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iProver---3.9.4.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : SWV325-1 : TPTP v9.3.1. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM

% Computer : n004.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 : Fri Sep 25 03:17:17 PM UTC 2026

% Result   : Unsatisfiable 59.39s 10.35s
% Output   : CNFRefutation 59.39s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :   28
% Syntax   : Number of formulae    :   82 (  37 unt;  16 def)
%            Number of atoms       :  296 (  22 equ)
%            Maximal formula atoms :    3 (   3 avg)
%            Number of connectives :  142 (  72   ~;  70   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :   19 (  17 usr;  17 prp; 0-3 aty)
%            Number of functors    :   24 (  24 usr;  12 con; 0-3 aty)
%            Number of variables   :   42 (   0 sgn  42   !;   0   ?;  28   :)

% Comments : 
%------------------------------------------------------------------------------
fof(f1395,axiom,
    ! [X2,X3,X0,X1] :
      ( c_in(X0,X1,X3)
      | c_in(X0,X2,X3)
      | ~ c_in(X0,c_union(X1,X2,X3),X3) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-2.ax',cls_Set_OUnE_0) ).

fof(f1447,axiom,
    ! [X2,X0,X1] :
      ( c_in(c_Message_Omsg_OKey(X0),X2,tc_Message_Omsg)
      | c_in(c_Message_Omsg_OCrypt(X0,X1),X2,tc_Message_Omsg)
      | ~ c_in(c_Message_Omsg_OCrypt(X0,X1),c_Message_Osynth(X2),tc_Message_Omsg) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV006-0.ax',cls_Message_OCrypt__synth_0) ).

fof(f1523,axiom,
    ! [X2,X0,X1] :
      ( c_in(X0,c_union(c_Message_Osynth(c_Message_Oanalz(X2)),c_Message_Oparts(X2),tc_Message_Omsg),tc_Message_Omsg)
      | ~ c_in(X1,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg)
      | ~ c_in(X0,c_Message_Oparts(c_insert(X1,X2,tc_Message_Omsg)),tc_Message_Omsg) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV006-2.ax',cls_Message_OFake__parts__insert__in__Un__dest_0) ).

fof(f1525,axiom,
    ! [X0,X1] :
      ( c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg)
      | ~ c_in(X0,c_Message_Oanalz(X1),tc_Message_Omsg) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV006-2.ax',cls_Message_Oanalz__into__parts__dest_0) ).

fof(f1557,axiom,
    ! [X0,X1] :
      ( c_in(X1,c_Event_Obad,tc_Message_Oagent)
      | ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(X1)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X0)),tc_Message_Omsg)
      | ~ c_in(X0,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_OtwayRees_OSpy__see__shrK__D__dest_0) ).

fof(f1558,negated_conjecture,
    ~ c_in(v_A,c_Event_Obad,tc_Message_Oagent),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).

fof(f1559,negated_conjecture,
    c_in(v_evsf,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).

fof(f1560,negated_conjecture,
    c_in(v_X,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).

fof(f1561,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_evsf),tc_Message_Omsg)),tc_Message_Omsg),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).

fof(f1562,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_evsf),tc_Message_Omsg)),tc_Message_Omsg),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_4) ).

fof(f1563,negated_conjecture,
    v_B != v_C,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_5) ).

fof(f1564,plain,
    v_C != v_B,
    inference(reorient_equations,[],[f1563]) ).

fof(f1565,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_evsf)),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_evsf)),tc_Message_Omsg)
    | v_B = v_C ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_6) ).

fof(f1566,plain,
    ( ~ 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_evsf)),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_evsf)),tc_Message_Omsg)
    | v_C = v_B ),
    inference(reorient_equations,[],[f1565]) ).

tcf(c_2088,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( c_in(X0,X2,X3)
      | c_in(X0,X1,X3)
      | ~ c_in(X0,c_union(X1,X2,X3),X3) ),
    inference(cnf_transformation,[],[f1395]) ).

tcf(c_2134,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c_in(c_Message_Omsg_OKey(X0),X2,tc_Message_Omsg)
      | c_in(c_Message_Omsg_OCrypt(X0,X1),X2,tc_Message_Omsg)
      | ~ c_in(c_Message_Omsg_OCrypt(X0,X1),c_Message_Osynth(X2),tc_Message_Omsg) ),
    inference(cnf_transformation,[],[f1447]) ).

