%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SWV327-2 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/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 02:54:24 PM UTC 2026
% Result : Unsatisfiable 0.20s 0.68s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 17
% Syntax : Number of clauses : 62 ( 22 unt; 10 nHn; 62 RR)
% Number of literals : 121 ( 6 equ; 56 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 33 ( 33 usr; 16 con; 0-3 aty)
% Number of variables : 93 ( 14 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_Event_OSays__imp__analz__Spy__dest_0,axiom,
( ~ c_in(c_Event_Oevent_OSays(X1,X2,X3),c_List_Oset(X4,tc_Event_Oevent),tc_Event_Oevent)
| c_in(X3,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X4)),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Event_OSays__imp__analz__Spy__dest_0) ).
cnf(cls_OtwayRees_OGets__imp__Says__dest_0,axiom,
( ~ c_in(c_Event_Oevent_OGets(X2,X3),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(X1,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))
| c_in(c_Event_Oevent_OSays(v_sko__usf(X2,X3,X1),X2,X3),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_OtwayRees_OGets__imp__Says__dest_0) ).
cnf(cls_Message_OMPair__synth__analz__iff1_0,axiom,
( ~ c_in(c_Message_Omsg_OMPair(X1,X2),c_Message_Osynth(c_Message_Oanalz(X3)),tc_Message_Omsg)
| c_in(X1,c_Message_Osynth(c_Message_Oanalz(X3)),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_OMPair__synth__analz__iff1_0) ).
cnf(cls_Message_Osynth_OInj_0,axiom,
( ~ c_in(X1,X2,tc_Message_Omsg)
| c_in(X1,c_Message_Osynth(X2),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Osynth_OInj_0) ).
cnf(cls_Message_OMPair__analz_0,axiom,
( ~ c_in(c_Message_Omsg_OMPair(X1,X2),c_Message_Oanalz(X3),tc_Message_Omsg)
| c_in(X2,c_Message_Oanalz(X3),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_OMPair__analz_0) ).
cnf(cls_conjecture_4,negated_conjecture,
c_in(c_Event_Oevent_OGets(v_Ba,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(v_X,c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OKey(v_K)))))),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_4) ).
cnf(cls_conjecture_1,negated_conjecture,
c_in(v_evs4,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
cnf(cls_Message_OFake__parts__insert__in__Un__dest_0,axiom,
( ~ c_in(X2,c_Message_Osynth(c_Message_Oanalz(X3)),tc_Message_Omsg)
| ~ c_in(X1,c_Message_Oparts(c_insert(X2,X3,tc_Message_Omsg)),tc_Message_Omsg)
| c_in(X1,c_union(c_Message_Osynth(c_Message_Oanalz(X3)),c_Message_Oparts(X3),tc_Message_Omsg),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_OFake__parts__insert__in__Un__dest_0) ).
cnf(cls_Set_OUnE_0,axiom,
( ~ c_in(X1,c_union(X2,X3,X4),X4)
| c_in(X1,X2,X4)
| c_in(X1,X3,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OUnE_0) ).
cnf(cls_conjecture_6,negated_conjecture,
c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))),c_Message_Oparts(c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4),tc_Message_Omsg)),tc_Message_Omsg),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_6) ).
cnf(cls_conjecture_5,negated_conjecture,
c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_C)))),c_Message_Oparts(c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4),tc_Message_Omsg)),tc_Message_Omsg),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_5) ).
cnf(cls_conjecture_8,negated_conjecture,
( ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_C)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg)
| v_B = v_C ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_8) ).
cnf(cls_conjecture_7,negated_conjecture,
v_B != v_C,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_7) ).
cnf(cls_Message_OCrypt__synth_0,axiom,
( ~ c_in(c_Message_Omsg_OCrypt(X1,X2),c_Message_Osynth(X3),tc_Message_Omsg)
| c_in(c_Message_Omsg_OKey(X1),X3,tc_Message_Omsg)
| c_in(c_Message_Omsg_OCrypt(X1,X2),X3,tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_OCrypt__synth_0) ).
cnf(cls_Message_Oanalz__into__parts__dest_0,axiom,
( ~ c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg)
| c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Oanalz__into__parts__dest_0) ).
cnf(cls_OtwayRees_OSpy__see__shrK__D__dest_0,axiom,
( ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(X2)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg)
| ~ c_in(X1,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))
| c_in(X2,c_Event_Obad,tc_Message_Oagent) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_OtwayRees_OSpy__see__shrK__D__dest_0) ).
