%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SWV298-1 : 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 : n001.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 02:54:17 PM UTC 2026
% Result : Unsatisfiable 86.12s 13.33s
% Output : CNFRefutation 86.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 16
% Syntax : Number of clauses : 72 ( 28 unt; 7 nHn; 62 RR)
% Number of literals : 128 ( 17 equ; 56 neg)
% Maximal clause size : 5 ( 1 avg)
% Maximal term depth : 11 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 27 ( 27 usr; 14 con; 0-3 aty)
% Number of variables : 121 ( 18 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_Message_Oparts__partsD__dest_0,axiom,
( ~ c_in(X1,c_Message_Oparts(c_Message_Oparts(X2)),tc_Message_Omsg)
| c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV006-0.ax',cls_Message_Oparts__partsD__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_Oparts_OInj_0,axiom,
( ~ c_in(X1,X2,tc_Message_Omsg)
| c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV006-0.ax',cls_Message_Oparts_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_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_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_3,negated_conjecture,
c_in(c_Event_Oevent_OSays(v_A,v_B,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).
cnf(cls_Message_OMPair__parts_0,axiom,
( ~ c_in(c_Message_Omsg_OMPair(X1,X2),c_Message_Oparts(X3),tc_Message_Omsg)
| c_in(X2,c_Message_Oparts(X3),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV006-0.ax',cls_Message_OMPair__parts_0) ).
cnf(cls_conjecture_4,negated_conjecture,
c_in(c_Event_Oevent_OSays(v_Aa,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_Ba)))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),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_4) ).
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_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_Message_OMPair__parts_1,axiom,
( ~ c_in(c_Message_Omsg_OMPair(X1,X2),c_Message_Oparts(X3),tc_Message_Omsg)
| c_in(X1,c_Message_Oparts(X3),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV006-0.ax',cls_Message_OMPair__parts_1) ).
cnf(cls_OtwayRees_Ounique__NA__dest_0,axiom,
( ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X2),c_Message_Omsg_OMPair(X3,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OAgent(X5)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X2),c_Message_Omsg_OMPair(X3,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OAgent(X4)))),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))
| X5 = X4
| c_in(X2,c_Event_Obad,tc_Message_Oagent) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_OtwayRees_Ounique__NA__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(cls_conjecture_7,negated_conjecture,
( v_B != v_Ba
| X1 != c_Message_Omsg_ONonce(v_NB) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_7) ).
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(c_0_16,plain,
( ~ c_in(X1,c_Message_Oparts(c_Message_Oparts(X2)),tc_Message_Omsg)
| c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg) ),
inference(fof_simplification,[status(thm)],[cls_Message_Oparts__partsD__dest_0]) ).
cnf(c_0_17,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_18,plain,
( ~ c_in(X1,X2,tc_Message_Omsg)
| c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg) ),
inference(fof_simplification,[status(thm)],[cls_Message_Oparts_OInj_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) ),
inference(fof_simplification,[status(thm)],[cls_Event_OSays__imp__analz__Spy__dest_0]) ).
cnf(c_0_20,plain,
( ~ c_in(X1,c_Message_Oparts(c_Message_Oparts(X2)),tc_Message_Omsg)
| c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg) ),
c_0_16 ).
cnf(c_0_21,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_22,plain,
( ~ c_in(c_Main_OsubsetI__1(X1,X2,X3),X2,X3)
| c_lessequals(X1,X2,tc_set(X3)) ),
c_0_17 ).
cnf(c_0_23,plain,
( ~ c_in(X1,X2,tc_Message_Omsg)
| c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg) ),
c_0_18 ).
cnf(c_0_24,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_25,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_19 ).
cnf(c_0_26,negated_conjecture,
c_in(c_Event_Oevent_OSays(v_A,v_B,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent),
cls_conjecture_3 ).
cnf(c_0_27,plain,
( ~ c_in(c_Message_Omsg_OMPair(X1,X2),c_Message_Oparts(X3),tc_Message_Omsg)
| c_in(X2,c_Message_Oparts(X3),tc_Message_Omsg) ),
inference(fof_simplification,[status(thm)],[cls_Message_OMPair__parts_0]) ).
