TSTP Solution File: SWV311-2 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SWV311-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s

% Computer : n010.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 : Wed Aug 31 18:56:18 EDT 2022

% Result   : Unsatisfiable 0.19s 0.52s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :   31
% Syntax   : Number of formulae    :   73 (  45 unt;   0 def)
%            Number of atoms       :  116 (  27 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   91 (  48   ~;  43   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   3 avg)
%            Maximal term depth    :   11 (   2 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :   48 (  48 usr;  34 con; 0-5 aty)
%            Number of variables   :   69 (  69   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f148,plain,
    $false,
    inference(subsumption_resolution,[],[f147,f111]) ).

fof(f111,plain,
    c_in(sF8,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg),
    inference(resolution,[],[f109,f3]) ).

fof(f3,axiom,
    ! [X6,X5] :
      ( ~ c_in(X6,c_Message_Oanalz(X5),tc_Message_Omsg)
      | c_in(X6,c_Message_Oparts(X5),tc_Message_Omsg) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Oanalz__into__parts__dest_0) ).

fof(f109,plain,
    c_in(sF8,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg),
    inference(resolution,[],[f71,f53]) ).

fof(f53,plain,
    ! [X10] :
      ( ~ c_in(sF14,c_Message_Oanalz(X10),tc_Message_Omsg)
      | c_in(sF8,c_Message_Oanalz(X10),tc_Message_Omsg) ),
    inference(superposition,[],[f2,f32]) ).

fof(f32,plain,
    c_Message_Omsg_OMPair(sF13,sF8) = sF14,
    introduced(function_definition,[]) ).

fof(f2,axiom,
    ! [X2,X4,X5] :
      ( ~ c_in(c_Message_Omsg_OMPair(X2,X4),c_Message_Oanalz(X5),tc_Message_Omsg)
      | c_in(X4,c_Message_Oanalz(X5),tc_Message_Omsg) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_OMPair__analz_0) ).

fof(f71,plain,
    c_in(sF14,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg),
    inference(resolution,[],[f69,f52]) ).

fof(f52,plain,
    ! [X9] :
      ( ~ c_in(sF15,c_Message_Oanalz(X9),tc_Message_Omsg)
      | c_in(sF14,c_Message_Oanalz(X9),tc_Message_Omsg) ),
    inference(superposition,[],[f2,f33]) ).

fof(f33,plain,
    c_Message_Omsg_OMPair(sF2,sF14) = sF15,
    introduced(function_definition,[]) ).

fof(f69,plain,
    c_in(sF15,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg),
    inference(resolution,[],[f67,f51]) ).

fof(f51,plain,
    ! [X8] :
      ( ~ c_in(sF16,c_Message_Oanalz(X8),tc_Message_Omsg)
      | c_in(sF15,c_Message_Oanalz(X8),tc_Message_Omsg) ),
    inference(superposition,[],[f2,f34]) ).

fof(f34,plain,
    c_Message_Omsg_OMPair(sF1,sF15) = sF16,
    introduced(function_definition,[]) ).

fof(f67,plain,
    c_in(sF16,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg),
    inference(resolution,[],[f66,f46]) ).

fof(f46,plain,
    ! [X3] :
      ( ~ c_in(sF17,c_Message_Oanalz(X3),tc_Message_Omsg)
      | c_in(sF16,c_Message_Oanalz(X3),tc_Message_Omsg) ),
    inference(superposition,[],[f2,f42]) ).

fof(f42,plain,
    sF17 = c_Message_Omsg_OMPair(v_NA,sF16),
    inference(superposition,[],[f35,f25]) ).

fof(f25,plain,
    v_NA = sF0,
    inference(definition_folding,[],[f12,f14]) ).

fof(f14,plain,
    c_Message_Omsg_ONonce(v_NAa) = sF0,
    introduced(function_definition,[]) ).

fof(f12,axiom,
    c_Message_Omsg_ONonce(v_NAa) = v_NA,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_5) ).

fof(f35,plain,
    sF17 = c_Message_Omsg_OMPair(sF0,sF16),
    introduced(function_definition,[]) ).

fof(f66,plain,
    c_in(sF17,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg),
    inference(subsumption_resolution,[],[f65,f37]) ).

fof(f37,plain,
    c_in(sF18,sF9,tc_Event_Oevent),
    inference(definition_folding,[],[f10,f23,f36,f35,f34,f33,f32,f22,f21,f20,f19,f16,f15,f18,f14,f17,f31,f30,f19,f16,f15,f14,f29,f16,f15,f14]) ).

fof(f29,plain,
    c_Public_OshrK(v_Aa) = sF11,
    introduced(function_definition,[]) ).

fof(f30,plain,
    c_Message_Omsg_OMPair(sF0,sF5) = sF12,
    introduced(function_definition,[]) ).