tcf(c_2196,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c_in(X0,c_union(c_Message_Osynth(c_Message_Oanalz(X2)),c_Message_Oparts(X2),tc_Message_Omsg),tc_Message_Omsg)
      | ~ c_in(X1,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg)
      | ~ c_in(X0,c_Message_Oparts(c_insert(X1,X2,tc_Message_Omsg)),tc_Message_Omsg) ),
    inference(cnf_transformation,[],[f1523]) ).

tcf(c_2198,plain,
    ! [X0: $i,X1: $i] :
      ( c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg)
      | ~ c_in(X0,c_Message_Oanalz(X1),tc_Message_Omsg) ),
    inference(cnf_transformation,[],[f1525]) ).

tcf(c_2229,plain,
    ! [X0: $i,X1: $i] :
      ( c_in(X0,c_Event_Obad,tc_Message_Oagent)
      | ~ c_in(X1,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))
      | ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(X0)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg) ),
    inference(cnf_transformation,[],[f1557]) ).

tcf(c_2230,negated_conjecture,
    ~ c_in(v_A,c_Event_Obad,tc_Message_Oagent),
    inference(cnf_transformation,[],[f1558]) ).

tcf(c_2231,negated_conjecture,
    c_in(v_evsf,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)),
    inference(cnf_transformation,[],[f1559]) ).

tcf(c_2232,negated_conjecture,
    c_in(v_X,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg),
    inference(cnf_transformation,[],[f1560]) ).

tcf(c_2233,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_evsf),tc_Message_Omsg)),tc_Message_Omsg),
    inference(cnf_transformation,[],[f1561]) ).

tcf(c_2234,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_evsf),tc_Message_Omsg)),tc_Message_Omsg),
    inference(cnf_transformation,[],[f1562]) ).

tcf(c_2235,negated_conjecture,
    v_C != v_B,
    inference(cnf_transformation,[],[f1564]) ).

tcf(c_2236,negated_conjecture,
    ( ( v_C = v_B )
    | ~ 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_evsf)),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_evsf)),tc_Message_Omsg) ),
    inference(cnf_transformation,[],[f1566]) ).

tcf(c_2598,plain,
    ( ~ 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_evsf)),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_evsf)),tc_Message_Omsg) ),
    inference(global_subsumption_just,[status(thm)],[c_2236,c_2235,c_2236]) ).

tcf(c_2599,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_evsf)),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_evsf)),tc_Message_Omsg) ),
    inference(renaming,[status(thm)],[c_2598]) ).

tcf(c_10957,plain,
    ( ~ 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_evsf)),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_evsf)),tc_Message_Omsg) ),
    inference(prop_impl_just,[status(thm)],[c_2599]) ).

tcf(c_10958,plain,
    ( ~ 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_evsf)),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_evsf)),tc_Message_Omsg) ),
    inference(renaming,[status(thm)],[c_10957]) ).

tcf(c_15527,definition,
    iPr_def_10 = c_Public_OshrK(v_A),
    introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).

tcf(c_15528,definition,
    iPr_def_11 = c_Message_Omsg_OAgent(v_A),
    introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).

tcf(c_15529,definition,
    iPr_def_12 = c_Message_Omsg_OAgent(v_B),
    introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).

tcf(c_15530,definition,
    iPr_def_13 = c_Message_Omsg_OMPair(iPr_def_11,iPr_def_12),
    introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).

tcf(c_15531,definition,
    iPr_def_14 = c_Message_Omsg_OMPair(v_NA,iPr_def_13),
    introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).

tcf(c_15532,definition,
    iPr_def_15 = c_Message_Omsg_OCrypt(iPr_def_10,iPr_def_14),
    introduced(definition,[new_symbols(definition,[iPr_def_15])],[]) ).

tcf(c_15533,definition,
    iPr_def_16 = c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),
    introduced(definition,[new_symbols(definition,[iPr_def_16])],[]) ).

tcf(c_15534,definition,
    iPr_def_17 = c_insert(v_X,iPr_def_16,tc_Message_Omsg),
    introduced(definition,[new_symbols(definition,[iPr_def_17])],[]) ).

tcf(c_15535,definition,
    iPr_def_18 = c_Message_Oparts(iPr_def_17),
    introduced(definition,[new_symbols(definition,[iPr_def_18])],[]) ).

