%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SWV311-1 : 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 : n010.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 02:54:20 PM UTC 2026
% Result : Unsatisfiable 66.36s 10.66s
% Output : CNFRefutation 66.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 17
% Syntax : Number of clauses : 62 ( 29 unt; 6 nHn; 56 RR)
% Number of literals : 108 ( 10 equ; 48 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 11 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 31 ( 31 usr; 15 con; 0-5 aty)
% Number of variables : 104 ( 15 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_Message_Oanalz__analzD__dest_0,axiom,
( ~ c_in(X1,c_Message_Oanalz(c_Message_Oanalz(X2)),tc_Message_Omsg)
| c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV006-0.ax',cls_Message_Oanalz__analzD__dest_0) ).
cnf(cls_Set_OsubsetI_1,axiom,
( ~ c_in(c_Main_OsubsetI__1(X1,X2,X3),X2,X3)
| c_lessequals(X1,X2,tc_set(X3)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-0.ax',cls_Set_OsubsetI_1) ).
cnf(cls_Message_Oanalz_OInj_0,axiom,
( ~ c_in(X1,X2,tc_Message_Omsg)
| c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV006-0.ax',cls_Message_Oanalz_OInj_0) ).
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/Axioms/SWV006-1.ax',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/Axioms/SWV006-1.ax',cls_OtwayRees_OGets__imp__Says__dest_0) ).
cnf(cls_Set_OsubsetI_0,axiom,
( c_lessequals(X1,X2,tc_set(X3))
| c_in(c_Main_OsubsetI__1(X1,X2,X3),X1,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-0.ax',cls_Set_OsubsetI_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/Axioms/SWV006-0.ax',cls_Message_OMPair__analz_0) ).
cnf(cls_conjecture_3,negated_conjecture,
c_in(c_Event_Oevent_OGets(c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_Ba)))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_Ba)))))))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).
cnf(cls_conjecture_5,negated_conjecture,
v_NA = c_Message_Omsg_ONonce(v_NAa),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_5) ).
cnf(cls_conjecture_10,negated_conjecture,
v_NB = c_Message_Omsg_ONonce(v_NBa),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_10) ).
cnf(cls_Set_Osubset__antisym_0,axiom,
( ~ c_lessequals(X2,X1,tc_set(X3))
| ~ c_lessequals(X1,X2,tc_set(X3))
| X2 = X1 ),
file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-0.ax',cls_Set_Osubset__antisym_0) ).
cnf(cls_conjecture_1,negated_conjecture,
c_in(v_evs3,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
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/Axioms/SWV006-1.ax',cls_Message_Oanalz__into__parts__dest_0) ).
cnf(cls_conjecture_12,negated_conjecture,
~ c_in(c_Event_Oevent_OSays(v_Ba,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(X1,c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_Ba)))))))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_12) ).
cnf(cls_conjecture_0,negated_conjecture,
~ c_in(v_B,c_Event_Obad,tc_Message_Oagent),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(cls_OtwayRees_OCrypt__imp__OR2__dest_0,axiom,
( ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X2),c_Message_Omsg_OMPair(X3,c_Message_Omsg_OMPair(X4,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X5),c_Message_Omsg_OAgent(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(c_Event_Oevent_OSays(X2,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(X3,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X5),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(v_sko__u__1(X5,X2,X3,X4,X1),c_Message_Omsg_OCrypt(c_Public_OshrK(X2),c_Message_Omsg_OMPair(X3,c_Message_Omsg_OMPair(X4,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X5),c_Message_Omsg_OAgent(X2)))))))))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)
| c_in(X2,c_Event_Obad,tc_Message_Oagent) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_OtwayRees_OCrypt__imp__OR2__dest_0) ).
cnf(cls_conjecture_4,negated_conjecture,
v_B = v_Ba,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_4) ).