cnf(cls_conjecture_0,negated_conjecture,
~ c_in(v_A,c_Event_Obad,tc_Message_Oagent),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(c_0_17,plain,
( ~ c_in(c_Event_Oevent_OSays(X1,X2,X3),c_List_Oset(X4,tc_Event_Oevent),tc_Event_Oevent)
| c_in(X3,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X4)),tc_Message_Omsg) ),
inference(fof_simplification,[status(thm)],[cls_Event_OSays__imp__analz__Spy__dest_0]) ).
cnf(c_0_18,plain,
( ~ c_in(c_Event_Oevent_OGets(X2,X3),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(X1,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))
| c_in(c_Event_Oevent_OSays(v_sko__usf(X2,X3,X1),X2,X3),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent) ),
inference(fof_simplification,[status(thm)],[cls_OtwayRees_OGets__imp__Says__dest_0]) ).
cnf(c_0_19,plain,
( ~ c_in(c_Event_Oevent_OSays(X1,X2,X3),c_List_Oset(X4,tc_Event_Oevent),tc_Event_Oevent)
| c_in(X3,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X4)),tc_Message_Omsg) ),
c_0_17 ).
cnf(c_0_20,plain,
( ~ c_in(c_Event_Oevent_OGets(X2,X3),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(X1,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))
| c_in(c_Event_Oevent_OSays(v_sko__usf(X2,X3,X1),X2,X3),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent) ),
c_0_18 ).
cnf(c_0_21,plain,
( ~ c_in(c_Message_Omsg_OMPair(X1,X2),c_Message_Osynth(c_Message_Oanalz(X3)),tc_Message_Omsg)
| c_in(X1,c_Message_Osynth(c_Message_Oanalz(X3)),tc_Message_Omsg) ),
inference(fof_simplification,[status(thm)],[cls_Message_OMPair__synth__analz__iff1_0]) ).
cnf(c_0_22,plain,
( ~ c_in(X1,X2,tc_Message_Omsg)
| c_in(X1,c_Message_Osynth(X2),tc_Message_Omsg) ),
inference(fof_simplification,[status(thm)],[cls_Message_Osynth_OInj_0]) ).
cnf(c_0_23,plain,
( ~ c_in(c_Message_Omsg_OMPair(X1,X2),c_Message_Oanalz(X3),tc_Message_Omsg)
| c_in(X2,c_Message_Oanalz(X3),tc_Message_Omsg) ),
inference(fof_simplification,[status(thm)],[cls_Message_OMPair__analz_0]) ).
cnf(c_0_24,plain,
( ~ c_in(X2,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(c_Event_Oevent_OGets(X3,X1),c_List_Oset(X2,tc_Event_Oevent),tc_Event_Oevent)
| c_in(X1,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg) ),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_25,negated_conjecture,
c_in(c_Event_Oevent_OGets(v_Ba,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(v_X,c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OKey(v_K)))))),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent),
cls_conjecture_4 ).
cnf(c_0_26,negated_conjecture,
c_in(v_evs4,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)),
cls_conjecture_1 ).
cnf(c_0_27,plain,
( ~ c_in(c_Message_Omsg_OMPair(X1,X2),c_Message_Osynth(c_Message_Oanalz(X3)),tc_Message_Omsg)
| c_in(X1,c_Message_Osynth(c_Message_Oanalz(X3)),tc_Message_Omsg) ),
c_0_21 ).
cnf(c_0_28,plain,
( ~ c_in(X1,X2,tc_Message_Omsg)
| c_in(X1,c_Message_Osynth(X2),tc_Message_Omsg) ),
c_0_22 ).
cnf(c_0_29,plain,
( ~ c_in(c_Message_Omsg_OMPair(X1,X2),c_Message_Oanalz(X3),tc_Message_Omsg)
| c_in(X2,c_Message_Oanalz(X3),tc_Message_Omsg) ),
c_0_23 ).
cnf(c_0_30,negated_conjecture,
c_in(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(v_X,c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OKey(v_K))))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_26])]) ).