tcf(c_15536,definition,
    iPr_def_19 = c_Message_Omsg_OAgent(v_C),
    introduced(definition,[new_symbols(definition,[iPr_def_19])],[]) ).

tcf(c_15537,definition,
    iPr_def_20 = c_Message_Omsg_OMPair(iPr_def_11,iPr_def_19),
    introduced(definition,[new_symbols(definition,[iPr_def_20])],[]) ).

tcf(c_15538,definition,
    iPr_def_21 = c_Message_Omsg_OMPair(v_NA,iPr_def_20),
    introduced(definition,[new_symbols(definition,[iPr_def_21])],[]) ).

tcf(c_15539,definition,
    iPr_def_22 = c_Message_Omsg_OCrypt(iPr_def_10,iPr_def_21),
    introduced(definition,[new_symbols(definition,[iPr_def_22])],[]) ).

tcf(c_15540,definition,
    iPr_def_23 = c_Message_Oanalz(iPr_def_16),
    introduced(definition,[new_symbols(definition,[iPr_def_23])],[]) ).

tcf(c_15541,definition,
    iPr_def_24 = c_Message_Osynth(iPr_def_23),
    introduced(definition,[new_symbols(definition,[iPr_def_24])],[]) ).

tcf(c_15542,definition,
    iPr_def_25 = tc_List_Olist(tc_Event_Oevent),
    introduced(definition,[new_symbols(definition,[iPr_def_25])],[]) ).

tcf(c_15544,negated_conjecture,
    c_in(iPr_def_15,iPr_def_18,tc_Message_Omsg),
    inference(demodulation,[status(thm)],[c_2234,c_15533,c_15534,c_15535,c_15529,c_15528,c_15530,c_15531,c_15527,c_15532]) ).

tcf(c_15545,negated_conjecture,
    c_in(iPr_def_22,iPr_def_18,tc_Message_Omsg),
    inference(demodulation,[status(thm)],[c_2233,c_15536,c_15537,c_15538,c_15539]) ).

tcf(c_15546,negated_conjecture,
    c_in(v_X,iPr_def_24,tc_Message_Omsg),
    inference(demodulation,[status(thm)],[c_2232,c_15540,c_15541]) ).

tcf(c_15547,negated_conjecture,
    c_in(v_evsf,c_OtwayRees_Ootway,iPr_def_25),
    inference(demodulation,[status(thm)],[c_2231,c_15542]) ).

tcf(c_15548,negated_conjecture,
    ~ c_in(v_A,c_Event_Obad,tc_Message_Oagent),
    inference(demodulation,[status(thm)],[c_2230]) ).

tcf(c_22847,plain,
    ! [X0: $i] :
      ( c_in(X0,c_Message_Oparts(iPr_def_16),tc_Message_Omsg)
      | ~ c_in(X0,iPr_def_23,tc_Message_Omsg) ),
    inference(superposition,[status(thm)],[c_15540,c_2198]) ).

tcf(c_23025,plain,
    ( ~ c_in(iPr_def_22,c_Message_Oparts(iPr_def_16),tc_Message_Omsg)
    | ~ c_in(iPr_def_15,c_Message_Oparts(iPr_def_16),tc_Message_Omsg) ),
    inference(light_normalisation,[status(thm)],[c_10958,c_15527,c_15528,c_15529,c_15530,c_15531,c_15532,c_15533,c_15536,c_15537,c_15538,c_15539]) ).

tcf(c_23033,plain,
    ( ~ c_in(iPr_def_22,iPr_def_23,tc_Message_Omsg)
    | ~ c_in(iPr_def_15,c_Message_Oparts(iPr_def_16),tc_Message_Omsg) ),
    inference(superposition,[status(thm)],[c_22847,c_23025]) ).

tcf(c_23087,plain,
    ( ~ c_in(iPr_def_22,iPr_def_23,tc_Message_Omsg)
    | ~ c_in(iPr_def_15,iPr_def_23,tc_Message_Omsg) ),
    inference(superposition,[status(thm)],[c_22847,c_23033]) ).

