↑ Up

iProver---3.9.4.UNS-CRf.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : SWV323-2 : 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 2.26s 6.50s
% Output   : CNFRefutation 2.26s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :   34
% Syntax   : Number of formulae    :   91 (  31 unt;  17 def)
%            Number of atoms       :  285 (  17 equ)
%            Maximal formula atoms :    4 (   3 avg)
%            Number of connectives :  149 (  72   ~;  77   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 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  :   20 (  18 usr;  18 prp; 0-3 aty)
%            Number of functors    :   29 (  29 usr;  13 con; 0-3 aty)
%            Number of variables   :  100 (   0 sgn 100   !;   0   ?;  66   :)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
    c_in(v_evs4,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).

fof(f2,negated_conjecture,
    c_in(c_Event_Oevent_OGets(v_B,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(v_X,c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OKey(v_K)))))),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).

fof(f3,negated_conjecture,
    ( ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg)
    | c_in(v_A,c_Event_Obad,tc_Message_Oagent) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_4) ).

fof(f4,negated_conjecture,
    ( ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4),tc_Message_Omsg)),tc_Message_Omsg)
    | ~ c_in(v_A,c_Event_Obad,tc_Message_Oagent) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_6) ).

fof(f5,negated_conjecture,
    ( c_in(v_A,c_Event_Obad,tc_Message_Oagent)
    | c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),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/sandbox/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/sandbox/benchmark/theBenchmark.p',cls_Event_OSays__imp__analz__Spy__dest_0) ).

fof(f7,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/theBenchmark.p',cls_Message_OFake__parts__insert__in__Un__dest_0) ).

fof(f8,axiom,
    ! [X0,X1] :
      ( c_in(c_Message_Omsg_OKey(X0),X1,tc_Message_Omsg)
      | ~ c_in(c_Message_Omsg_OKey(X0),c_Message_Osynth(X1),tc_Message_Omsg) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_OKey__synth_0) ).

fof(f9,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/sandbox/benchmark/theBenchmark.p',cls_Message_OMPair__synth__analz__iff1_0) ).

fof(f10,axiom,
    ! [X2,X0,X1] :
      ( c_in(X1,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/sandbox/benchmark/theBenchmark.p',cls_Message_OMPair__synth__analz__iff1_1) ).

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/sandbox/benchmark/theBenchmark.p',cls_Message_Oanalz__into__parts__dest_0) ).

fof(f12,axiom,
    ! [X0,X1] :
      ( c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg)
      | ~ c_in(X0,X1,tc_Message_Omsg) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Oparts_OInj_0) ).

fof(f13,axiom,
    ! [X0,X1] :
      ( c_in(X0,c_Message_Osynth(X1),tc_Message_Omsg)
      | ~ c_in(X0,X1,tc_Message_Omsg) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Osynth_OInj_0) ).

fof(f14,axiom,
    ! [X2,X0,X1] :
      ( c_in(c_Event_Oevent_OSays(v_sko__usf(X1,X2,X0),X1,X2),c_List_Oset(X0,tc_Event_Oevent),tc_Event_Oevent)
      | ~ c_in(c_Event_Oevent_OGets(X1,X2),c_List_Oset(X0,tc_Event_Oevent),tc_Event_Oevent)
      | ~ c_in(X0,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_OtwayRees_OGets__imp__Says__dest_0) ).

fof(f15,axiom,
    ! [X0,X1] :
      ( c_in(c_Message_Omsg_OKey(c_Public_OshrK(X0)),c_Event_Oknows(c_Message_Oagent_OSpy,X1),tc_Message_Omsg)
      | ~ c_in(X0,c_Event_Obad,tc_Message_Oagent) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Public_OSpy__spies__bad__shrK_0) ).

fof(f16,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/theBenchmark.p',cls_Set_OUnE_0) ).

fof(f17,axiom,
    ! [X2,X3,X0,X1] :
      ( c_in(X0,c_insert(X3,X1,X2),X2)
      | ~ c_in(X0,X1,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OinsertCI_0) ).

tcf(c_66,negated_conjecture,
    c_in(v_evs4,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)),
    inference(cnf_transformation,[],[f1]) ).

tcf(c_67,negated_conjecture,
    c_in(c_Event_Oevent_OGets(v_B,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(v_X,c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OKey(v_K)))))),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent),
    inference(cnf_transformation,[],[f2]) ).

tcf(c_68,negated_conjecture,
    ( c_in(v_A,c_Event_Obad,tc_Message_Oagent)
    | ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg) ),
    inference(cnf_transformation,[],[f3]) ).

