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iProver---3.9.4.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : SWV300-2 : TPTP v9.3.1. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM

% Computer : n013.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 03:17:00 PM UTC 2026

% Result   : Unsatisfiable 1.99s 1.30s
% Output   : CNFRefutation 1.99s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :   33
% Syntax   : Number of formulae    :   81 (  41 unt;  19 def)
%            Number of atoms       :  261 (  19 equ)
%            Maximal formula atoms :    4 (   3 avg)
%            Number of connectives :  117 (  55   ~;  62   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    7 (   1 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :   22 (  20 usr;  20 prp; 0-3 aty)
%            Number of functors    :   30 (  30 usr;  16 con; 0-3 aty)
%            Number of variables   :   73 (   0 sgn  73   !;   0   ?;  47   :)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
    ~ c_in(v_A,c_Event_Obad,tc_Message_Oagent),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).

fof(f2,negated_conjecture,
    c_in(v_evs4,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).

fof(f3,negated_conjecture,
    c_in(c_Event_Oevent_OSays(v_Aaa,v_Ba,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(v_X,c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OKey(v_Ka)))))),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_4) ).

fof(f4,negated_conjecture,
    ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_5) ).

fof(f5,negated_conjecture,
    c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),c_Message_Oparts(c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4),tc_Message_Omsg)),tc_Message_Omsg),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_7) ).

fof(f6,axiom,
    ! [X2,X3,X0,X1] :
      ( c_in(X2,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg)
      | ~ c_in(c_Event_Oevent_OSays(X0,X1,X2),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Event_OSays__imp__analz__Spy__dest_0) ).

fof(f7,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/sandbox2/benchmark/theBenchmark.p',cls_Message_OCrypt__synth_0) ).

fof(f8,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/sandbox2/benchmark/theBenchmark.p',cls_Message_OFake__parts__insert__in__Un__dest_0) ).

fof(f9,axiom,
    ! [X2,X0,X1] :
      ( c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg)
      | ~ c_in(c_Message_Omsg_OMPair(X0,X1),c_Message_Oanalz(X2),tc_Message_Omsg) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_OMPair__analz_0) ).

fof(f10,axiom,
    ! [X2,X0,X1] :
      ( c_in(X0,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg)
      | ~ c_in(c_Message_Omsg_OMPair(X0,X1),c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_OMPair__synth__analz__iff1_0) ).

fof(f11,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/sandbox2/benchmark/theBenchmark.p',cls_Message_Oanalz__into__parts__dest_0) ).

fof(f12,axiom,
    ! [X0,X1] :
      ( c_in(X0,c_Message_Osynth(X1),tc_Message_Omsg)
      | ~ c_in(X0,X1,tc_Message_Omsg) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Osynth_OInj_0) ).

fof(f13,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/sandbox2/benchmark/theBenchmark.p',cls_OtwayRees_OSpy__see__shrK__D__dest_0) ).

fof(f14,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/sandbox2/benchmark/theBenchmark.p',cls_Set_OUnE_0) ).

tcf(c_63,negated_conjecture,
    ~ c_in(v_A,c_Event_Obad,tc_Message_Oagent),
    inference(cnf_transformation,[],[f1]) ).

tcf(c_64,negated_conjecture,
    c_in(v_evs4,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)),
    inference(cnf_transformation,[],[f2]) ).

tcf(c_65,negated_conjecture,
    c_in(c_Event_Oevent_OSays(v_Aaa,v_Ba,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(v_X,c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OKey(v_Ka)))))),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent),
    inference(cnf_transformation,[],[f3]) ).

tcf(c_66,negated_conjecture,
    ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg),
    inference(cnf_transformation,[],[f4]) ).

tcf(c_67,negated_conjecture,
    c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),c_Message_Oparts(c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4),tc_Message_Omsg)),tc_Message_Omsg),
    inference(cnf_transformation,[],[f5]) ).

tcf(c_68,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( c_in(X2,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg)
      | ~ c_in(c_Event_Oevent_OSays(X0,X1,X2),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent) ),
    inference(cnf_transformation,[],[f6]) ).

tcf(c_69,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,[],[f7]) ).

tcf(c_70,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,[],[f8]) ).

tcf(c_71,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg)
      | ~ c_in(c_Message_Omsg_OMPair(X0,X1),c_Message_Oanalz(X2),tc_Message_Omsg) ),
    inference(cnf_transformation,[],[f9]) ).

tcf(c_72,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c_in(X0,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg)
      | ~ c_in(c_Message_Omsg_OMPair(X0,X1),c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg) ),
    inference(cnf_transformation,[],[f10]) ).