tcf(c_31963,plain,
    ! [X0: $i] :
      ( c_in(X0,c_union(c_Message_Osynth(c_Message_Oanalz(iPr_def_16)),c_Message_Oparts(iPr_def_16),tc_Message_Omsg),tc_Message_Omsg)
      | ~ c_in(X0,c_Message_Oparts(iPr_def_17),tc_Message_Omsg)
      | ~ c_in(v_X,c_Message_Osynth(c_Message_Oanalz(iPr_def_16)),tc_Message_Omsg) ),
    inference(superposition,[status(thm)],[c_15534,c_2196]) ).

tcf(c_32013,plain,
    ! [X0: $i] :
      ( c_in(X0,c_union(iPr_def_24,c_Message_Oparts(iPr_def_16),tc_Message_Omsg),tc_Message_Omsg)
      | ~ c_in(v_X,iPr_def_24,tc_Message_Omsg)
      | ~ c_in(X0,iPr_def_18,tc_Message_Omsg) ),
    inference(light_normalisation,[status(thm)],[c_31963,c_15535,c_15540,c_15541]) ).

tcf(c_32014,plain,
    ! [X0: $i] :
      ( c_in(X0,c_union(iPr_def_24,c_Message_Oparts(iPr_def_16),tc_Message_Omsg),tc_Message_Omsg)
      | ~ c_in(X0,iPr_def_18,tc_Message_Omsg) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_32013,c_15546]) ).

tcf(c_32237,plain,
    ! [X0: $i] :
      ( c_in(X0,iPr_def_24,tc_Message_Omsg)
      | c_in(X0,c_Message_Oparts(iPr_def_16),tc_Message_Omsg)
      | ~ c_in(X0,iPr_def_18,tc_Message_Omsg) ),
    inference(superposition,[status(thm)],[c_32014,c_2088]) ).

tcf(c_32266,plain,
    ( c_in(iPr_def_22,iPr_def_24,tc_Message_Omsg)
    | ~ c_in(iPr_def_22,iPr_def_18,tc_Message_Omsg)
    | ~ c_in(iPr_def_15,c_Message_Oparts(iPr_def_16),tc_Message_Omsg) ),
    inference(superposition,[status(thm)],[c_32237,c_23025]) ).

tcf(c_32267,plain,
    ( c_in(iPr_def_15,iPr_def_24,tc_Message_Omsg)
    | ~ c_in(iPr_def_22,iPr_def_23,tc_Message_Omsg)
    | ~ c_in(iPr_def_15,iPr_def_18,tc_Message_Omsg) ),
    inference(superposition,[status(thm)],[c_32237,c_23033]) ).

tcf(c_32352,plain,
    ( c_in(iPr_def_15,iPr_def_24,tc_Message_Omsg)
    | ~ c_in(iPr_def_22,iPr_def_23,tc_Message_Omsg) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_32267,c_15544]) ).

tcf(c_32358,plain,
    ( c_in(iPr_def_22,iPr_def_24,tc_Message_Omsg)
    | ~ c_in(iPr_def_15,c_Message_Oparts(iPr_def_16),tc_Message_Omsg) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_32266,c_15545]) ).

tcf(c_32862,plain,
    ( c_in(iPr_def_22,iPr_def_24,tc_Message_Omsg)
    | c_in(iPr_def_15,iPr_def_24,tc_Message_Omsg)
    | ~ c_in(iPr_def_15,iPr_def_18,tc_Message_Omsg) ),
    inference(superposition,[status(thm)],[c_32237,c_32358]) ).

tcf(c_32863,plain,
    ( c_in(iPr_def_22,iPr_def_24,tc_Message_Omsg)
    | ~ c_in(iPr_def_15,iPr_def_23,tc_Message_Omsg) ),
    inference(superposition,[status(thm)],[c_22847,c_32358]) ).

tcf(c_32868,plain,
    ( c_in(iPr_def_22,iPr_def_24,tc_Message_Omsg)
    | c_in(iPr_def_15,iPr_def_24,tc_Message_Omsg) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_32862,c_15544]) ).

tcf(c_189123,plain,
    ! [X0: $i] :
      ( c_in(X0,c_Message_Oparts(iPr_def_16),tc_Message_Omsg)
      | ~ c_in(X0,iPr_def_23,tc_Message_Omsg) ),
    inference(superposition,[status(thm)],[c_15540,c_2198]) ).