tcf(c_69,negated_conjecture,
    ( ~ c_in(v_A,c_Event_Obad,tc_Message_Oagent)
    | ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),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,[],[f4]) ).

tcf(c_70,negated_conjecture,
    ( c_in(v_A,c_Event_Obad,tc_Message_Oagent)
    | c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),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_71,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_72,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,[],[f7]) ).

tcf(c_73,plain,
    ! [X0: $i,X1: $i] :
      ( c_in(c_Message_Omsg_OKey(X0),X1,tc_Message_Omsg)
      | ~ c_in(c_Message_Omsg_OKey(X0),c_Message_Osynth(X1),tc_Message_Omsg) ),
    inference(cnf_transformation,[],[f8]) ).

tcf(c_74,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,[],[f9]) ).

tcf(c_75,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c_in(X1,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_76,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_77,plain,
    ! [X0: $i,X1: $i] :
      ( c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg)
      | ~ c_in(X0,X1,tc_Message_Omsg) ),
    inference(cnf_transformation,[],[f12]) ).

tcf(c_78,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,[],[f13]) ).

tcf(c_79,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c_in(c_Event_Oevent_OSays(v_sko__usf(X0,X1,X2),X0,X1),c_List_Oset(X2,tc_Event_Oevent),tc_Event_Oevent)
      | ~ c_in(X2,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))
      | ~ c_in(c_Event_Oevent_OGets(X0,X1),c_List_Oset(X2,tc_Event_Oevent),tc_Event_Oevent) ),
    inference(cnf_transformation,[],[f14]) ).

tcf(c_80,plain,
    ! [X0: $i,X1: $i] :
      ( c_in(c_Message_Omsg_OKey(c_Public_OshrK(X0)),c_Event_Oknows(c_Message_Oagent_OSpy,X1),tc_Message_Omsg)
      | ~ c_in(X0,c_Event_Obad,tc_Message_Oagent) ),
    inference(cnf_transformation,[],[f15]) ).

tcf(c_81,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,[],[f16]) ).

tcf(c_82,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( c_in(X0,c_insert(X3,X1,X2),X2)
      | ~ c_in(X0,X1,X2) ),
    inference(cnf_transformation,[],[f17]) ).

tcf(c_241,definition,
    iPr_def_10 = c_Public_OshrK(v_A),
    introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).

tcf(c_242,definition,
    iPr_def_11 = c_Message_Omsg_OKey(iPr_def_10),
    introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).

tcf(c_243,definition,
    iPr_def_12 = c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4),
    introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).

tcf(c_244,definition,
    iPr_def_13 = c_insert(v_X,iPr_def_12,tc_Message_Omsg),
    introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).

tcf(c_245,definition,
    iPr_def_14 = c_Message_Oparts(iPr_def_13),
    introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).

tcf(c_246,definition,
    iPr_def_15 = c_Message_Oparts(iPr_def_12),
    introduced(definition,[new_symbols(definition,[iPr_def_15])],[]) ).

tcf(c_247,definition,
    iPr_def_16 = c_Message_Omsg_ONonce(v_NA),
    introduced(definition,[new_symbols(definition,[iPr_def_16])],[]) ).

tcf(c_248,definition,
    iPr_def_17 = c_Public_OshrK(v_B),
    introduced(definition,[new_symbols(definition,[iPr_def_17])],[]) ).

tcf(c_249,definition,
    iPr_def_18 = c_Message_Omsg_ONonce(v_NB),
    introduced(definition,[new_symbols(definition,[iPr_def_18])],[]) ).

tcf(c_250,definition,
    iPr_def_19 = c_Message_Omsg_OKey(v_K),
    introduced(definition,[new_symbols(definition,[iPr_def_19])],[]) ).

tcf(c_251,definition,
    iPr_def_20 = c_Message_Omsg_OMPair(iPr_def_18,iPr_def_19),
    introduced(definition,[new_symbols(definition,[iPr_def_20])],[]) ).

tcf(c_252,definition,
    iPr_def_21 = c_Message_Omsg_OCrypt(iPr_def_17,iPr_def_20),
    introduced(definition,[new_symbols(definition,[iPr_def_21])],[]) ).

tcf(c_253,definition,
    iPr_def_22 = c_Message_Omsg_OMPair(v_X,iPr_def_21),
    introduced(definition,[new_symbols(definition,[iPr_def_22])],[]) ).