cnf(c_0_17,plain,
( ~ c_in(X1,c_Message_Oanalz(c_Message_Oanalz(X2)),tc_Message_Omsg)
| c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg) ),
inference(fof_simplification,[status(thm)],[cls_Message_Oanalz__analzD__dest_0]) ).
cnf(c_0_18,plain,
( ~ c_in(c_Main_OsubsetI__1(X1,X2,X3),X2,X3)
| c_lessequals(X1,X2,tc_set(X3)) ),
inference(fof_simplification,[status(thm)],[cls_Set_OsubsetI_1]) ).
cnf(c_0_19,plain,
( ~ c_in(X1,X2,tc_Message_Omsg)
| c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg) ),
inference(fof_simplification,[status(thm)],[cls_Message_Oanalz_OInj_0]) ).
cnf(c_0_20,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_21,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_22,plain,
( ~ c_in(X1,c_Message_Oanalz(c_Message_Oanalz(X2)),tc_Message_Omsg)
| c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg) ),
c_0_17 ).
cnf(c_0_23,axiom,
( c_lessequals(X1,X2,tc_set(X3))
| c_in(c_Main_OsubsetI__1(X1,X2,X3),X1,X3) ),
cls_Set_OsubsetI_0 ).
cnf(c_0_24,plain,
( ~ c_in(c_Main_OsubsetI__1(X1,X2,X3),X2,X3)
| c_lessequals(X1,X2,tc_set(X3)) ),
c_0_18 ).
cnf(c_0_25,plain,
( ~ c_in(X1,X2,tc_Message_Omsg)
| c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg) ),
c_0_19 ).
cnf(c_0_26,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_27,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_20 ).
cnf(c_0_28,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_21 ).
cnf(c_0_29,negated_conjecture,
c_in(c_Event_Oevent_OGets(c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_Ba)))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_Ba)))))))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent),
cls_conjecture_3 ).
cnf(c_0_30,negated_conjecture,
v_NA = c_Message_Omsg_ONonce(v_NAa),
cls_conjecture_5 ).
cnf(c_0_31,negated_conjecture,
v_NB = c_Message_Omsg_ONonce(v_NBa),
cls_conjecture_10 ).
cnf(c_0_32,plain,
( ~ c_lessequals(X2,X1,tc_set(X3))
| ~ c_lessequals(X1,X2,tc_set(X3))
| X2 = X1 ),
inference(fof_simplification,[status(thm)],[cls_Set_Osubset__antisym_0]) ).
cnf(c_0_33,plain,
( c_in(c_Main_OsubsetI__1(c_Message_Oanalz(c_Message_Oanalz(X1)),X2,tc_Message_Omsg),c_Message_Oanalz(X1),tc_Message_Omsg)
| c_lessequals(c_Message_Oanalz(c_Message_Oanalz(X1)),X2,tc_set(tc_Message_Omsg)) ),
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
cnf(c_0_34,plain,
( ~ c_in(c_Main_OsubsetI__1(X1,c_Message_Oanalz(X2),tc_Message_Omsg),X2,tc_Message_Omsg)
| c_lessequals(X1,c_Message_Oanalz(X2),tc_set(tc_Message_Omsg)) ),
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_35,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_26 ).
cnf(c_0_36,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_27,c_0_28]) ).
cnf(c_0_37,negated_conjecture,
c_in(c_Event_Oevent_OGets(c_Message_Oagent_OServer,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_Ba)))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_Ba)))))))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_29,c_0_30]),c_0_30]),c_0_30]),c_0_31]) ).
cnf(c_0_38,negated_conjecture,
c_in(v_evs3,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)),
cls_conjecture_1 ).
cnf(c_0_39,plain,
( ~ c_lessequals(X2,X1,tc_set(X3))
| ~ c_lessequals(X1,X2,tc_set(X3))
| X2 = X1 ),
c_0_32 ).