tcf(c_199768,plain,
    ! [X0: $i] :
      ( c_in(c_Message_Omsg_OKey(iPr_def_10),X0,tc_Message_Omsg)
      | c_in(c_Message_Omsg_OCrypt(iPr_def_10,iPr_def_14),X0,tc_Message_Omsg)
      | ~ c_in(iPr_def_15,c_Message_Osynth(X0),tc_Message_Omsg) ),
    inference(superposition,[status(thm)],[c_15532,c_2134]) ).

tcf(c_199769,plain,
    ! [X0: $i] :
      ( c_in(c_Message_Omsg_OKey(iPr_def_10),X0,tc_Message_Omsg)
      | c_in(c_Message_Omsg_OCrypt(iPr_def_10,iPr_def_21),X0,tc_Message_Omsg)
      | ~ c_in(iPr_def_22,c_Message_Osynth(X0),tc_Message_Omsg) ),
    inference(superposition,[status(thm)],[c_15539,c_2134]) ).

tcf(c_199774,plain,
    ! [X0: $i] :
      ( c_in(iPr_def_22,X0,tc_Message_Omsg)
      | c_in(c_Message_Omsg_OKey(iPr_def_10),X0,tc_Message_Omsg)
      | ~ c_in(iPr_def_22,c_Message_Osynth(X0),tc_Message_Omsg) ),
    inference(light_normalisation,[status(thm)],[c_199769,c_15539]) ).

tcf(c_199778,plain,
    ! [X0: $i] :
      ( c_in(iPr_def_15,X0,tc_Message_Omsg)
      | c_in(c_Message_Omsg_OKey(iPr_def_10),X0,tc_Message_Omsg)
      | ~ c_in(iPr_def_15,c_Message_Osynth(X0),tc_Message_Omsg) ),
    inference(light_normalisation,[status(thm)],[c_199768,c_15532]) ).

tcf(c_200455,plain,
    ! [X0: $i,X1: $i] :
      ( c_in(X0,c_Event_Obad,tc_Message_Oagent)
      | ~ c_in(X1,c_OtwayRees_Ootway,iPr_def_25)
      | ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(X0)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg) ),
    inference(light_normalisation,[status(thm)],[c_2229,c_15542]) ).

tcf(c_200467,plain,
    ! [X0: $i] :
      ( c_in(X0,c_Event_Obad,tc_Message_Oagent)
      | ~ c_in(v_evsf,c_OtwayRees_Ootway,iPr_def_25)
      | ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(X0)),c_Message_Oparts(iPr_def_16),tc_Message_Omsg) ),
    inference(superposition,[status(thm)],[c_15533,c_200455]) ).

tcf(c_200468,plain,
    ! [X0: $i] :
      ( c_in(X0,c_Event_Obad,tc_Message_Oagent)
      | ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(X0)),c_Message_Oparts(iPr_def_16),tc_Message_Omsg) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_200467,c_15547]) ).

tcf(c_200611,plain,
    ( c_in(v_A,c_Event_Obad,tc_Message_Oagent)
    | ~ c_in(c_Message_Omsg_OKey(iPr_def_10),c_Message_Oparts(iPr_def_16),tc_Message_Omsg) ),
    inference(superposition,[status(thm)],[c_15527,c_200468]) ).

tcf(c_200612,plain,
    ~ c_in(c_Message_Omsg_OKey(iPr_def_10),c_Message_Oparts(iPr_def_16),tc_Message_Omsg),
    inference(forward_subsumption_resolution,[status(thm)],[c_200611,c_15548]) ).

tcf(c_200618,plain,
    ~ c_in(c_Message_Omsg_OKey(iPr_def_10),iPr_def_23,tc_Message_Omsg),
    inference(superposition,[status(thm)],[c_189123,c_200612]) ).

tcf(c_210771,plain,
    ( c_in(iPr_def_22,iPr_def_23,tc_Message_Omsg)
    | c_in(c_Message_Omsg_OKey(iPr_def_10),iPr_def_23,tc_Message_Omsg)
    | ~ c_in(iPr_def_22,iPr_def_24,tc_Message_Omsg) ),
    inference(superposition,[status(thm)],[c_15541,c_199774]) ).

tcf(c_210775,plain,
    ( c_in(iPr_def_22,iPr_def_23,tc_Message_Omsg)
    | ~ c_in(iPr_def_22,iPr_def_24,tc_Message_Omsg) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_210771,c_200618]) ).