tcf(c_254,definition,
    iPr_def_23 = c_Message_Omsg_OMPair(iPr_def_16,iPr_def_22),
    introduced(definition,[new_symbols(definition,[iPr_def_23])],[]) ).

tcf(c_255,definition,
    iPr_def_24 = c_Event_Oevent_OGets(v_B,iPr_def_23),
    introduced(definition,[new_symbols(definition,[iPr_def_24])],[]) ).

tcf(c_256,definition,
    iPr_def_25 = c_List_Oset(v_evs4,tc_Event_Oevent),
    introduced(definition,[new_symbols(definition,[iPr_def_25])],[]) ).

tcf(c_257,definition,
    iPr_def_26 = tc_List_Olist(tc_Event_Oevent),
    introduced(definition,[new_symbols(definition,[iPr_def_26])],[]) ).

tcf(c_258,negated_conjecture,
    ( c_in(iPr_def_11,iPr_def_14,tc_Message_Omsg)
    | c_in(v_A,c_Event_Obad,tc_Message_Oagent) ),
    inference(demodulation,[status(thm)],[c_70,c_243,c_244,c_245,c_241,c_242]) ).

tcf(c_259,negated_conjecture,
    ( ~ c_in(iPr_def_11,iPr_def_14,tc_Message_Omsg)
    | ~ c_in(v_A,c_Event_Obad,tc_Message_Oagent) ),
    inference(demodulation,[status(thm)],[c_69]) ).

tcf(c_260,negated_conjecture,
    ( c_in(v_A,c_Event_Obad,tc_Message_Oagent)
    | ~ c_in(iPr_def_11,iPr_def_15,tc_Message_Omsg) ),
    inference(demodulation,[status(thm)],[c_68,c_246]) ).

tcf(c_261,negated_conjecture,
    c_in(iPr_def_24,iPr_def_25,tc_Event_Oevent),
    inference(demodulation,[status(thm)],[c_67,c_256,c_250,c_249,c_251,c_248,c_252,c_253,c_247,c_254,c_255]) ).

tcf(c_262,negated_conjecture,
    c_in(v_evs4,c_OtwayRees_Ootway,iPr_def_26),
    inference(demodulation,[status(thm)],[c_66,c_257]) ).

tcf(c_1015,plain,
    ! [X0: $i] :
      ( c_in(X0,iPr_def_14,tc_Message_Omsg)
      | ~ c_in(X0,iPr_def_13,tc_Message_Omsg) ),
    inference(superposition,[status(thm)],[c_245,c_77]) ).

tcf(c_1035,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_25,tc_Event_Oevent) ),
    inference(superposition,[status(thm)],[c_256,c_71]) ).

tcf(c_1036,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c_in(X2,c_Message_Oanalz(iPr_def_12),tc_Message_Omsg)
      | ~ c_in(c_Event_Oevent_OSays(X0,X1,X2),iPr_def_25,tc_Event_Oevent) ),
    inference(light_normalisation,[status(thm)],[c_1035,c_243]) ).

tcf(c_1054,plain,
    ! [X0: $i] :
      ( c_in(c_Message_Omsg_OKey(iPr_def_10),X0,tc_Message_Omsg)
      | ~ c_in(iPr_def_11,c_Message_Osynth(X0),tc_Message_Omsg) ),
    inference(superposition,[status(thm)],[c_242,c_73]) ).

tcf(c_1055,plain,
    ! [X0: $i] :
      ( c_in(iPr_def_11,X0,tc_Message_Omsg)
      | ~ c_in(iPr_def_11,c_Message_Osynth(X0),tc_Message_Omsg) ),
    inference(light_normalisation,[status(thm)],[c_1054,c_242]) ).

tcf(c_1067,plain,
    ! [X0: $i] :
      ( c_in(X0,iPr_def_13,tc_Message_Omsg)
      | ~ c_in(X0,iPr_def_12,tc_Message_Omsg) ),
    inference(superposition,[status(thm)],[c_244,c_82]) ).

tcf(c_1091,plain,
    ! [X0: $i] :
      ( c_in(c_Message_Omsg_OKey(c_Public_OshrK(X0)),iPr_def_12,tc_Message_Omsg)
      | ~ c_in(X0,c_Event_Obad,tc_Message_Oagent) ),
    inference(superposition,[status(thm)],[c_243,c_80]) ).

