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_57,negated_conjecture,
( ~ hBOOL(c_in(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_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)) ),
inference(spm,[status(thm)],[c_0_51,c_0_52]) ).
cnf(c_0_58,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_53,c_0_54]) ).
cnf(c_0_59,axiom,
( hBOOL(c_in(X1,X2,X3))
| X1 = X4
| ~ hBOOL(c_in(X1,c_Set_Oinsert(X4,X2,X3),X3)) ),
cls_insertE_0 ).
cnf(c_0_60,negated_conjecture,
hBOOL(c_in(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(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg),tc_Message_Omsg)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_56]),c_0_37]) ).
cnf(c_0_61,negated_conjecture,
~ hBOOL(c_in(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_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_57,c_0_58])]) ).
cnf(c_0_62,negated_conjecture,
hBOOL(hAPP(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),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)))))))))),
inference(spm,[status(thm)],[c_0_25,c_0_56]) ).
cnf(c_0_63,negated_conjecture,
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))))))) = v_X,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_60]),c_0_61]) ).
cnf(c_0_64,axiom,
( hBOOL(hAPP(X1,X2))
| X3 = X2
| ~ hBOOL(hAPP(c_Set_Oinsert(X3,X1,X4),X2)) ),
cls_insert__code_0 ).
cnf(c_0_65,negated_conjecture,
hBOOL(hAPP(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),c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_A,v_X))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_63]),c_0_33]) ).
cnf(c_0_66,negated_conjecture,
( c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_A,v_X) = c_Event_Oevent_OSays(c_Message_Oagent_OSpy,v_Ba,v_X)
| hBOOL(hAPP(c_List_Oset(v_evsf,tc_Event_Oevent),c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_A,v_X))) ),
inference(spm,[status(thm)],[c_0_64,c_0_65]) ).
cnf(c_0_67,negated_conjecture,
( c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_A,v_X) = c_Event_Oevent_OSays(c_Message_Oagent_OSpy,v_Ba,v_X)
| hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_A,v_X),c_List_Oset(v_evsf,tc_Event_Oevent),X1)) ),
inference(spm,[status(thm)],[c_0_28,c_0_66]) ).
cnf(c_0_68,negated_conjecture,
~ hBOOL(c_in(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_24]),c_0_61]) ).
cnf(c_0_69,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_70,negated_conjecture,
c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_A,v_X) = c_Event_Oevent_OSays(c_Message_Oagent_OSpy,v_Ba,v_X),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_67]),c_0_68]) ).
cnf(c_0_71,negated_conjecture,
( X1 = c_Message_Oagent_OServer
| c_Event_Oevent_OSays(X1,X2,X3) != c_Event_Oevent_OSays(c_Message_Oagent_OSpy,v_Ba,v_X) ),
inference(spm,[status(thm)],[c_0_69,c_0_70]) ).
cnf(c_0_72,axiom,
c_Message_Oagent_OServer != c_Message_Oagent_OSpy,
cls_agent_Osimps_I4_J_0 ).
cnf(c_0_73,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(er,[status(thm)],[c_0_71]),c_0_72]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.11 % Problem : SWV746-1 : TPTP v8.1.2. Released v4.1.0.
% 0.09/0.12 % Command : run_E %s %d THM
% 0.12/0.32 % Computer : n027.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 2400
% 0.12/0.32 % WCLimit : 300
% 0.12/0.32 % DateTime : Tue Oct 3 04:11:01 EDT 2023
% 0.12/0.33 % CPUTime :
% 0.17/0.48 Running first-order model finding
% 0.17/0.48 Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --satauto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/tmp/tmp.IIziJMZQOe/E---3.1_29175.p
% 6.09/1.30 # Version: 3.1pre001
% 6.09/1.30 # Preprocessing class: FSLSSMSMSSSNFFN.
% 6.09/1.30 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 6.09/1.30 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 6.09/1.30 # Starting new_bool_3 with 300s (1) cores
% 6.09/1.30 # Starting new_bool_1 with 300s (1) cores
% 6.09/1.30 # Starting sh5l with 300s (1) cores
% 6.09/1.30 # C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 29252 completed with status 0
% 6.09/1.30 # Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 6.09/1.30 # Preprocessing class: FSLSSMSMSSSNFFN.
% 6.09/1.30 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 6.09/1.30 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 6.09/1.30 # No SInE strategy applied
% 6.09/1.30 # Search class: FGHSM-FSLM31-DFFFFFNN
% 6.09/1.30 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 6.09/1.30 # Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 680s (1) cores
% 6.09/1.30 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 6.09/1.30 # Starting U----_206c_10_B11_00_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 6.09/1.30 # Starting G-E--_302_C18_F1_URBAN_S5PRR_RG_S0Y with 136s (1) cores
% 6.09/1.30 # Starting G-E--_208_B07_F1_SE_CS_SP_PS_S4d with 136s (1) cores
% 6.09/1.30 # C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 29257 completed with status 0
% 6.09/1.30 # Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 6.09/1.30 # Preprocessing class: FSLSSMSMSSSNFFN.