tcf(c_73,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,[],[f11]) ).

tcf(c_74,plain,
    ! [X0: $i,X1: $i] :
      ( c_in(X0,c_Message_Osynth(X1),tc_Message_Omsg)
      | ~ c_in(X0,X1,tc_Message_Omsg) ),
    inference(cnf_transformation,[],[f12]) ).

tcf(c_75,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,[],[f13]) ).

tcf(c_76,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,[],[f14]) ).

tcf(c_140,definition,
    iPr_def_10 = c_Public_OshrK(v_A),
    introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).

tcf(c_141,definition,
    iPr_def_11 = c_Message_Omsg_OKey(v_K),
    introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).

tcf(c_142,definition,
    iPr_def_12 = c_Message_Omsg_OMPair(v_NA,iPr_def_11),
    introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).

tcf(c_143,definition,
    iPr_def_13 = c_Message_Omsg_OCrypt(iPr_def_10,iPr_def_12),
    introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).

tcf(c_144,definition,
    iPr_def_14 = c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4),
    introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).

tcf(c_145,definition,
    iPr_def_15 = c_insert(v_X,iPr_def_14,tc_Message_Omsg),
    introduced(definition,[new_symbols(definition,[iPr_def_15])],[]) ).

tcf(c_146,definition,
    iPr_def_16 = c_Message_Oparts(iPr_def_15),
    introduced(definition,[new_symbols(definition,[iPr_def_16])],[]) ).

tcf(c_147,definition,
    iPr_def_17 = c_Message_Oparts(iPr_def_14),
    introduced(definition,[new_symbols(definition,[iPr_def_17])],[]) ).

tcf(c_148,definition,
    iPr_def_18 = c_Message_Omsg_ONonce(v_NAa),
    introduced(definition,[new_symbols(definition,[iPr_def_18])],[]) ).

tcf(c_149,definition,
    iPr_def_19 = c_Public_OshrK(v_Ba),
    introduced(definition,[new_symbols(definition,[iPr_def_19])],[]) ).

tcf(c_150,definition,
    iPr_def_20 = c_Message_Omsg_ONonce(v_NB),
    introduced(definition,[new_symbols(definition,[iPr_def_20])],[]) ).

tcf(c_151,definition,
    iPr_def_21 = c_Message_Omsg_OKey(v_Ka),
    introduced(definition,[new_symbols(definition,[iPr_def_21])],[]) ).

tcf(c_152,definition,
    iPr_def_22 = c_Message_Omsg_OMPair(iPr_def_20,iPr_def_21),
    introduced(definition,[new_symbols(definition,[iPr_def_22])],[]) ).

tcf(c_153,definition,
    iPr_def_23 = c_Message_Omsg_OCrypt(iPr_def_19,iPr_def_22),
    introduced(definition,[new_symbols(definition,[iPr_def_23])],[]) ).

tcf(c_154,definition,
    iPr_def_24 = c_Message_Omsg_OMPair(v_X,iPr_def_23),
    introduced(definition,[new_symbols(definition,[iPr_def_24])],[]) ).

tcf(c_155,definition,
    iPr_def_25 = c_Message_Omsg_OMPair(iPr_def_18,iPr_def_24),
    introduced(definition,[new_symbols(definition,[iPr_def_25])],[]) ).

tcf(c_156,definition,
    iPr_def_26 = c_Event_Oevent_OSays(v_Aaa,v_Ba,iPr_def_25),
    introduced(definition,[new_symbols(definition,[iPr_def_26])],[]) ).

tcf(c_157,definition,
    iPr_def_27 = c_List_Oset(v_evs4,tc_Event_Oevent),
    introduced(definition,[new_symbols(definition,[iPr_def_27])],[]) ).

tcf(c_158,definition,
    iPr_def_28 = tc_List_Olist(tc_Event_Oevent),
    introduced(definition,[new_symbols(definition,[iPr_def_28])],[]) ).

tcf(c_159,negated_conjecture,
    c_in(iPr_def_13,iPr_def_16,tc_Message_Omsg),
    inference(demodulation,[status(thm)],[c_67,c_144,c_145,c_146,c_141,c_142,c_140,c_143]) ).

tcf(c_160,negated_conjecture,
    ~ c_in(iPr_def_13,iPr_def_17,tc_Message_Omsg),
    inference(demodulation,[status(thm)],[c_66,c_147]) ).

tcf(c_161,negated_conjecture,
    c_in(iPr_def_26,iPr_def_27,tc_Event_Oevent),
    inference(demodulation,[status(thm)],[c_65,c_157,c_151,c_150,c_152,c_149,c_153,c_154,c_148,c_155,c_156]) ).