fof(f31,plain,
    sF13 = c_Message_Omsg_OCrypt(sF11,sF12),
    introduced(function_definition,[]) ).

fof(f17,plain,
    c_Public_OshrK(v_Ba) = sF3,
    introduced(function_definition,[]) ).

fof(f18,plain,
    c_Message_Omsg_ONonce(v_NBa) = sF4,
    introduced(function_definition,[]) ).

fof(f15,plain,
    c_Message_Omsg_OAgent(v_Aa) = sF1,
    introduced(function_definition,[]) ).

fof(f16,plain,
    c_Message_Omsg_OAgent(v_Ba) = sF2,
    introduced(function_definition,[]) ).

fof(f19,plain,
    sF5 = c_Message_Omsg_OMPair(sF1,sF2),
    introduced(function_definition,[]) ).

fof(f20,plain,
    c_Message_Omsg_OMPair(sF4,sF5) = sF6,
    introduced(function_definition,[]) ).

fof(f21,plain,
    c_Message_Omsg_OMPair(sF0,sF6) = sF7,
    introduced(function_definition,[]) ).

fof(f22,plain,
    c_Message_Omsg_OCrypt(sF3,sF7) = sF8,
    introduced(function_definition,[]) ).

fof(f36,plain,
    c_Event_Oevent_OGets(c_Message_Oagent_OServer,sF17) = sF18,
    introduced(function_definition,[]) ).

fof(f23,plain,
    c_List_Oset(v_evs3,tc_Event_Oevent) = sF9,
    introduced(function_definition,[]) ).

fof(f10,axiom,
    c_in(c_Event_Oevent_OGets(c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_Ba)))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_Ba)))))))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).

fof(f65,plain,
    ( c_in(sF17,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)
    | ~ c_in(sF18,sF9,tc_Event_Oevent) ),
    inference(superposition,[],[f64,f36]) ).

fof(f64,plain,
    ! [X0,X1] :
      ( ~ c_in(c_Event_Oevent_OGets(X0,X1),sF9,tc_Event_Oevent)
      | c_in(X1,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg) ),
    inference(resolution,[],[f63,f58]) ).

fof(f58,plain,
    ! [X2,X0,X1] :
      ( ~ c_in(c_Event_Oevent_OSays(X0,X1,X2),sF9,tc_Event_Oevent)
      | c_in(X2,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg) ),
    inference(superposition,[],[f1,f23]) ).

fof(f1,axiom,
    ! [X2,X3,X0,X1] :
      ( ~ c_in(c_Event_Oevent_OSays(X0,X1,X2),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent)
      | c_in(X2,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Event_OSays__imp__analz__Spy__dest_0) ).

fof(f63,plain,
    ! [X0,X1] :
      ( c_in(c_Event_Oevent_OSays(v_sko__usf(X0,X1,v_evs3),X0,X1),sF9,tc_Event_Oevent)
      | ~ c_in(c_Event_Oevent_OGets(X0,X1),sF9,tc_Event_Oevent) ),
    inference(subsumption_resolution,[],[f62,f27]) ).

fof(f27,plain,
    c_in(v_evs3,c_OtwayRees_Ootway,sF10),
    inference(definition_folding,[],[f7,f26]) ).

fof(f26,plain,
    tc_List_Olist(tc_Event_Oevent) = sF10,
    introduced(function_definition,[]) ).

fof(f7,axiom,
    c_in(v_evs3,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).

fof(f62,plain,
    ! [X0,X1] :
      ( c_in(c_Event_Oevent_OSays(v_sko__usf(X0,X1,v_evs3),X0,X1),sF9,tc_Event_Oevent)
      | ~ c_in(v_evs3,c_OtwayRees_Ootway,sF10)
      | ~ c_in(c_Event_Oevent_OGets(X0,X1),sF9,tc_Event_Oevent) ),
    inference(forward_demodulation,[],[f60,f26]) ).

fof(f60,plain,
    ! [X0,X1] :
      ( c_in(c_Event_Oevent_OSays(v_sko__usf(X0,X1,v_evs3),X0,X1),sF9,tc_Event_Oevent)
      | ~ c_in(c_Event_Oevent_OGets(X0,X1),sF9,tc_Event_Oevent)
      | ~ c_in(v_evs3,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)) ),
    inference(superposition,[],[f5,f23]) ).

fof(f5,axiom,
    ! [X2,X3,X1] :
      ( c_in(c_Event_Oevent_OSays(v_sko__usf(X1,X2,X3),X1,X2),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent)
      | ~ c_in(X3,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))
      | ~ c_in(c_Event_Oevent_OGets(X1,X2),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_OtwayRees_OGets__imp__Says__dest_0) ).

fof(f147,plain,
    ~ c_in(sF8,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg),
    inference(forward_demodulation,[],[f146,f22]) ).

