TSTP Solution File: SWV299-1 by E---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1.00
% Problem  : SWV299-1 : TPTP v8.2.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n012.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 : 300s
% WCLimit  : 300s
% DateTime : Tue May 21 05:22:24 EDT 2024

% Result   : Unsatisfiable 11.32s 1.94s
% Output   : CNFRefutation 11.32s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :   15
% Syntax   : Number of clauses     :   66 (  29 unt;   4 nHn;  55 RR)
%            Number of literals    :  112 (   5 equ;  46 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    :   27 (  27 usr;  14 con; 0-3 aty)
%            Number of variables   :  115 (  23 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(cls_Message_Oparts__partsD__dest_0,axiom,
    ( c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg)
    | ~ c_in(X1,c_Message_Oparts(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_lessequals(X1,X2,tc_set(X3))
    | ~ c_in(c_Main_OsubsetI__1(X1,X2,X3),X2,X3) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-0.ax',cls_Set_OsubsetI_1) ).

cnf(cls_Message_Oparts_OInj_0,axiom,
    ( c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg)
    | ~ c_in(X1,X2,tc_Message_Omsg) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWV006-0.ax',cls_Message_Oparts_OInj_0) ).

cnf(cls_Message_Oanalz__into__parts__dest_0,axiom,
    ( c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg)
    | ~ c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWV006-1.ax',cls_Message_Oanalz__into__parts__dest_0) ).

cnf(cls_Set_OsubsetI_0,axiom,
    ( c_in(c_Main_OsubsetI__1(X1,X2,X3),X1,X3)
    | c_lessequals(X1,X2,tc_set(X3)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-0.ax',cls_Set_OsubsetI_0) ).

cnf(cls_Set_Osubset__antisym_0,axiom,
    ( X2 = X1
    | ~ c_lessequals(X1,X2,tc_set(X3))
    | ~ c_lessequals(X2,X1,tc_set(X3)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-0.ax',cls_Set_Osubset__antisym_0) ).

cnf(cls_Message_Oanalz_OInj_0,axiom,
    ( c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg)
    | ~ c_in(X1,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(X3,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X4)),tc_Message_Omsg)
    | ~ c_in(c_Event_Oevent_OSays(X1,X2,X3),c_List_Oset(X4,tc_Event_Oevent),tc_Event_Oevent) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWV006-1.ax',cls_Event_OSays__imp__analz__Spy__dest_0) ).

cnf(cls_Message_OMPair__analz_0,axiom,
    ( c_in(X2,c_Message_Oanalz(X3),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OMPair(X1,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_4,negated_conjecture,
    c_in(c_Event_Oevent_OSays(v_Aaa,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_A)))),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_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_A)))))))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_4) ).

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_NB),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_NB),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(X2,c_Message_Oparts(X3),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OMPair(X1,X2),c_Message_Oparts(X3),tc_Message_Omsg) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWV006-0.ax',cls_Message_OMPair__parts_0) ).

cnf(cls_OtwayRees_Ono__nonce__OR1__OR2__dest_0,axiom,
    ( c_in(X2,c_Event_Obad,tc_Message_Oagent)
    | ~ c_in(X1,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))
    | ~ 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(c_Message_Omsg_OCrypt(c_Public_OshrK(X2),c_Message_Omsg_OMPair(X4,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OAgent(X6)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWV006-1.ax',cls_OtwayRees_Ono__nonce__OR1__OR2__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_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_15,plain,
    ( c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg)
    | ~ c_in(X1,c_Message_Oparts(c_Message_Oparts(X2)),tc_Message_Omsg) ),
    inference(fof_simplification,[status(thm)],[cls_Message_Oparts__partsD__dest_0]) ).

cnf(c_0_16,plain,
    ( c_lessequals(X1,X2,tc_set(X3))
    | ~ c_in(c_Main_OsubsetI__1(X1,X2,X3),X2,X3) ),
    inference(fof_simplification,[status(thm)],[cls_Set_OsubsetI_1]) ).

cnf(c_0_17,plain,
    ( c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg)
    | ~ c_in(X1,X2,tc_Message_Omsg) ),
    inference(fof_simplification,[status(thm)],[cls_Message_Oparts_OInj_0]) ).