tcf(c_1108,plain,
    ! [X0: $i] :
      ( c_in(c_Message_Omsg_OKey(c_Public_OshrK(X0)),iPr_def_13,tc_Message_Omsg)
      | ~ c_in(X0,c_Event_Obad,tc_Message_Oagent) ),
    inference(superposition,[status(thm)],[c_1091,c_1067]) ).

tcf(c_1172,plain,
    ! [X0: $i] :
      ( c_in(v_X,c_Message_Osynth(c_Message_Oanalz(X0)),tc_Message_Omsg)
      | ~ c_in(iPr_def_22,c_Message_Osynth(c_Message_Oanalz(X0)),tc_Message_Omsg) ),
    inference(superposition,[status(thm)],[c_253,c_74]) ).

tcf(c_1193,plain,
    ! [X0: $i] :
      ( c_in(iPr_def_22,c_Message_Osynth(c_Message_Oanalz(X0)),tc_Message_Omsg)
      | ~ c_in(iPr_def_23,c_Message_Osynth(c_Message_Oanalz(X0)),tc_Message_Omsg) ),
    inference(superposition,[status(thm)],[c_254,c_75]) ).

tcf(c_1218,plain,
    ! [X0: $i] :
      ( c_in(X0,c_union(c_Message_Osynth(c_Message_Oanalz(iPr_def_12)),c_Message_Oparts(iPr_def_12),tc_Message_Omsg),tc_Message_Omsg)
      | ~ c_in(X0,c_Message_Oparts(iPr_def_13),tc_Message_Omsg)
      | ~ c_in(v_X,c_Message_Osynth(c_Message_Oanalz(iPr_def_12)),tc_Message_Omsg) ),
    inference(superposition,[status(thm)],[c_244,c_72]) ).

tcf(c_1219,plain,
    ! [X0: $i] :
      ( c_in(X0,c_union(c_Message_Osynth(c_Message_Oanalz(iPr_def_12)),iPr_def_15,tc_Message_Omsg),tc_Message_Omsg)
      | ~ c_in(X0,iPr_def_14,tc_Message_Omsg)
      | ~ c_in(v_X,c_Message_Osynth(c_Message_Oanalz(iPr_def_12)),tc_Message_Omsg) ),
    inference(light_normalisation,[status(thm)],[c_1218,c_245,c_246]) ).

tcf(c_1233,plain,
    ( c_in(c_Message_Omsg_OKey(iPr_def_10),iPr_def_13,tc_Message_Omsg)
    | ~ c_in(v_A,c_Event_Obad,tc_Message_Oagent) ),
    inference(superposition,[status(thm)],[c_241,c_1108]) ).

tcf(c_1235,plain,
    ( c_in(iPr_def_11,iPr_def_13,tc_Message_Omsg)
    | ~ c_in(v_A,c_Event_Obad,tc_Message_Oagent) ),
    inference(light_normalisation,[status(thm)],[c_1233,c_242]) ).

tcf(c_1245,plain,
    ( c_in(iPr_def_11,iPr_def_14,tc_Message_Omsg)
    | c_in(iPr_def_11,iPr_def_13,tc_Message_Omsg) ),
    inference(superposition,[status(thm)],[c_258,c_1235]) ).

tcf(c_1250,plain,
    c_in(iPr_def_11,iPr_def_14,tc_Message_Omsg),
    inference(forward_subsumption_resolution,[status(thm)],[c_1245,c_1015]) ).

tcf(c_1251,plain,
    ~ c_in(v_A,c_Event_Obad,tc_Message_Oagent),
    inference(backward_subsumption_resolution,[status(thm)],[c_259,c_1250]) ).

tcf(c_1252,plain,
    ~ c_in(iPr_def_11,iPr_def_15,tc_Message_Omsg),
    inference(backward_subsumption_resolution,[status(thm)],[c_260,c_1251]) ).

tcf(c_1304,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c_in(c_Event_Oevent_OSays(v_sko__usf(X0,X1,X2),X0,X1),c_List_Oset(X2,tc_Event_Oevent),tc_Event_Oevent)
      | ~ c_in(X2,c_OtwayRees_Ootway,iPr_def_26)
      | ~ c_in(c_Event_Oevent_OGets(X0,X1),c_List_Oset(X2,tc_Event_Oevent),tc_Event_Oevent) ),
    inference(light_normalisation,[status(thm)],[c_79,c_257]) ).