% 6.09/1.30 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 6.09/1.30 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 6.09/1.30 # No SInE strategy applied
% 6.09/1.30 # Search class: FGHSM-FSLM31-DFFFFFNN
% 6.09/1.30 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 6.09/1.30 # Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 680s (1) cores
% 6.09/1.30 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 6.09/1.30 # Preprocessing time : 0.007 s
% 6.09/1.30 # Presaturation interreduction done
% 6.09/1.30
% 6.09/1.30 # Proof found!
% 6.09/1.30 # SZS status Unsatisfiable
% 6.09/1.30 # SZS output start CNFRefutation
% See solution above
% 6.09/1.30 # Parsed axioms : 557
% 6.09/1.30 # Removed by relevancy pruning/SinE : 0
% 6.09/1.30 # Initial clauses : 557
% 6.09/1.30 # Removed in clause preprocessing : 0
% 6.09/1.30 # Initial clauses in saturation : 557
% 6.09/1.30 # Processed clauses : 7184
% 6.09/1.30 # ...of these trivial : 237
% 6.09/1.30 # ...subsumed : 4737
% 6.09/1.30 # ...remaining for further processing : 2210
% 6.09/1.30 # Other redundant clauses eliminated : 65
% 6.09/1.30 # Clauses deleted for lack of memory : 0
% 6.09/1.30 # Backward-subsumed : 358
% 6.09/1.30 # Backward-rewritten : 95
% 6.09/1.30 # Generated clauses : 33157
% 6.09/1.30 # ...of the previous two non-redundant : 27486
% 6.09/1.30 # ...aggressively subsumed : 0
% 6.09/1.30 # Contextual simplify-reflections : 1
% 6.09/1.30 # Paramodulations : 33060
% 6.09/1.30 # Factorizations : 2
% 6.09/1.30 # NegExts : 0
% 6.09/1.30 # Equation resolutions : 95
% 6.09/1.30 # Total rewrite steps : 23739
% 6.09/1.30 # Propositional unsat checks : 0
% 6.09/1.30 # Propositional check models : 0
% 6.09/1.30 # Propositional check unsatisfiable : 0
% 6.09/1.30 # Propositional clauses : 0
% 6.09/1.30 # Propositional clauses after purity: 0
% 6.09/1.30 # Propositional unsat core size : 0
% 6.09/1.30 # Propositional preprocessing time : 0.000
% 6.09/1.30 # Propositional encoding time : 0.000
% 6.09/1.30 # Propositional solver time : 0.000
% 6.09/1.30 # Success case prop preproc time : 0.000
% 6.09/1.30 # Success case prop encoding time : 0.000
% 6.09/1.30 # Success case prop solver time : 0.000
% 6.09/1.30 # Current number of processed clauses : 1324
% 6.09/1.30 # Positive orientable unit clauses : 365
% 6.09/1.30 # Positive unorientable unit clauses: 8
% 6.09/1.30 # Negative unit clauses : 206
% 6.09/1.30 # Non-unit-clauses : 745
% 6.09/1.30 # Current number of unprocessed clauses: 20726
% 6.09/1.30 # ...number of literals in the above : 41831
% 6.09/1.30 # Current number of archived formulas : 0
% 6.09/1.30 # Current number of archived clauses : 886
% 6.09/1.30 # Clause-clause subsumption calls (NU) : 198682
% 6.09/1.30 # Rec. Clause-clause subsumption calls : 151209
% 6.09/1.30 # Non-unit clause-clause subsumptions : 2301
% 6.09/1.30 # Unit Clause-clause subsumption calls : 24706
% 6.09/1.30 # Rewrite failures with RHS unbound : 8
% 6.09/1.30 # BW rewrite match attempts : 3542
% 6.09/1.30 # BW rewrite match successes : 185
% 6.09/1.30 # Condensation attempts : 0
% 6.09/1.30 # Condensation successes : 0
% 6.09/1.30 # Termbank termtop insertions : 577278
% 6.09/1.30
% 6.09/1.30 # -------------------------------------------------
% 6.09/1.30 # User time : 0.747 s
% 6.09/1.30 # System time : 0.025 s
% 6.09/1.30 # Total time : 0.772 s
% 6.09/1.30 # Maximum resident set size: 2808 pages
% 6.09/1.30
% 6.09/1.30 # -------------------------------------------------
% 6.09/1.30 # User time : 3.686 s
% 6.09/1.30 # System time : 0.140 s
% 6.09/1.30 # Total time : 3.827 s
% 6.09/1.30 # Maximum resident set size: 2152 pages
% 6.09/1.30 % E---3.1 exiting
%------------------------------------------------------------------------------