tcf(c_210789,plain,
    ( c_in(iPr_def_15,iPr_def_23,tc_Message_Omsg)
    | c_in(c_Message_Omsg_OKey(iPr_def_10),iPr_def_23,tc_Message_Omsg)
    | ~ c_in(iPr_def_15,iPr_def_24,tc_Message_Omsg) ),
    inference(superposition,[status(thm)],[c_15541,c_199778]) ).

tcf(c_210793,plain,
    ( c_in(iPr_def_15,iPr_def_23,tc_Message_Omsg)
    | ~ c_in(iPr_def_15,iPr_def_24,tc_Message_Omsg) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_210789,c_200618]) ).

tcf(c_211730,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_210793,c_210775,c_32863,c_32868,c_32352,c_23087]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWV325-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04  % Command  : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.08/0.37  % Computer : n004.cluster.edu
% 0.08/0.37  % Model    : x86_64 x86_64
% 0.08/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.37  % Memory   : 8046.5625MB
% 0.08/0.37  % OS       : Linux 6.8.0-71-generic
% 0.08/0.37  % CPULimit : 300
% 0.08/0.37  % WCLimit  : 300
% 0.08/0.37  % DateTime : Thu Sep 24 19:13:35 UTC 2026
% 0.08/0.37  % CPUTime  : 
% 0.08/0.37  Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.08/0.40  Running first-order theorem proving
% 0.08/0.40  Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.41  
% 0.08/0.41  % ======== iProver multi-core TPTP/SMT =========
% 0.08/0.41  
% 0.08/0.41  % Detected problem language: tptp
% 0.08/0.42  % Proving...
% 59.39/10.35  % SZS status Started for theBenchmark.p
% 59.39/10.35  % SZS status Unsatisfiable for theBenchmark.p
% 59.39/10.35  
% 59.39/10.35  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 59.39/10.35  
% 59.39/10.35  % ------  iProver source info
% 59.39/10.35  
% 59.39/10.35  % git: date: 2026-07-19 20:42:38 +0200
% 59.39/10.35  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 59.39/10.35  % git: non_committed_changes: false
% 59.39/10.35  
% 59.39/10.35  % ------ Parsing...% successful
% 59.39/10.35  
% 59.39/10.35  
% 59.39/10.35  % ------ Clausification by vclausify_rel  & Parsing by iProver...% 
% 59.39/10.35  
% 59.39/10.35  % ------ Preprocessing... sup_sim: 1  sf_s  rm: 18 0s  sf_e  pe_s  pe:1:0s pe:2:0s pe:4:0s pe:8:0s pe:16:0s pe_e  sup_sim: 0  sf_s  rm: 30 0s  sf_e  pe_s  pe_e % 
% 59.39/10.35  
% 59.39/10.35  % ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e % 
% 59.39/10.35  
% 59.39/10.35  % ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 59.39/10.35  % ------ Proving...
% 59.39/10.35  % ------ Problem Properties 
% 59.39/10.35  
% 59.39/10.35  % 
% 59.39/10.35  % clauses                               410
% 59.39/10.35  % conjectures                           6
% 59.39/10.35  % EPR                                   36
% 59.39/10.35  % Horn                                  377
% 59.39/10.35  % unary                                 131
% 59.39/10.35  % binary                                220
% 59.39/10.35  % lits                                  748
% 59.39/10.35  % lits eq                               237
% 59.39/10.35  % fd_pure                               0
% 59.39/10.35  % fd_pseudo                             0
% 59.39/10.35  % fd_cond                               21
% 59.39/10.35  % fd_pseudo_cond                        61
% 59.39/10.35  % AC symbols                            0
% 59.39/10.35  
% 59.39/10.35  % ------ Schedule dynamic 5 is on 
% 59.39/10.35  
% 59.39/10.35  % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 59.39/10.35  
% 59.39/10.35  
% 59.39/10.35  % ------ 
% 59.39/10.35  % Current options:
% 59.39/10.35  % ------ 
% 59.39/10.35  
% 59.39/10.35  
% 59.39/10.35  % 
% 59.39/10.35  
% 59.39/10.35  % ------ Proving...
% 59.39/10.35  % 
% 59.39/10.35  
% 59.39/10.35  % SZS status Unsatisfiable for theBenchmark.p
% 59.39/10.35  
% 59.39/10.35  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 59.39/10.35  
% 59.39/10.35  
%------------------------------------------------------------------------------