cnf(c_0_18,plain,
    ( c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg)
    | ~ c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg) ),
    inference(fof_simplification,[status(thm)],[cls_Message_Oanalz__into__parts__dest_0]) ).

cnf(c_0_19,plain,
    ( c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg)
    | ~ c_in(X1,c_Message_Oparts(c_Message_Oparts(X2)),tc_Message_Omsg) ),
    c_0_15 ).

cnf(c_0_20,axiom,
    ( c_in(c_Main_OsubsetI__1(X1,X2,X3),X1,X3)
    | c_lessequals(X1,X2,tc_set(X3)) ),
    cls_Set_OsubsetI_0 ).

cnf(c_0_21,plain,
    ( c_lessequals(X1,X2,tc_set(X3))
    | ~ c_in(c_Main_OsubsetI__1(X1,X2,X3),X2,X3) ),
    c_0_16 ).

cnf(c_0_22,plain,
    ( c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg)
    | ~ c_in(X1,X2,tc_Message_Omsg) ),
    c_0_17 ).

cnf(c_0_23,plain,
    ( c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg)
    | ~ c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg) ),
    c_0_18 ).

cnf(c_0_24,plain,
    ( X2 = X1
    | ~ c_lessequals(X1,X2,tc_set(X3))
    | ~ c_lessequals(X2,X1,tc_set(X3)) ),
    inference(fof_simplification,[status(thm)],[cls_Set_Osubset__antisym_0]) ).

cnf(c_0_25,plain,
    ( c_lessequals(c_Message_Oparts(c_Message_Oparts(X1)),X2,tc_set(tc_Message_Omsg))
    | c_in(c_Main_OsubsetI__1(c_Message_Oparts(c_Message_Oparts(X1)),X2,tc_Message_Omsg),c_Message_Oparts(X1),tc_Message_Omsg) ),
    inference(spm,[status(thm)],[c_0_19,c_0_20]) ).

cnf(c_0_26,plain,
    ( c_lessequals(X1,c_Message_Oparts(X2),tc_set(tc_Message_Omsg))
    | ~ c_in(c_Main_OsubsetI__1(X1,c_Message_Oparts(X2),tc_Message_Omsg),X2,tc_Message_Omsg) ),
    inference(spm,[status(thm)],[c_0_21,c_0_22]) ).

cnf(c_0_27,plain,
    ( c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg)
    | ~ c_in(X1,X2,tc_Message_Omsg) ),
    inference(fof_simplification,[status(thm)],[cls_Message_Oanalz_OInj_0]) ).

cnf(c_0_28,plain,
    ( c_in(X3,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X4)),tc_Message_Omsg)
    | ~ c_in(c_Event_Oevent_OSays(X1,X2,X3),c_List_Oset(X4,tc_Event_Oevent),tc_Event_Oevent) ),
    inference(fof_simplification,[status(thm)],[cls_Event_OSays__imp__analz__Spy__dest_0]) ).

cnf(c_0_29,plain,
    ( c_lessequals(c_Message_Oanalz(X1),X2,tc_set(tc_Message_Omsg))
    | c_in(c_Main_OsubsetI__1(c_Message_Oanalz(X1),X2,tc_Message_Omsg),c_Message_Oparts(X1),tc_Message_Omsg) ),
    inference(spm,[status(thm)],[c_0_23,c_0_20]) ).

cnf(c_0_30,plain,
    ( X2 = X1
    | ~ c_lessequals(X1,X2,tc_set(X3))
    | ~ c_lessequals(X2,X1,tc_set(X3)) ),
    c_0_24 ).

cnf(c_0_31,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_21,c_0_25]) ).

cnf(c_0_32,plain,
    c_lessequals(X1,c_Message_Oparts(X1),tc_set(tc_Message_Omsg)),
    inference(spm,[status(thm)],[c_0_26,c_0_20]) ).

cnf(c_0_33,plain,
    ( c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg)
    | ~ c_in(X1,X2,tc_Message_Omsg) ),
    c_0_27 ).

cnf(c_0_34,plain,
    ( c_in(X2,c_Message_Oanalz(X3),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OMPair(X1,X2),c_Message_Oanalz(X3),tc_Message_Omsg) ),
    inference(fof_simplification,[status(thm)],[cls_Message_OMPair__analz_0]) ).