tcf(c_162,negated_conjecture,
    c_in(v_evs4,c_OtwayRees_Ootway,iPr_def_28),
    inference(demodulation,[status(thm)],[c_64,c_158]) ).

tcf(c_163,negated_conjecture,
    ~ c_in(v_A,c_Event_Obad,tc_Message_Oagent),
    inference(demodulation,[status(thm)],[c_63]) ).

tcf(c_579,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c_in(X2,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg)
      | ~ c_in(c_Event_Oevent_OSays(X0,X1,X2),iPr_def_27,tc_Event_Oevent) ),
    inference(superposition,[status(thm)],[c_157,c_68]) ).

tcf(c_582,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c_in(X2,c_Message_Oanalz(iPr_def_14),tc_Message_Omsg)
      | ~ c_in(c_Event_Oevent_OSays(X0,X1,X2),iPr_def_27,tc_Event_Oevent) ),
    inference(light_normalisation,[status(thm)],[c_579,c_144]) ).

tcf(c_598,plain,
    ! [X0: $i] :
      ( c_in(iPr_def_24,c_Message_Oanalz(X0),tc_Message_Omsg)
      | ~ c_in(iPr_def_25,c_Message_Oanalz(X0),tc_Message_Omsg) ),
    inference(superposition,[status(thm)],[c_155,c_71]) ).

tcf(c_618,plain,
    ! [X0: $i] :
      ( c_in(v_X,c_Message_Osynth(c_Message_Oanalz(X0)),tc_Message_Omsg)
      | ~ c_in(iPr_def_24,c_Message_Osynth(c_Message_Oanalz(X0)),tc_Message_Omsg) ),
    inference(superposition,[status(thm)],[c_154,c_72]) ).

tcf(c_661,plain,
    ( c_in(iPr_def_25,c_Message_Oanalz(iPr_def_14),tc_Message_Omsg)
    | ~ c_in(iPr_def_26,iPr_def_27,tc_Event_Oevent) ),
    inference(superposition,[status(thm)],[c_156,c_582]) ).

tcf(c_662,plain,
    c_in(iPr_def_25,c_Message_Oanalz(iPr_def_14),tc_Message_Omsg),
    inference(forward_subsumption_resolution,[status(thm)],[c_661,c_161]) ).

tcf(c_664,plain,
    c_in(iPr_def_24,c_Message_Oanalz(iPr_def_14),tc_Message_Omsg),
    inference(superposition,[status(thm)],[c_662,c_598]) ).

tcf(c_699,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_12),X0,tc_Message_Omsg)
      | ~ c_in(iPr_def_13,c_Message_Osynth(X0),tc_Message_Omsg) ),
    inference(superposition,[status(thm)],[c_143,c_69]) ).

tcf(c_705,plain,
    ! [X0: $i] :
      ( c_in(iPr_def_13,X0,tc_Message_Omsg)
      | c_in(c_Message_Omsg_OKey(iPr_def_10),X0,tc_Message_Omsg)
      | ~ c_in(iPr_def_13,c_Message_Osynth(X0),tc_Message_Omsg) ),
    inference(light_normalisation,[status(thm)],[c_699,c_143]) ).

tcf(c_711,plain,
    ! [X0: $i,X1: $i] :
      ( c_in(X0,c_Event_Obad,tc_Message_Oagent)
      | ~ c_in(X1,c_OtwayRees_Ootway,iPr_def_28)
      | ~ 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_75,c_158]) ).

tcf(c_723,plain,
    ! [X0: $i] :
      ( c_in(X0,c_Event_Obad,tc_Message_Oagent)
      | ~ c_in(v_evs4,c_OtwayRees_Ootway,iPr_def_28)
      | ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(X0)),c_Message_Oparts(iPr_def_14),tc_Message_Omsg) ),
    inference(superposition,[status(thm)],[c_144,c_711]) ).

tcf(c_724,plain,
    ! [X0: $i] :
      ( c_in(X0,c_Event_Obad,tc_Message_Oagent)
      | ~ c_in(v_evs4,c_OtwayRees_Ootway,iPr_def_28)
      | ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(X0)),iPr_def_17,tc_Message_Omsg) ),
    inference(light_normalisation,[status(thm)],[c_723,c_147]) ).

tcf(c_725,plain,
    ! [X0: $i] :
      ( c_in(X0,c_Event_Obad,tc_Message_Oagent)
      | ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(X0)),iPr_def_17,tc_Message_Omsg) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_724,c_162]) ).