tcf(c_1314,plain,
    ! [X0: $i,X1: $i] :
      ( c_in(c_Event_Oevent_OSays(v_sko__usf(X0,X1,v_evs4),X0,X1),iPr_def_25,tc_Event_Oevent)
      | ~ c_in(v_evs4,c_OtwayRees_Ootway,iPr_def_26)
      | ~ c_in(c_Event_Oevent_OGets(X0,X1),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent) ),
    inference(superposition,[status(thm)],[c_256,c_1304]) ).

tcf(c_1319,plain,
    ! [X0: $i,X1: $i] :
      ( c_in(c_Event_Oevent_OSays(v_sko__usf(X0,X1,v_evs4),X0,X1),iPr_def_25,tc_Event_Oevent)
      | ~ c_in(v_evs4,c_OtwayRees_Ootway,iPr_def_26)
      | ~ c_in(c_Event_Oevent_OGets(X0,X1),iPr_def_25,tc_Event_Oevent) ),
    inference(light_normalisation,[status(thm)],[c_1314,c_256]) ).

tcf(c_1320,plain,
    ! [X0: $i,X1: $i] :
      ( c_in(c_Event_Oevent_OSays(v_sko__usf(X0,X1,v_evs4),X0,X1),iPr_def_25,tc_Event_Oevent)
      | ~ c_in(c_Event_Oevent_OGets(X0,X1),iPr_def_25,tc_Event_Oevent) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_1319,c_262]) ).

tcf(c_1370,plain,
    ! [X0: $i,X1: $i] :
      ( c_in(X1,c_Message_Oanalz(iPr_def_12),tc_Message_Omsg)
      | ~ c_in(c_Event_Oevent_OGets(X0,X1),iPr_def_25,tc_Event_Oevent) ),
    inference(superposition,[status(thm)],[c_1320,c_1036]) ).

tcf(c_1378,plain,
    ( c_in(iPr_def_23,c_Message_Oanalz(iPr_def_12),tc_Message_Omsg)
    | ~ c_in(iPr_def_24,iPr_def_25,tc_Event_Oevent) ),
    inference(superposition,[status(thm)],[c_255,c_1370]) ).

tcf(c_1379,plain,
    c_in(iPr_def_23,c_Message_Oanalz(iPr_def_12),tc_Message_Omsg),
    inference(forward_subsumption_resolution,[status(thm)],[c_1378,c_261]) ).

tcf(c_1386,plain,
    ! [X0: $i] :
      ( c_in(iPr_def_22,c_Message_Osynth(c_Message_Oanalz(X0)),tc_Message_Omsg)
      | ~ c_in(iPr_def_23,c_Message_Oanalz(X0),tc_Message_Omsg) ),
    inference(superposition,[status(thm)],[c_78,c_1193]) ).

tcf(c_1395,plain,
    ! [X0: $i] :
      ( c_in(v_X,c_Message_Osynth(c_Message_Oanalz(X0)),tc_Message_Omsg)
      | ~ c_in(iPr_def_23,c_Message_Oanalz(X0),tc_Message_Omsg) ),
    inference(superposition,[status(thm)],[c_1386,c_1172]) ).

tcf(c_1423,plain,
    ! [X0: $i] :
      ( c_in(X0,iPr_def_15,tc_Message_Omsg)
      | c_in(X0,c_Message_Osynth(c_Message_Oanalz(iPr_def_12)),tc_Message_Omsg)
      | ~ c_in(X0,iPr_def_14,tc_Message_Omsg)
      | ~ c_in(v_X,c_Message_Osynth(c_Message_Oanalz(iPr_def_12)),tc_Message_Omsg) ),
    inference(superposition,[status(thm)],[c_1219,c_81]) ).

tcf(c_1472,plain,
    ! [X0: $i] :
      ( c_in(X0,iPr_def_15,tc_Message_Omsg)
      | c_in(X0,c_Message_Osynth(c_Message_Oanalz(iPr_def_12)),tc_Message_Omsg)
      | ~ c_in(X0,iPr_def_14,tc_Message_Omsg)
      | ~ c_in(iPr_def_23,c_Message_Oanalz(iPr_def_12),tc_Message_Omsg) ),
    inference(superposition,[status(thm)],[c_1395,c_1423]) ).

tcf(c_1478,plain,
    ! [X0: $i] :
      ( c_in(X0,iPr_def_15,tc_Message_Omsg)
      | c_in(X0,c_Message_Osynth(c_Message_Oanalz(iPr_def_12)),tc_Message_Omsg)
      | ~ c_in(X0,iPr_def_14,tc_Message_Omsg) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_1472,c_1379]) ).