cnf(c_0_28,negated_conjecture,
c_in(c_Event_Oevent_OSays(v_Aa,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_Ba)))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_Ba)))))))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent),
cls_conjecture_4 ).
cnf(c_0_29,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_30,plain,
( c_in(c_Main_OsubsetI__1(c_Message_Oparts(c_Message_Oparts(X1)),X2,tc_Message_Omsg),c_Message_Oparts(X1),tc_Message_Omsg)
| c_lessequals(c_Message_Oparts(c_Message_Oparts(X1)),X2,tc_set(tc_Message_Omsg)) ),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_31,plain,
( ~ c_in(c_Main_OsubsetI__1(X1,c_Message_Oparts(X2),tc_Message_Omsg),X2,tc_Message_Omsg)
| c_lessequals(X1,c_Message_Oparts(X2),tc_set(tc_Message_Omsg)) ),
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
cnf(c_0_32,plain,
( ~ c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg)
| c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg) ),
c_0_24 ).
cnf(c_0_33,negated_conjecture,
c_in(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B))))))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg),
inference(spm,[status(thm)],[c_0_25,c_0_26]) ).
cnf(c_0_34,plain,
( ~ c_in(c_Message_Omsg_OMPair(X1,X2),c_Message_Oparts(X3),tc_Message_Omsg)
| c_in(X2,c_Message_Oparts(X3),tc_Message_Omsg) ),
c_0_27 ).
cnf(c_0_35,negated_conjecture,
c_in(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_Ba)))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_Ba))))))))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg),
inference(spm,[status(thm)],[c_0_25,c_0_28]) ).
cnf(c_0_36,plain,
( ~ c_lessequals(X2,X1,tc_set(X3))
| ~ c_lessequals(X1,X2,tc_set(X3))
| X2 = X1 ),
c_0_29 ).
cnf(c_0_37,plain,
c_lessequals(c_Message_Oparts(c_Message_Oparts(X1)),c_Message_Oparts(X1),tc_set(tc_Message_Omsg)),
inference(spm,[status(thm)],[c_0_22,c_0_30]) ).
cnf(c_0_38,plain,
c_lessequals(X1,c_Message_Oparts(X1),tc_set(tc_Message_Omsg)),
inference(spm,[status(thm)],[c_0_31,c_0_21]) ).
cnf(c_0_39,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_40,negated_conjecture,
c_in(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(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_evs3)),tc_Message_Omsg),
inference(spm,[status(thm)],[c_0_32,c_0_33]) ).
cnf(c_0_41,plain,
( ~ c_in(c_Message_Omsg_OMPair(X1,X2),c_Message_Oparts(X3),tc_Message_Omsg)
| c_in(X1,c_Message_Oparts(X3),tc_Message_Omsg) ),
inference(fof_simplification,[status(thm)],[cls_Message_OMPair__parts_1]) ).
cnf(c_0_42,plain,
( ~ c_in(c_Message_Omsg_OMPair(X3,X1),X2,tc_Message_Omsg)
| c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg) ),
inference(spm,[status(thm)],[c_0_34,c_0_23]) ).
cnf(c_0_43,negated_conjecture,
c_in(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_Ba)))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),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_32,c_0_35]) ).
cnf(c_0_44,plain,
c_Message_Oparts(c_Message_Oparts(X1)) = c_Message_Oparts(X1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_37]),c_0_38])]) ).
cnf(c_0_45,plain,
( c_in(c_Main_OsubsetI__1(c_Message_Oanalz(X1),X2,tc_Message_Omsg),c_Message_Oparts(X1),tc_Message_Omsg)
| c_lessequals(c_Message_Oanalz(X1),X2,tc_set(tc_Message_Omsg)) ),
inference(spm,[status(thm)],[c_0_32,c_0_21]) ).
cnf(c_0_46,plain,
( ~ c_in(X1,X2,tc_Message_Omsg)
| c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg) ),
c_0_39 ).