cnf(c_0_31,plain,
( ~ c_in(X2,c_Message_Osynth(c_Message_Oanalz(X3)),tc_Message_Omsg)
| ~ c_in(X1,c_Message_Oparts(c_insert(X2,X3,tc_Message_Omsg)),tc_Message_Omsg)
| c_in(X1,c_union(c_Message_Osynth(c_Message_Oanalz(X3)),c_Message_Oparts(X3),tc_Message_Omsg),tc_Message_Omsg) ),
inference(fof_simplification,[status(thm)],[cls_Message_OFake__parts__insert__in__Un__dest_0]) ).
cnf(c_0_32,plain,
( ~ c_in(c_Message_Omsg_OMPair(X1,X3),c_Message_Oanalz(X2),tc_Message_Omsg)
| c_in(X1,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg) ),
inference(spm,[status(thm)],[c_0_27,c_0_28]) ).
cnf(c_0_33,negated_conjecture,
c_in(c_Message_Omsg_OMPair(v_X,c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OKey(v_K)))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg),
inference(spm,[status(thm)],[c_0_29,c_0_30]) ).
cnf(c_0_34,plain,
( ~ c_in(X1,c_union(X2,X3,X4),X4)
| c_in(X1,X2,X4)
| c_in(X1,X3,X4) ),
inference(fof_simplification,[status(thm)],[cls_Set_OUnE_0]) ).
cnf(c_0_35,plain,
( ~ c_in(X2,c_Message_Osynth(c_Message_Oanalz(X3)),tc_Message_Omsg)
| ~ c_in(X1,c_Message_Oparts(c_insert(X2,X3,tc_Message_Omsg)),tc_Message_Omsg)
| c_in(X1,c_union(c_Message_Osynth(c_Message_Oanalz(X3)),c_Message_Oparts(X3),tc_Message_Omsg),tc_Message_Omsg) ),
c_0_31 ).
cnf(c_0_36,negated_conjecture,
c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))),c_Message_Oparts(c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4),tc_Message_Omsg)),tc_Message_Omsg),
cls_conjecture_6 ).
cnf(c_0_37,negated_conjecture,
c_in(v_X,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4))),tc_Message_Omsg),
inference(spm,[status(thm)],[c_0_32,c_0_33]) ).
cnf(c_0_38,negated_conjecture,
c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_C)))),c_Message_Oparts(c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4),tc_Message_Omsg)),tc_Message_Omsg),
cls_conjecture_5 ).
cnf(c_0_39,negated_conjecture,
( ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_C)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg)
| v_B = v_C ),
inference(fof_simplification,[status(thm)],[cls_conjecture_8]) ).
cnf(c_0_40,negated_conjecture,
v_B != v_C,
inference(fof_simplification,[status(thm)],[cls_conjecture_7]) ).
cnf(c_0_41,plain,
( ~ c_in(c_Message_Omsg_OCrypt(X1,X2),c_Message_Osynth(X3),tc_Message_Omsg)
| c_in(c_Message_Omsg_OKey(X1),X3,tc_Message_Omsg)
| c_in(c_Message_Omsg_OCrypt(X1,X2),X3,tc_Message_Omsg) ),
inference(fof_simplification,[status(thm)],[cls_Message_OCrypt__synth_0]) ).
cnf(c_0_42,plain,
( ~ c_in(X1,c_union(X2,X3,X4),X4)
| c_in(X1,X2,X4)
| c_in(X1,X3,X4) ),
c_0_34 ).
cnf(c_0_43,negated_conjecture,
c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))),c_union(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg),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_44,plain,
( ~ c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg)
| c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg) ),
inference(fof_simplification,[status(thm)],[cls_Message_Oanalz__into__parts__dest_0]) ).
cnf(c_0_45,negated_conjecture,
c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_C)))),c_union(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg),tc_Message_Omsg),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_38]),c_0_37])]) ).
cnf(c_0_46,negated_conjecture,
( ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_C)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg)
| v_B = v_C ),
c_0_39 ).
cnf(c_0_47,negated_conjecture,
v_B != v_C,
c_0_40 ).
cnf(c_0_48,plain,
( ~ c_in(c_Message_Omsg_OCrypt(X1,X2),c_Message_Osynth(X3),tc_Message_Omsg)
| c_in(c_Message_Omsg_OKey(X1),X3,tc_Message_Omsg)
| c_in(c_Message_Omsg_OCrypt(X1,X2),X3,tc_Message_Omsg) ),
c_0_41 ).
cnf(c_0_49,negated_conjecture,
( c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg)
| c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))),c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4))),tc_Message_Omsg) ),
inference(spm,[status(thm)],[c_0_42,c_0_43]) ).