tcf(c_1496,plain,
    ( c_in(iPr_def_11,iPr_def_15,tc_Message_Omsg)
    | c_in(iPr_def_11,c_Message_Oanalz(iPr_def_12),tc_Message_Omsg)
    | ~ c_in(iPr_def_11,iPr_def_14,tc_Message_Omsg) ),
    inference(superposition,[status(thm)],[c_1478,c_1055]) ).

tcf(c_1503,plain,
    c_in(iPr_def_11,c_Message_Oanalz(iPr_def_12),tc_Message_Omsg),
    inference(forward_subsumption_resolution,[status(thm)],[c_1496,c_1252,c_1250]) ).

tcf(c_1530,plain,
    c_in(iPr_def_11,c_Message_Oparts(iPr_def_12),tc_Message_Omsg),
    inference(superposition,[status(thm)],[c_1503,c_76]) ).

tcf(c_1531,plain,
    c_in(iPr_def_11,iPr_def_15,tc_Message_Omsg),
    inference(light_normalisation,[status(thm)],[c_1530,c_246]) ).

tcf(c_1532,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_1531,c_1252]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWV323-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04  % Command  : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/5.58  % Computer : n004.cluster.edu
% 0.09/5.58  % Model    : x86_64 x86_64
% 0.09/5.58  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.58  % Memory   : 8046.5625MB
% 0.09/5.58  % OS       : Linux 6.8.0-71-generic
% 0.09/5.58  % CPULimit : 300
% 0.09/5.58  % WCLimit  : 300
% 0.09/5.58  % DateTime : Thu Sep 24 19:13:14 UTC 2026
% 0.09/5.58  % CPUTime  : 
% 0.09/5.58  Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.14/5.62  Running first-order theorem proving
% 0.14/5.62  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
% 0.14/5.63  
% 0.14/5.63  % ======== iProver multi-core TPTP/SMT =========
% 0.14/5.63  
% 0.14/5.63  % Detected problem language: tptp
% 0.14/5.64  % Proving...
% 2.26/6.50  % SZS status Started for theBenchmark.p
% 2.26/6.50  % SZS status Unsatisfiable for theBenchmark.p
% 2.26/6.50  
% 2.26/6.50  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.26/6.50  
% 2.26/6.50  % ------  iProver source info
% 2.26/6.50  
% 2.26/6.50  % git: date: 2026-07-19 20:42:38 +0200
% 2.26/6.50  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.26/6.50  % git: non_committed_changes: false
% 2.26/6.50  
% 2.26/6.50  % ------ Parsing...% successful
% 2.26/6.50  
% 2.26/6.50  
% 2.26/6.50  % ------ Clausification by vclausify_rel  & Parsing by iProver...% 
% 2.26/6.50  
% 2.26/6.50  % ------ Preprocessing... sf_s  rm: 0 0s  sf_e  pe_s  pe_e % 
% 2.26/6.50  
% 2.26/6.50  % ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e % 
% 2.26/6.50  
% 2.26/6.50  % ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 2.26/6.50  % ------ Proving...
% 2.26/6.50  % ------ Problem Properties 
% 2.26/6.50  
% 2.26/6.50  % 
% 2.26/6.50  % clauses                               34
% 2.26/6.50  % conjectures                           5
% 2.26/6.50  % EPR                                   5
% 2.26/6.50  % Horn                                  32
% 2.26/6.50  % unary                                 19
% 2.26/6.50  % binary                                12
% 2.26/6.50  % lits                                  52
% 2.26/6.50  % lits eq                               17
% 2.26/6.50  % fd_pure                               0
% 2.26/6.50  % fd_pseudo                             0
% 2.26/6.50  % fd_cond                               0
% 2.26/6.50  % fd_pseudo_cond                        0
% 2.26/6.50  % AC symbols                            0
% 2.26/6.50  
% 2.26/6.50  % ------ Schedule dynamic 5 is on 
% 2.26/6.50  
% 2.26/6.50  % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 2.26/6.50  
% 2.26/6.50  
% 2.26/6.50  % ------ 
% 2.26/6.50  % Current options:
% 2.26/6.50  % ------ 
% 2.26/6.50  
% 2.26/6.50  
% 2.26/6.50  % 
% 2.26/6.50  
% 2.26/6.50  % ------ Proving...
% 2.26/6.50  % 
% 2.26/6.50  
% 2.26/6.50  % SZS status Unsatisfiable for theBenchmark.p
% 2.26/6.50  
% 2.26/6.50  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.26/6.50  
% 2.26/6.50  
%------------------------------------------------------------------------------