cnf(c_0_47,negated_conjecture,
c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(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_evs3)),tc_Message_Omsg),
inference(spm,[status(thm)],[c_0_34,c_0_40]) ).
cnf(c_0_48,plain,
( ~ c_in(c_Message_Omsg_OMPair(X1,X2),c_Message_Oparts(X3),tc_Message_Omsg)
| c_in(X1,c_Message_Oparts(X3),tc_Message_Omsg) ),
c_0_41 ).
cnf(c_0_49,negated_conjecture,
c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_Ba)))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_Ba)))))))),c_Message_Oparts(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_50,plain,
c_lessequals(c_Message_Oanalz(X1),c_Message_Oparts(X1),tc_set(tc_Message_Omsg)),
inference(spm,[status(thm)],[c_0_22,c_0_45]) ).
cnf(c_0_51,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_22,c_0_46]) ).
cnf(c_0_52,plain,
( ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X2),c_Message_Omsg_OMPair(X3,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OAgent(X5)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X2),c_Message_Omsg_OMPair(X3,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OAgent(X4)))),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))
| X5 = X4
| c_in(X2,c_Event_Obad,tc_Message_Oagent) ),
inference(fof_simplification,[status(thm)],[cls_OtwayRees_Ounique__NA__dest_0]) ).
cnf(c_0_53,negated_conjecture,
c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(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_evs3)),tc_Message_Omsg),
inference(spm,[status(thm)],[c_0_34,c_0_47]) ).
cnf(c_0_54,negated_conjecture,
~ c_in(v_A,c_Event_Obad,tc_Message_Oagent),
inference(fof_simplification,[status(thm)],[cls_conjecture_0]) ).
cnf(c_0_55,plain,
( ~ c_in(c_Message_Omsg_OMPair(X1,X3),X2,tc_Message_Omsg)
| c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg) ),
inference(spm,[status(thm)],[c_0_48,c_0_23]) ).
cnf(c_0_56,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_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_Ba)))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_Ba))))))),c_Message_Oparts(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_49]),c_0_44]) ).
cnf(c_0_57,plain,
( ~ c_lessequals(c_Message_Oparts(X1),c_Message_Oanalz(X1),tc_set(tc_Message_Omsg))
| c_Message_Oanalz(X1) = c_Message_Oparts(X1) ),
inference(spm,[status(thm)],[c_0_36,c_0_50]) ).
cnf(c_0_58,plain,
c_lessequals(X1,c_Message_Oanalz(X1),tc_set(tc_Message_Omsg)),
inference(spm,[status(thm)],[c_0_51,c_0_21]) ).
cnf(c_0_59,negated_conjecture,
( v_B != v_Ba
| X1 != c_Message_Omsg_ONonce(v_NB) ),
inference(fof_simplification,[status(thm)],[cls_conjecture_7]) ).
cnf(c_0_60,plain,
( ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X2),c_Message_Omsg_OMPair(X3,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OAgent(X5)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X2),c_Message_Omsg_OMPair(X3,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OAgent(X4)))),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))
| X5 = X4
| c_in(X2,c_Event_Obad,tc_Message_Oagent) ),
c_0_52 ).
cnf(c_0_61,negated_conjecture,
c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(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_evs3)),tc_Message_Omsg),
inference(spm,[status(thm)],[c_0_34,c_0_53]) ).
cnf(c_0_62,negated_conjecture,
c_in(v_evs3,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)),
cls_conjecture_1 ).
cnf(c_0_63,negated_conjecture,
~ c_in(v_A,c_Event_Obad,tc_Message_Oagent),
c_0_54 ).
cnf(c_0_64,plain,
( ~ c_in(c_Message_Omsg_OMPair(X1,X3),X2,tc_Message_Omsg)
| c_in(X1,c_Message_Oparts(c_Message_Oanalz(X2)),tc_Message_Omsg) ),
inference(spm,[status(thm)],[c_0_55,c_0_46]) ).