cnf(c_0_40,plain,
c_lessequals(c_Message_Oanalz(c_Message_Oanalz(X1)),c_Message_Oanalz(X1),tc_set(tc_Message_Omsg)),
inference(spm,[status(thm)],[c_0_24,c_0_33]) ).
cnf(c_0_41,plain,
c_lessequals(X1,c_Message_Oanalz(X1),tc_set(tc_Message_Omsg)),
inference(spm,[status(thm)],[c_0_34,c_0_23]) ).
cnf(c_0_42,plain,
( ~ c_in(c_Message_Omsg_OMPair(X3,X1),X2,tc_Message_Omsg)
| c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg) ),
inference(spm,[status(thm)],[c_0_35,c_0_25]) ).
cnf(c_0_43,negated_conjecture,
c_in(c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_Ba)))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_Ba))))))))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_37]),c_0_38])]) ).
cnf(c_0_44,plain,
c_Message_Oanalz(c_Message_Oanalz(X1)) = c_Message_Oanalz(X1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_40]),c_0_41])]) ).
cnf(c_0_45,negated_conjecture,
c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_Ba)))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_Ba)))))))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_43]),c_0_44]) ).
cnf(c_0_46,negated_conjecture,
c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_Ba)))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_Ba))))))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_45]),c_0_44]) ).
cnf(c_0_47,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_48,negated_conjecture,
c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_Ba)))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_Ba)))))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_46]),c_0_44]) ).
cnf(c_0_49,negated_conjecture,
~ c_in(c_Event_Oevent_OSays(v_Ba,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(X1,c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_Ba)))))))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent),
inference(fof_simplification,[status(thm)],[cls_conjecture_12]) ).
cnf(c_0_50,negated_conjecture,
~ c_in(v_B,c_Event_Obad,tc_Message_Oagent),
inference(fof_simplification,[status(thm)],[cls_conjecture_0]) ).
cnf(c_0_51,plain,
( ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X2),c_Message_Omsg_OMPair(X3,c_Message_Omsg_OMPair(X4,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X5),c_Message_Omsg_OAgent(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(c_Event_Oevent_OSays(X2,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(X3,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X5),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(v_sko__u__1(X5,X2,X3,X4,X1),c_Message_Omsg_OCrypt(c_Public_OshrK(X2),c_Message_Omsg_OMPair(X3,c_Message_Omsg_OMPair(X4,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X5),c_Message_Omsg_OAgent(X2)))))))))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)
| c_in(X2,c_Event_Obad,tc_Message_Oagent) ),
inference(fof_simplification,[status(thm)],[cls_OtwayRees_OCrypt__imp__OR2__dest_0]) ).
cnf(c_0_52,plain,
( ~ c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg)
| c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg) ),
c_0_47 ).
cnf(c_0_53,negated_conjecture,
c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_Ba))))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_48]),c_0_44]) ).
cnf(c_0_54,negated_conjecture,
~ c_in(c_Event_Oevent_OSays(v_Ba,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(X1,c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_Ba)))))))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent),
c_0_49 ).
cnf(c_0_55,negated_conjecture,
~ c_in(v_B,c_Event_Obad,tc_Message_Oagent),
c_0_50 ).
cnf(c_0_56,negated_conjecture,
v_B = v_Ba,
cls_conjecture_4 ).
cnf(c_0_57,plain,
( ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X2),c_Message_Omsg_OMPair(X3,c_Message_Omsg_OMPair(X4,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X5),c_Message_Omsg_OAgent(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(c_Event_Oevent_OSays(X2,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(X3,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X5),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(v_sko__u__1(X5,X2,X3,X4,X1),c_Message_Omsg_OCrypt(c_Public_OshrK(X2),c_Message_Omsg_OMPair(X3,c_Message_Omsg_OMPair(X4,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X5),c_Message_Omsg_OAgent(X2)))))))))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)
| c_in(X2,c_Event_Obad,tc_Message_Oagent) ),
c_0_51 ).