cnf(c_0_35,plain,
    ( c_in(X3,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X4)),tc_Message_Omsg)
    | ~ c_in(c_Event_Oevent_OSays(X1,X2,X3),c_List_Oset(X4,tc_Event_Oevent),tc_Event_Oevent) ),
    c_0_28 ).

cnf(c_0_36,negated_conjecture,
    c_in(c_Event_Oevent_OSays(v_Aaa,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_A)))),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_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_A)))))))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent),
    cls_conjecture_4 ).

cnf(c_0_37,plain,
    c_lessequals(c_Message_Oanalz(X1),c_Message_Oparts(X1),tc_set(tc_Message_Omsg)),
    inference(spm,[status(thm)],[c_0_21,c_0_29]) ).

cnf(c_0_38,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_30,c_0_31]),c_0_32])]) ).

cnf(c_0_39,plain,
    ( c_lessequals(X1,c_Message_Oanalz(X2),tc_set(tc_Message_Omsg))
    | ~ c_in(c_Main_OsubsetI__1(X1,c_Message_Oanalz(X2),tc_Message_Omsg),X2,tc_Message_Omsg) ),
    inference(spm,[status(thm)],[c_0_21,c_0_33]) ).

cnf(c_0_40,plain,
    ( c_in(X2,c_Message_Oanalz(X3),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OMPair(X1,X2),c_Message_Oanalz(X3),tc_Message_Omsg) ),
    c_0_34 ).

cnf(c_0_41,negated_conjecture,
    c_in(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_A)))),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_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_A))))))))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg),
    inference(spm,[status(thm)],[c_0_35,c_0_36]) ).

cnf(c_0_42,plain,
    c_lessequals(c_Message_Oanalz(c_Message_Oparts(X1)),c_Message_Oparts(X1),tc_set(tc_Message_Omsg)),
    inference(spm,[status(thm)],[c_0_37,c_0_38]) ).

cnf(c_0_43,plain,
    c_lessequals(X1,c_Message_Oanalz(X1),tc_set(tc_Message_Omsg)),
    inference(spm,[status(thm)],[c_0_39,c_0_20]) ).

cnf(c_0_44,negated_conjecture,
    c_in(c_Event_Oevent_OSays(v_A,v_B,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),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_NB),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_45,plain,
    ( c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OMPair(X3,X1),X2,tc_Message_Omsg) ),
    inference(spm,[status(thm)],[c_0_40,c_0_33]) ).

cnf(c_0_46,negated_conjecture,
    c_in(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_A)))),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_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_A))))))))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg),
    inference(spm,[status(thm)],[c_0_23,c_0_41]) ).

cnf(c_0_47,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_30,c_0_42]),c_0_43])]) ).

cnf(c_0_48,plain,
    ( c_in(X2,c_Message_Oparts(X3),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OMPair(X1,X2),c_Message_Oparts(X3),tc_Message_Omsg) ),
    inference(fof_simplification,[status(thm)],[cls_Message_OMPair__parts_0]) ).

cnf(c_0_49,negated_conjecture,
    c_in(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),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_NB),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_35,c_0_44]) ).

cnf(c_0_50,negated_conjecture,
    c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_A)))),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_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_A)))))))),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_45,c_0_46]),c_0_47]) ).

cnf(c_0_51,plain,
    ( c_in(X2,c_Message_Oparts(X3),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OMPair(X1,X2),c_Message_Oparts(X3),tc_Message_Omsg) ),
    c_0_48 ).

cnf(c_0_52,negated_conjecture,
    c_in(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),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_NB),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_23,c_0_49]) ).

cnf(c_0_53,negated_conjecture,
    c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_A)))),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_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_A))))))),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_45,c_0_50]),c_0_47]) ).

cnf(c_0_54,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_NB),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_51,c_0_52]) ).

cnf(c_0_55,plain,
    ( c_in(X2,c_Event_Obad,tc_Message_Oagent)
    | ~ c_in(X1,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))
    | ~ 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(c_Message_Omsg_OCrypt(c_Public_OshrK(X2),c_Message_Omsg_OMPair(X4,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OAgent(X6)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg) ),
    inference(fof_simplification,[status(thm)],[cls_OtwayRees_Ono__nonce__OR1__OR2__dest_0]) ).

cnf(c_0_56,negated_conjecture,
    c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_A)))),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_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_A)))))),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_45,c_0_53]),c_0_47]) ).