cnf(c_0_65,negated_conjecture,
c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_Ba)))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_Ba)))))),c_Message_Oparts(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_56]),c_0_44]) ).
cnf(c_0_66,plain,
c_Message_Oanalz(c_Message_Oparts(X1)) = c_Message_Oparts(X1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_44]),c_0_58])]) ).
cnf(c_0_67,negated_conjecture,
( v_B != v_Ba
| X1 != c_Message_Omsg_ONonce(v_NB) ),
c_0_59 ).
cnf(c_0_68,negated_conjecture,
( ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(X1)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)
| X1 = v_B ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_61]),c_0_62])]),c_0_63]) ).
cnf(c_0_69,negated_conjecture,
c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_Ba)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_65]),c_0_66]),c_0_44]) ).
cnf(c_0_70,negated_conjecture,
v_Ba != v_B,
inference(er,[status(thm)],[c_0_67]) ).
cnf(c_0_71,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_69]),c_0_70]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SWV298-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.08 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.20/0.47 % Computer : n001.cluster.edu
% 0.20/0.47 % Model : x86_64 x86_64
% 0.20/0.47 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.20/0.47 % Memory : 8046.5625MB
% 0.20/0.47 % OS : Linux 6.8.0-71-generic
% 0.20/0.47 % CPULimit : 300
% 0.20/0.47 % WCLimit : 300
% 0.20/0.47 % DateTime : Mon Sep 21 08:44:29 UTC 2026
% 0.20/0.48 % CPUTime :
% 0.20/0.48 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.24/0.53 Running first-order theorem proving
% 0.24/0.53 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
% 86.12/13.33 % Version: 3.5.1
% 86.12/13.33 % Preprocessing class: FMLMSMSMSSSNFFN.
% 86.12/13.33 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 86.12/13.33 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 86.12/13.33 % Starting new_bool_3 with 300s (1) cores
% 86.12/13.33 % Starting new_bool_1 with 300s (1) cores
% 86.12/13.33 % Starting sh5l with 300s (1) cores
% 86.12/13.33 % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 2712407 completed with status 0
% 86.12/13.33 % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 86.12/13.33 % Preprocessing class: FMLMSMSMSSSNFFN.
% 86.12/13.33 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 86.12/13.33 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 86.12/13.33 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 86.12/13.33 % No SInE strategy applied
% 86.12/13.33 % Search class: FGHSM-SSLM32-DFFFFFNN
% 86.12/13.33 % Scheduled 13 strats onto 5 cores with 1500 seconds (1500 total)
% 86.12/13.33 % Starting SubtermCWHack with 136s (1) cores
% 86.12/13.33 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 86.12/13.33 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2mI with 113s (1) cores
% 86.12/13.33 % Starting G-E--_208_B07_F1_SE_CS_SP_PS_S4d with 113s (1) cores
% 86.12/13.33 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AI with 113s (1) cores
% 86.12/13.33 % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 2712414 completed with status 0
% 86.12/13.33 % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 86.12/13.33 % Preprocessing class: FMLMSMSMSSSNFFN.
% 86.12/13.33 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 86.12/13.33 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 86.12/13.33 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 86.12/13.33 % No SInE strategy applied
% 86.12/13.33 % Search class: FGHSM-SSLM32-DFFFFFNN
% 86.12/13.33 % Scheduled 13 strats onto 5 cores with 1500 seconds (1500 total)
% 86.12/13.33 % Starting SubtermCWHack with 136s (1) cores
% 86.12/13.33 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 86.12/13.33 % Preprocessing time : 0.022 s
% 86.12/13.33 % Presaturation interreduction done
% 86.12/13.33
% 86.12/13.33 % Proof found!