tcf(c_743,plain,
    ! [X0: $i] :
      ( c_in(X0,c_union(c_Message_Osynth(c_Message_Oanalz(iPr_def_14)),c_Message_Oparts(iPr_def_14),tc_Message_Omsg),tc_Message_Omsg)
      | ~ c_in(X0,c_Message_Oparts(iPr_def_15),tc_Message_Omsg)
      | ~ c_in(v_X,c_Message_Osynth(c_Message_Oanalz(iPr_def_14)),tc_Message_Omsg) ),
    inference(superposition,[status(thm)],[c_145,c_70]) ).

tcf(c_744,plain,
    ! [X0: $i] :
      ( c_in(X0,c_union(c_Message_Osynth(c_Message_Oanalz(iPr_def_14)),iPr_def_17,tc_Message_Omsg),tc_Message_Omsg)
      | ~ c_in(X0,iPr_def_16,tc_Message_Omsg)
      | ~ c_in(v_X,c_Message_Osynth(c_Message_Oanalz(iPr_def_14)),tc_Message_Omsg) ),
    inference(light_normalisation,[status(thm)],[c_743,c_146,c_147]) ).

tcf(c_754,plain,
    ( c_in(v_A,c_Event_Obad,tc_Message_Oagent)
    | ~ c_in(c_Message_Omsg_OKey(iPr_def_10),iPr_def_17,tc_Message_Omsg) ),
    inference(superposition,[status(thm)],[c_140,c_725]) ).

tcf(c_755,plain,
    ~ c_in(c_Message_Omsg_OKey(iPr_def_10),iPr_def_17,tc_Message_Omsg),
    inference(forward_subsumption_resolution,[status(thm)],[c_754,c_163]) ).

tcf(c_788,plain,
    ! [X0: $i] :
      ( c_in(v_X,c_Message_Osynth(c_Message_Oanalz(X0)),tc_Message_Omsg)
      | ~ c_in(iPr_def_24,c_Message_Oanalz(X0),tc_Message_Omsg) ),
    inference(superposition,[status(thm)],[c_74,c_618]) ).

tcf(c_885,plain,
    ! [X0: $i] :
      ( c_in(X0,iPr_def_17,tc_Message_Omsg)
      | c_in(X0,c_Message_Osynth(c_Message_Oanalz(iPr_def_14)),tc_Message_Omsg)
      | ~ c_in(X0,iPr_def_16,tc_Message_Omsg)
      | ~ c_in(v_X,c_Message_Osynth(c_Message_Oanalz(iPr_def_14)),tc_Message_Omsg) ),
    inference(superposition,[status(thm)],[c_744,c_76]) ).

tcf(c_900,plain,
    ! [X0: $i] :
      ( c_in(X0,iPr_def_17,tc_Message_Omsg)
      | c_in(X0,c_Message_Osynth(c_Message_Oanalz(iPr_def_14)),tc_Message_Omsg)
      | ~ c_in(X0,iPr_def_16,tc_Message_Omsg)
      | ~ c_in(iPr_def_24,c_Message_Oanalz(iPr_def_14),tc_Message_Omsg) ),
    inference(superposition,[status(thm)],[c_788,c_885]) ).

tcf(c_901,plain,
    ! [X0: $i] :
      ( c_in(X0,iPr_def_17,tc_Message_Omsg)
      | c_in(X0,c_Message_Osynth(c_Message_Oanalz(iPr_def_14)),tc_Message_Omsg)
      | ~ c_in(X0,iPr_def_16,tc_Message_Omsg) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_900,c_664]) ).

tcf(c_921,plain,
    ( c_in(iPr_def_13,iPr_def_17,tc_Message_Omsg)
    | c_in(iPr_def_13,c_Message_Oanalz(iPr_def_14),tc_Message_Omsg)
    | c_in(c_Message_Omsg_OKey(iPr_def_10),c_Message_Oanalz(iPr_def_14),tc_Message_Omsg)
    | ~ c_in(iPr_def_13,iPr_def_16,tc_Message_Omsg) ),
    inference(superposition,[status(thm)],[c_901,c_705]) ).

tcf(c_932,plain,
    ( c_in(iPr_def_13,c_Message_Oanalz(iPr_def_14),tc_Message_Omsg)
    | c_in(c_Message_Omsg_OKey(iPr_def_10),c_Message_Oanalz(iPr_def_14),tc_Message_Omsg) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_921,c_160,c_159]) ).

tcf(c_945,plain,
    ( c_in(iPr_def_13,c_Message_Oanalz(iPr_def_14),tc_Message_Omsg)
    | c_in(c_Message_Omsg_OKey(iPr_def_10),c_Message_Oparts(iPr_def_14),tc_Message_Omsg) ),
    inference(superposition,[status(thm)],[c_932,c_73]) ).