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,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_NB),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_51,c_0_54]) ).

cnf(c_0_59,plain,
    ( c_in(X2,c_Event_Obad,tc_Message_Oagent)
    | ~ c_in(X1,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))
    | ~ 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(c_Message_Omsg_OCrypt(c_Public_OshrK(X2),c_Message_Omsg_OMPair(X4,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OAgent(X6)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg) ),
    c_0_55 ).

cnf(c_0_60,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_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_A))))),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_45,c_0_56]),c_0_47]) ).

cnf(c_0_61,negated_conjecture,
    c_in(v_evs3,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)),
    cls_conjecture_1 ).

cnf(c_0_62,negated_conjecture,
    ~ c_in(v_A,c_Event_Obad,tc_Message_Oagent),
    c_0_57 ).

cnf(c_0_63,negated_conjecture,
    c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),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_B)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg),
    inference(spm,[status(thm)],[c_0_51,c_0_58]) ).

cnf(c_0_64,negated_conjecture,
    ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),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),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_60]),c_0_61])]),c_0_62]) ).

cnf(c_0_65,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[c_0_63,c_0_64]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem    : SWV299-1 : TPTP v8.2.0. Released v3.2.0.
% 0.03/0.12  % Command    : run_E %s %d THM
% 0.12/0.33  % Computer : n012.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit   : 300
% 0.12/0.33  % WCLimit    : 300
% 0.12/0.33  % DateTime   : Sun May 19 07:06:08 EDT 2024
% 0.12/0.33  % CPUTime    : 
% 0.18/0.47  Running first-order theorem proving
% 0.18/0.47  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
% 11.32/1.94  # Version: 3.1.0
% 11.32/1.94  # Preprocessing class: FMLMSMSMSSSNFFN.
% 11.32/1.94  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 11.32/1.94  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 11.32/1.94  # Starting new_bool_3 with 300s (1) cores
% 11.32/1.94  # Starting new_bool_1 with 300s (1) cores
% 11.32/1.94  # Starting sh5l with 300s (1) cores
% 11.32/1.94  # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 7452 completed with status 0
% 11.32/1.94  # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 11.32/1.94  # Preprocessing class: FMLMSMSMSSSNFFN.
% 11.32/1.94  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 11.32/1.94  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 11.32/1.94  # No SInE strategy applied
% 11.32/1.94  # Search class: FGHSM-SSLM32-DFFFFFNN
% 11.32/1.94  # Scheduled 13 strats onto 5 cores with 1500 seconds (1500 total)
% 11.32/1.94  # Starting G-E--_208_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S04AN with 113s (1) cores
% 11.32/1.94  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 11.32/1.94  # Starting G-E--_208_B07_F1_SE_CS_SP_PS_S4d with 113s (1) cores
% 11.32/1.94  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AI with 113s (1) cores
% 11.32/1.94  # Starting G-E--_208_B07_F1_S5PRR_SE_CS_SP_PS_S0Y with 113s (1) cores
% 11.32/1.94  # G-E--_208_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S04AN with pid 7459 completed with status 0
% 11.32/1.94  # Result found by G-E--_208_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S04AN
% 11.32/1.94  # Preprocessing class: FMLMSMSMSSSNFFN.
% 11.32/1.94  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 11.32/1.94  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 11.32/1.94  # No SInE strategy applied
% 11.32/1.94  # Search class: FGHSM-SSLM32-DFFFFFNN
% 11.32/1.94  # Scheduled 13 strats onto 5 cores with 1500 seconds (1500 total)
% 11.32/1.94  # Starting G-E--_208_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S04AN with 113s (1) cores
% 11.32/1.94  # Preprocessing time       : 0.011 s
% 11.32/1.94  # Presaturation interreduction done