cnf(c_0_50,plain,
( ~ c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg)
| c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg) ),
c_0_44 ).
cnf(c_0_51,negated_conjecture,
( c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_C)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg)
| c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_C)))),c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4))),tc_Message_Omsg) ),
inference(spm,[status(thm)],[c_0_42,c_0_45]) ).
cnf(c_0_52,negated_conjecture,
( ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_C)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg) ),
inference(sr,[status(thm)],[c_0_46,c_0_47]) ).
cnf(c_0_53,negated_conjecture,
( c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg)
| c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_49]),c_0_50]) ).
cnf(c_0_54,negated_conjecture,
( c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg)
| c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_C)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_51]),c_0_50]) ).
cnf(c_0_55,plain,
( ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(X2)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg)
| ~ c_in(X1,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))
| c_in(X2,c_Event_Obad,tc_Message_Oagent) ),
inference(fof_simplification,[status(thm)],[cls_OtwayRees_OSpy__see__shrK__D__dest_0]) ).
cnf(c_0_56,negated_conjecture,
c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_53]),c_0_54]) ).
cnf(c_0_57,negated_conjecture,
~ c_in(v_A,c_Event_Obad,tc_Message_Oagent),
inference(fof_simplification,[status(thm)],[cls_conjecture_0]) ).
cnf(c_0_58,plain,
( ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(X2)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg)
| ~ c_in(X1,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))
| c_in(X2,c_Event_Obad,tc_Message_Oagent) ),
c_0_55 ).
cnf(c_0_59,negated_conjecture,
c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg),
inference(spm,[status(thm)],[c_0_50,c_0_56]) ).
cnf(c_0_60,negated_conjecture,
~ c_in(v_A,c_Event_Obad,tc_Message_Oagent),
c_0_57 ).
cnf(c_0_61,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_59]),c_0_26])]),c_0_60]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SWV327-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.07 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.15/0.57 % Computer : n007.cluster.edu
% 0.15/0.57 % Model : x86_64 x86_64
% 0.15/0.57 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.57 % Memory : 8046.5625MB
% 0.15/0.57 % OS : Linux 6.8.0-71-generic
% 0.15/0.57 % CPULimit : 300
% 0.15/0.57 % WCLimit : 300
% 0.15/0.57 % DateTime : Mon Sep 21 08:39:21 UTC 2026
% 0.15/0.58 % CPUTime :
% 0.15/0.58 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.20/0.65 Running first-order theorem proving
% 0.20/0.65 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/benchmark/theBenchmark.p
% 0.20/0.68 % Version: 3.5.1
% 0.20/0.68 % Preprocessing class: FSMSSMSMSSSNFFN.
% 0.20/0.68 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.68 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 0.20/0.68 % Starting new_bool_3 with 300s (1) cores
% 0.20/0.68 % Starting new_bool_1 with 300s (1) cores
% 0.20/0.68 % Starting sh5l with 300s (1) cores
% 0.20/0.68 % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with pid 683097 completed with status 0
% 0.20/0.68 % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI
% 0.20/0.68 % Preprocessing class: FSMSSMSMSSSNFFN.
% 0.20/0.68 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.68 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 0.20/0.68 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.20/0.68 % No SInE strategy applied
% 0.20/0.68 % Search class: FGUSF-FFMS31-DFFFFFNN
% 0.20/0.68 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.20/0.68 % Starting SubtermCWHack with 136s (1) cores
% 0.20/0.68 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 151s (1) cores
% 0.20/0.68 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 136s (1) cores
% 0.20/0.68 % Starting new_bool_3 with 136s (1) cores
% 0.20/0.68 % Starting new_bool_1 with 136s (1) cores
% 0.20/0.68 % G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with pid 683104 completed with status 0
% 0.20/0.68 % Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y
% 0.20/0.68 % Preprocessing class: FSMSSMSMSSSNFFN.
% 0.20/0.68 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.68 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 0.20/0.68 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.20/0.68 % No SInE strategy applied
% 0.20/0.68 % Search class: FGUSF-FFMS31-DFFFFFNN
% 0.20/0.68 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.20/0.68 % Starting SubtermCWHack with 136s (1) cores
% 0.20/0.68 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 151s (1) cores
% 0.20/0.68 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 136s (1) cores
% 0.20/0.68 % Preprocessing time : 0.001 s
% 0.20/0.68 % Presaturation interreduction done
% 0.20/0.68
% 0.20/0.68 % Proof found!