tcf(c_946,plain,
    ( c_in(iPr_def_13,c_Message_Oanalz(iPr_def_14),tc_Message_Omsg)
    | c_in(c_Message_Omsg_OKey(iPr_def_10),iPr_def_17,tc_Message_Omsg) ),
    inference(light_normalisation,[status(thm)],[c_945,c_147]) ).

tcf(c_947,plain,
    c_in(iPr_def_13,c_Message_Oanalz(iPr_def_14),tc_Message_Omsg),
    inference(forward_subsumption_resolution,[status(thm)],[c_946,c_755]) ).

tcf(c_948,plain,
    c_in(iPr_def_13,c_Message_Oparts(iPr_def_14),tc_Message_Omsg),
    inference(superposition,[status(thm)],[c_947,c_73]) ).

tcf(c_949,plain,
    c_in(iPr_def_13,iPr_def_17,tc_Message_Omsg),
    inference(light_normalisation,[status(thm)],[c_948,c_147]) ).

tcf(c_950,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_949,c_160]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWV300-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04  % Command  : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.38  % Computer : n013.cluster.edu
% 0.10/0.38  % Model    : x86_64 x86_64
% 0.10/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38  % Memory   : 8046.5625MB
% 0.10/0.38  % OS       : Linux 6.8.0-71-generic
% 0.10/0.38  % CPULimit : 300
% 0.10/0.38  % WCLimit  : 300
% 0.10/0.38  % DateTime : Thu Sep 24 19:05:51 UTC 2026
% 0.10/0.38  % CPUTime  : 
% 0.10/0.38  Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.42  Running first-order theorem proving
% 0.10/0.42  Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.43  
% 0.10/0.43  % ======== iProver multi-core TPTP/SMT =========
% 0.10/0.43  
% 0.10/0.43  % Detected problem language: tptp
% 0.10/0.44  % Proving...
% 1.99/1.30  % SZS status Started for theBenchmark.p
% 1.99/1.30  % SZS status Unsatisfiable for theBenchmark.p
% 1.99/1.30  
% 1.99/1.30  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.99/1.30  
% 1.99/1.30  % ------  iProver source info
% 1.99/1.30  
% 1.99/1.30  % git: date: 2026-07-19 20:42:38 +0200
% 1.99/1.30  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.99/1.30  % git: non_committed_changes: false
% 1.99/1.30  
% 1.99/1.30  % ------ Parsing...% successful
% 1.99/1.30  
% 1.99/1.30  
% 1.99/1.30  % ------ Clausification by vclausify_rel  & Parsing by iProver...% 
% 1.99/1.30  
% 1.99/1.30  % ------ Preprocessing... sf_s  rm: 0 0s  sf_e  pe_s  pe_e % 
% 1.99/1.30  
% 1.99/1.30  % ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e % 
% 1.99/1.30  
% 1.99/1.30  % ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 1.99/1.30  % ------ Proving...
% 1.99/1.30  % ------ Problem Properties 
% 1.99/1.30  
% 1.99/1.30  % 
% 1.99/1.30  % clauses                               33
% 1.99/1.30  % conjectures                           5
% 1.99/1.30  % EPR                                   5
% 1.99/1.30  % Horn                                  31
% 1.99/1.30  % unary                                 24
% 1.99/1.30  % binary                                5
% 1.99/1.30  % lits                                  46
% 1.99/1.30  % lits eq                               19
% 1.99/1.30  % fd_pure                               0
% 1.99/1.30  % fd_pseudo                             0
% 1.99/1.30  % fd_cond                               0
% 1.99/1.30  % fd_pseudo_cond                        0
% 1.99/1.30  % AC symbols                            0
% 1.99/1.30  
% 1.99/1.30  % ------ Schedule dynamic 5 is on 
% 1.99/1.30  
% 1.99/1.30  % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 1.99/1.30  
% 1.99/1.30  
% 1.99/1.30  % ------ 
% 1.99/1.30  % Current options:
% 1.99/1.30  % ------ 
% 1.99/1.30  
% 1.99/1.30  
% 1.99/1.30  % 
% 1.99/1.30  
% 1.99/1.30  % ------ Proving...
% 1.99/1.30  % 
% 1.99/1.30  
% 1.99/1.30  % SZS status Unsatisfiable for theBenchmark.p
% 1.99/1.30  
% 1.99/1.30  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.99/1.30  
% 1.99/1.30  
%------------------------------------------------------------------------------