% 11.32/1.94  
% 11.32/1.94  # Proof found!
% 11.32/1.94  # SZS status Unsatisfiable
% 11.32/1.94  # SZS output start CNFRefutation
% See solution above
% 11.32/1.94  # Parsed axioms                        : 1482
% 11.32/1.94  # Removed by relevancy pruning/SinE    : 0
% 11.32/1.94  # Initial clauses                      : 1482
% 11.32/1.94  # Removed in clause preprocessing      : 3
% 11.32/1.94  # Initial clauses in saturation        : 1479
% 11.32/1.94  # Processed clauses                    : 11596
% 11.32/1.94  # ...of these trivial                  : 855
% 11.32/1.94  # ...subsumed                          : 5623
% 11.32/1.94  # ...remaining for further processing  : 5118
% 11.32/1.94  # Other redundant clauses eliminated   : 49
% 11.32/1.94  # Clauses deleted for lack of memory   : 0
% 11.32/1.94  # Backward-subsumed                    : 150
% 11.32/1.94  # Backward-rewritten                   : 473
% 11.32/1.94  # Generated clauses                    : 80944
% 11.32/1.94  # ...of the previous two non-redundant : 68378
% 11.32/1.94  # ...aggressively subsumed             : 0
% 11.32/1.94  # Contextual simplify-reflections      : 1
% 11.32/1.94  # Paramodulations                      : 80837
% 11.32/1.94  # Factorizations                       : 6
% 11.32/1.94  # NegExts                              : 0
% 11.32/1.94  # Equation resolutions                 : 100
% 11.32/1.94  # Disequality decompositions           : 0
% 11.32/1.94  # Total rewrite steps                  : 66633
% 11.32/1.94  # ...of those cached                   : 63276
% 11.32/1.94  # Propositional unsat checks           : 1
% 11.32/1.94  #    Propositional check models        : 0
% 11.32/1.94  #    Propositional check unsatisfiable : 0
% 11.32/1.94  #    Propositional clauses             : 0
% 11.32/1.94  #    Propositional clauses after purity: 0
% 11.32/1.94  #    Propositional unsat core size     : 0
% 11.32/1.94  #    Propositional preprocessing time  : 0.000
% 11.32/1.94  #    Propositional encoding time       : 0.092
% 11.32/1.94  #    Propositional solver time         : 0.065
% 11.32/1.94  #    Success case prop preproc time    : 0.000
% 11.32/1.94  #    Success case prop encoding time   : 0.000
% 11.32/1.94  #    Success case prop solver time     : 0.000
% 11.32/1.94  # Current number of processed clauses  : 3070
% 11.32/1.94  #    Positive orientable unit clauses  : 545
% 11.32/1.94  #    Positive unorientable unit clauses: 0
% 11.32/1.94  #    Negative unit clauses             : 714
% 11.32/1.94  #    Non-unit-clauses                  : 1811
% 11.32/1.94  # Current number of unprocessed clauses: 53507
% 11.32/1.94  # ...number of literals in the above   : 95215
% 11.32/1.94  # Current number of archived formulas  : 0
% 11.32/1.94  # Current number of archived clauses   : 2048
% 11.32/1.94  # Clause-clause subsumption calls (NU) : 4231681
% 11.32/1.94  # Rec. Clause-clause subsumption calls : 3111147
% 11.32/1.94  # Non-unit clause-clause subsumptions  : 3557
% 11.32/1.94  # Unit Clause-clause subsumption calls : 98165
% 11.32/1.94  # Rewrite failures with RHS unbound    : 0
% 11.32/1.94  # BW rewrite match attempts            : 3349
% 11.32/1.94  # BW rewrite match successes           : 194
% 11.32/1.94  # Condensation attempts                : 0
% 11.32/1.94  # Condensation successes               : 0
% 11.32/1.94  # Termbank termtop insertions          : 1786924
% 11.32/1.94  # Search garbage collected termcells   : 1854
% 11.32/1.94  
% 11.32/1.94  # -------------------------------------------------
% 11.32/1.94  # User time                : 1.331 s
% 11.32/1.94  # System time              : 0.059 s
% 11.32/1.94  # Total time               : 1.390 s
% 11.32/1.94  # Maximum resident set size: 4140 pages
% 11.32/1.94  
% 11.32/1.94  # -------------------------------------------------
% 11.32/1.94  # User time                : 6.560 s
% 11.32/1.94  # System time              : 0.319 s
% 11.32/1.94  # Total time               : 6.879 s
% 11.32/1.94  # Maximum resident set size: 2504 pages
% 11.32/1.94  % E---3.1 exiting
% 11.32/1.94  % E exiting
%------------------------------------------------------------------------------