cnf(c_0_58,negated_conjecture,
c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_Ba))))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg),
inference(spm,[status(thm)],[c_0_52,c_0_53]) ).
cnf(c_0_59,negated_conjecture,
~ c_in(c_Event_Oevent_OSays(v_Ba,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(X1,c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_Ba)))))))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_54,c_0_30]),c_0_30]),c_0_31]) ).
cnf(c_0_60,negated_conjecture,
~ c_in(v_Ba,c_Event_Obad,tc_Message_Oagent),
inference(rw,[status(thm)],[c_0_55,c_0_56]) ).
cnf(c_0_61,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_58]),c_0_38])]),c_0_59]),c_0_60]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SWV311-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.08 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.21/0.47 % Computer : n010.cluster.edu
% 0.21/0.47 % Model : x86_64 x86_64
% 0.21/0.47 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.21/0.47 % Memory : 8046.5625MB
% 0.21/0.47 % OS : Linux 6.8.0-71-generic
% 0.21/0.47 % CPULimit : 300
% 0.21/0.47 % WCLimit : 300
% 0.21/0.47 % DateTime : Mon Sep 21 08:40:10 UTC 2026
% 0.21/0.48 % CPUTime :
% 0.21/0.48 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.25/0.57 Running first-order theorem proving
% 0.25/0.57 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
% 66.36/10.66 % Version: 3.5.1
% 66.36/10.66 % Preprocessing class: FMLMSMSMSSSNFFN.
% 66.36/10.66 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 66.36/10.66 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 66.36/10.66 % Starting new_bool_3 with 300s (1) cores
% 66.36/10.66 % Starting new_bool_1 with 300s (1) cores
% 66.36/10.66 % Starting sh5l with 300s (1) cores
% 66.36/10.66 % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 504183 completed with status 0
% 66.36/10.66 % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 66.36/10.66 % Preprocessing class: FMLMSMSMSSSNFFN.
% 66.36/10.66 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 66.36/10.66 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 66.36/10.66 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 66.36/10.66 % No SInE strategy applied
% 66.36/10.66 % Search class: FGHSM-SSLM32-DFFFFFNN
% 66.36/10.66 % Scheduled 13 strats onto 5 cores with 1500 seconds (1500 total)
% 66.36/10.66 % Starting SubtermCWHack with 136s (1) cores
% 66.36/10.66 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 66.36/10.66 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2mI with 113s (1) cores
% 66.36/10.66 % Starting G-E--_208_B07_F1_SE_CS_SP_PS_S4d with 113s (1) cores
% 66.36/10.66 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AI with 113s (1) cores
% 66.36/10.66 % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 504191 completed with status 0
% 66.36/10.66 % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 66.36/10.66 % Preprocessing class: FMLMSMSMSSSNFFN.
% 66.36/10.66 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 66.36/10.66 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 66.36/10.66 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 66.36/10.66 % No SInE strategy applied
% 66.36/10.66 % Search class: FGHSM-SSLM32-DFFFFFNN
% 66.36/10.66 % Scheduled 13 strats onto 5 cores with 1500 seconds (1500 total)
% 66.36/10.66 % Starting SubtermCWHack with 136s (1) cores
% 66.36/10.66 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 66.36/10.66 % Preprocessing time : 0.016 s
% 66.36/10.66 % Presaturation interreduction done
% 66.36/10.66
% 66.36/10.66 % Proof found!