% 86.12/13.33 % SZS status Unsatisfiable
% 86.12/13.33 % SZS output start CNFRefutation
% See solution above
% 86.12/13.33 % Parsed axioms : 1482
% 86.12/13.33 % Removed by relevancy pruning/SinE : 0
% 86.12/13.33 % Initial clauses : 1482
% 86.12/13.33 % Removed in clause preprocessing : 3
% 86.12/13.33 % Initial clauses in saturation : 1479
% 86.12/13.33 % Processed clauses : 23586
% 86.12/13.33 % ...of these trivial : 2616
% 86.12/13.33 % ...subsumed : 13096
% 86.12/13.33 % ...remaining for further processing : 7874
% 86.12/13.33 % Other redundant clauses eliminated : 149
% 86.12/13.33 % Clauses deleted for lack of memory : 0
% 86.12/13.33 % Backward-subsumed : 318
% 86.12/13.33 % Backward-rewritten : 580
% 86.12/13.33 % Generated clauses : 274845
% 86.12/13.33 % ...of the previous two non-redundant : 247412
% 86.12/13.33 % ...aggressively subsumed : 0
% 86.12/13.33 % Contextual simplify-reflections : 11
% 86.12/13.33 % Paramodulations : 274633
% 86.12/13.33 % Factorizations : 8
% 86.12/13.33 % NegExts : 0
% 86.12/13.33 % Equation resolutions : 204
% 86.12/13.33 % Disequality decompositions : 0
% 86.12/13.33 % Total rewrite steps : 96667
% 86.12/13.33 % ...of those cached : 91277
% 86.12/13.33 % Propositional unsat checks : 1
% 86.12/13.33 % Propositional check models : 0
% 86.12/13.33 % Propositional check unsatisfiable : 0
% 86.12/13.33 % Propositional clauses : 0
% 86.12/13.33 % Propositional clauses after purity: 0
% 86.12/13.33 % Propositional unsat core size : 0
% 86.12/13.33 % Propositional preprocessing time : 0.000
% 86.12/13.33 % Propositional encoding time : 0.185
% 86.12/13.33 % Propositional solver time : 0.194
% 86.12/13.33 % Success case prop preproc time : 0.000
% 86.12/13.33 % Success case prop encoding time : 0.000
% 86.12/13.33 % Success case prop solver time : 0.000
% 86.12/13.33 % Current number of processed clauses : 5552
% 86.12/13.33 % Positive orientable unit clauses : 1153
% 86.12/13.33 % Positive unorientable unit clauses: 0
% 86.12/13.33 % Negative unit clauses : 466
% 86.12/13.33 % Non-unit-clauses : 3933
% 86.12/13.33 % Current number of unprocessed clauses: 219328
% 86.12/13.33 % ...number of literals in the above : 495158
% 86.12/13.33 % Current number of archived formulas : 0
% 86.12/13.33 % Current number of archived clauses : 2322
% 86.12/13.33 % Clause-clause subsumption calls (NU) : 8679858
% 86.12/13.33 % Rec. Clause-clause subsumption calls : 8062348
% 86.12/13.33 % Non-unit clause-clause subsumptions : 8750
% 86.12/13.33 % Unit Clause-clause subsumption calls : 229143
% 86.12/13.33 % Rewrite failures with RHS unbound : 0
% 86.12/13.33 % BW rewrite match attempts : 18110
% 86.12/13.33 % BW rewrite match successes : 239
% 86.12/13.33 % Condensation attempts : 0
% 86.12/13.33 % Condensation successes : 0
% 86.12/13.33 % Termbank termtop insertions : 8419157
% 86.12/13.33 % Search garbage collected termcells : 1848
% 86.12/13.33
% 86.12/13.33 % -------------------------------------------------
% 86.12/13.33 % User time : 11.850 s
% 86.12/13.33 % System time : 0.326 s
% 86.12/13.33 % Total time : 12.176 s
% 86.12/13.33 % Maximum resident set size: 5680 pages
% 86.12/13.33
% 86.12/13.33 % -------------------------------------------------
% 86.12/13.33 % User time : 58.448 s
% 86.12/13.33 % System time : 2.311 s
% 86.12/13.33 % Total time : 60.759 s
% 86.12/13.33 % Maximum resident set size: 5632 pages
% 86.12/13.33 % E exiting
%------------------------------------------------------------------------------