% 0.20/0.68 % SZS status Unsatisfiable
% 0.20/0.68 % SZS output start CNFRefutation
% See solution above
% 0.20/0.68 % Parsed axioms : 17
% 0.20/0.68 % Removed by relevancy pruning/SinE : 0
% 0.20/0.68 % Initial clauses : 17
% 0.20/0.68 % Removed in clause preprocessing : 0
% 0.20/0.68 % Initial clauses in saturation : 17
% 0.20/0.68 % Processed clauses : 52
% 0.20/0.68 % ...of these trivial : 0
% 0.20/0.68 % ...subsumed : 0
% 0.20/0.68 % ...remaining for further processing : 52
% 0.20/0.68 % Other redundant clauses eliminated : 0
% 0.20/0.68 % Clauses deleted for lack of memory : 0
% 0.20/0.68 % Backward-subsumed : 0
% 0.20/0.68 % Backward-rewritten : 2
% 0.20/0.68 % Generated clauses : 20
% 0.20/0.68 % ...of the previous two non-redundant : 18
% 0.20/0.68 % ...aggressively subsumed : 0
% 0.20/0.68 % Contextual simplify-reflections : 3
% 0.20/0.68 % Paramodulations : 20
% 0.20/0.68 % Factorizations : 0
% 0.20/0.68 % NegExts : 0
% 0.20/0.68 % Equation resolutions : 0
% 0.20/0.68 % Disequality decompositions : 0
% 0.20/0.68 % Total rewrite steps : 6
% 0.20/0.68 % ...of those cached : 3
% 0.20/0.68 % Propositional unsat checks : 0
% 0.20/0.68 % Propositional check models : 0
% 0.20/0.68 % Propositional check unsatisfiable : 0
% 0.20/0.68 % Propositional clauses : 0
% 0.20/0.68 % Propositional clauses after purity: 0
% 0.20/0.68 % Propositional unsat core size : 0
% 0.20/0.68 % Propositional preprocessing time : 0.000
% 0.20/0.68 % Propositional encoding time : 0.000
% 0.20/0.68 % Propositional solver time : 0.000
% 0.20/0.68 % Success case prop preproc time : 0.000
% 0.20/0.68 % Success case prop encoding time : 0.000
% 0.20/0.68 % Success case prop solver time : 0.000
% 0.20/0.68 % Current number of processed clauses : 33
% 0.20/0.68 % Positive orientable unit clauses : 16
% 0.20/0.68 % Positive unorientable unit clauses: 0
% 0.20/0.68 % Negative unit clauses : 2
% 0.20/0.68 % Non-unit-clauses : 15
% 0.20/0.68 % Current number of unprocessed clauses: 0
% 0.20/0.68 % ...number of literals in the above : 0
% 0.20/0.68 % Current number of archived formulas : 0
% 0.20/0.68 % Current number of archived clauses : 19
% 0.20/0.68 % Clause-clause subsumption calls (NU) : 113
% 0.20/0.68 % Rec. Clause-clause subsumption calls : 109
% 0.20/0.68 % Non-unit clause-clause subsumptions : 3
% 0.20/0.68 % Unit Clause-clause subsumption calls : 6
% 0.20/0.68 % Rewrite failures with RHS unbound : 0
% 0.20/0.68 % BW rewrite match attempts : 7
% 0.20/0.68 % BW rewrite match successes : 1
% 0.20/0.68 % Condensation attempts : 0
% 0.20/0.68 % Condensation successes : 0
% 0.20/0.68 % Termbank termtop insertions : 1463
% 0.20/0.68 % Search garbage collected termcells : 46
% 0.20/0.68
% 0.20/0.68 % -------------------------------------------------
% 0.20/0.68 % User time : 0.003 s
% 0.20/0.68 % System time : 0.007 s
% 0.20/0.68 % Total time : 0.010 s
% 0.20/0.68 % Maximum resident set size: 3656 pages
% 0.20/0.68
% 0.20/0.68 % -------------------------------------------------
% 0.20/0.68 % User time : 0.023 s
% 0.20/0.68 % System time : 0.025 s
% 0.20/0.68 % Total time : 0.047 s
% 0.20/0.68 % Maximum resident set size: 4864 pages
% 0.20/0.68 % E exiting
%------------------------------------------------------------------------------