% 66.36/10.66 % SZS status Unsatisfiable
% 66.36/10.66 % SZS output start CNFRefutation
% See solution above
% 66.36/10.66 % Parsed axioms : 1489
% 66.36/10.66 % Removed by relevancy pruning/SinE : 0
% 66.36/10.66 % Initial clauses : 1489
% 66.36/10.66 % Removed in clause preprocessing : 3
% 66.36/10.66 % Initial clauses in saturation : 1486
% 66.36/10.66 % Processed clauses : 15789
% 66.36/10.66 % ...of these trivial : 2194
% 66.36/10.66 % ...subsumed : 7517
% 66.36/10.66 % ...remaining for further processing : 6078
% 66.36/10.66 % Other redundant clauses eliminated : 116
% 66.36/10.66 % Clauses deleted for lack of memory : 0
% 66.36/10.66 % Backward-subsumed : 128
% 66.36/10.66 % Backward-rewritten : 344
% 66.36/10.66 % Generated clauses : 184840
% 66.36/10.66 % ...of the previous two non-redundant : 171959
% 66.36/10.66 % ...aggressively subsumed : 0
% 66.36/10.66 % Contextual simplify-reflections : 10
% 66.36/10.66 % Paramodulations : 184656
% 66.36/10.66 % Factorizations : 16
% 66.36/10.66 % NegExts : 0
% 66.36/10.66 % Equation resolutions : 168
% 66.36/10.66 % Disequality decompositions : 0
% 66.36/10.66 % Total rewrite steps : 86792
% 66.36/10.66 % ...of those cached : 82486
% 66.36/10.66 % Propositional unsat checks : 1
% 66.36/10.66 % Propositional check models : 0
% 66.36/10.66 % Propositional check unsatisfiable : 0
% 66.36/10.66 % Propositional clauses : 0
% 66.36/10.66 % Propositional clauses after purity: 0
% 66.36/10.66 % Propositional unsat core size : 0
% 66.36/10.66 % Propositional preprocessing time : 0.000
% 66.36/10.66 % Propositional encoding time : 0.400
% 66.36/10.66 % Propositional solver time : 0.330
% 66.36/10.66 % Success case prop preproc time : 0.000
% 66.36/10.66 % Success case prop encoding time : 0.000
% 66.36/10.66 % Success case prop solver time : 0.000
% 66.36/10.66 % Current number of processed clauses : 4179
% 66.36/10.66 % Positive orientable unit clauses : 720
% 66.36/10.66 % Positive unorientable unit clauses: 0
% 66.36/10.66 % Negative unit clauses : 332
% 66.36/10.66 % Non-unit-clauses : 3127
% 66.36/10.66 % Current number of unprocessed clauses: 145869
% 66.36/10.66 % ...number of literals in the above : 317500
% 66.36/10.66 % Current number of archived formulas : 0
% 66.36/10.66 % Current number of archived clauses : 1900
% 66.36/10.66 % Clause-clause subsumption calls (NU) : 4591727
% 66.36/10.66 % Rec. Clause-clause subsumption calls : 4053041
% 66.36/10.66 % Non-unit clause-clause subsumptions : 5007
% 66.36/10.66 % Unit Clause-clause subsumption calls : 85762
% 66.36/10.66 % Rewrite failures with RHS unbound : 0
% 66.36/10.66 % BW rewrite match attempts : 1654
% 66.36/10.66 % BW rewrite match successes : 224
% 66.36/10.66 % Condensation attempts : 0
% 66.36/10.66 % Condensation successes : 0
% 66.36/10.66 % Termbank termtop insertions : 6491371
% 66.36/10.66 % Search garbage collected termcells : 1845
% 66.36/10.66
% 66.36/10.66 % -------------------------------------------------
% 66.36/10.66 % User time : 8.675 s
% 66.36/10.66 % System time : 0.279 s
% 66.36/10.66 % Total time : 8.955 s
% 66.36/10.66 % Maximum resident set size: 5684 pages
% 66.36/10.66
% 66.36/10.66 % -------------------------------------------------
% 66.36/10.66 % User time : 44.753 s
% 66.36/10.66 % System time : 1.676 s
% 66.36/10.66 % Total time : 46.428 s
% 66.36/10.66 % Maximum resident set size: 5632 pages
% 66.36/10.66 % E exiting
%------------------------------------------------------------------------------