fof(f146,plain,
    ~ c_in(c_Message_Omsg_OCrypt(sF3,sF7),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg),
    inference(subsumption_resolution,[],[f145,f38]) ).

fof(f38,plain,
    ! [X9] : ~ c_in(c_Event_Oevent_OSays(v_Ba,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(sF1,c_Message_Omsg_OMPair(sF2,c_Message_Omsg_OMPair(X9,sF8))))),sF9,tc_Event_Oevent),
    inference(forward_demodulation,[],[f24,f25]) ).

fof(f24,plain,
    ! [X9] : ~ c_in(c_Event_Oevent_OSays(v_Ba,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(sF0,c_Message_Omsg_OMPair(sF1,c_Message_Omsg_OMPair(sF2,c_Message_Omsg_OMPair(X9,sF8))))),sF9,tc_Event_Oevent),
    inference(definition_folding,[],[f9,f23,f22,f21,f20,f19,f16,f15,f18,f14,f17,f16,f15,f14]) ).

fof(f9,axiom,
    ! [X9] : ~ c_in(c_Event_Oevent_OSays(v_Ba,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(X9,c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_Ba)))))))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_12) ).

fof(f145,plain,
    ( c_in(c_Event_Oevent_OSays(v_Ba,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(sF1,c_Message_Omsg_OMPair(sF2,c_Message_Omsg_OMPair(v_sko__u__1(v_Aa,v_Ba,v_NA,v_NB,v_evs3),sF8))))),sF9,tc_Event_Oevent)
    | ~ c_in(c_Message_Omsg_OCrypt(sF3,sF7),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg) ),
    inference(forward_demodulation,[],[f143,f22]) ).

fof(f143,plain,
    ( c_in(c_Event_Oevent_OSays(v_Ba,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(sF1,c_Message_Omsg_OMPair(sF2,c_Message_Omsg_OMPair(v_sko__u__1(v_Aa,v_Ba,v_NA,v_NB,v_evs3),c_Message_Omsg_OCrypt(sF3,sF7)))))),sF9,tc_Event_Oevent)
    | ~ c_in(c_Message_Omsg_OCrypt(sF3,sF7),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg) ),
    inference(superposition,[],[f138,f40]) ).

fof(f40,plain,
    sF7 = c_Message_Omsg_OMPair(v_NA,sF6),
    inference(superposition,[],[f21,f25]) ).

fof(f138,plain,
    ! [X0] :
      ( c_in(c_Event_Oevent_OSays(v_Ba,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(X0,c_Message_Omsg_OMPair(sF1,c_Message_Omsg_OMPair(sF2,c_Message_Omsg_OMPair(v_sko__u__1(v_Aa,v_Ba,X0,v_NB,v_evs3),c_Message_Omsg_OCrypt(sF3,c_Message_Omsg_OMPair(X0,sF6))))))),sF9,tc_Event_Oevent)
      | ~ c_in(c_Message_Omsg_OCrypt(sF3,c_Message_Omsg_OMPair(X0,sF6)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg) ),
    inference(superposition,[],[f135,f39]) ).

fof(f39,plain,
    c_Message_Omsg_OMPair(v_NB,sF5) = sF6,
    inference(forward_demodulation,[],[f20,f28]) ).

fof(f28,plain,
    v_NB = sF4,
    inference(definition_folding,[],[f8,f18]) ).

fof(f8,axiom,
    v_NB = c_Message_Omsg_ONonce(v_NBa),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_10) ).

fof(f135,plain,
    ! [X0,X1] :
      ( c_in(c_Event_Oevent_OSays(v_Ba,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(X0,c_Message_Omsg_OMPair(sF1,c_Message_Omsg_OMPair(sF2,c_Message_Omsg_OMPair(v_sko__u__1(v_Aa,v_Ba,X0,X1,v_evs3),c_Message_Omsg_OCrypt(sF3,c_Message_Omsg_OMPair(X0,c_Message_Omsg_OMPair(X1,sF5)))))))),sF9,tc_Event_Oevent)
      | ~ c_in(c_Message_Omsg_OCrypt(sF3,c_Message_Omsg_OMPair(X0,c_Message_Omsg_OMPair(X1,sF5))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg) ),
    inference(subsumption_resolution,[],[f134,f27]) ).

fof(f134,plain,
    ! [X0,X1] :
      ( c_in(c_Event_Oevent_OSays(v_Ba,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(X0,c_Message_Omsg_OMPair(sF1,c_Message_Omsg_OMPair(sF2,c_Message_Omsg_OMPair(v_sko__u__1(v_Aa,v_Ba,X0,X1,v_evs3),c_Message_Omsg_OCrypt(sF3,c_Message_Omsg_OMPair(X0,c_Message_Omsg_OMPair(X1,sF5)))))))),sF9,tc_Event_Oevent)
      | ~ c_in(c_Message_Omsg_OCrypt(sF3,c_Message_Omsg_OMPair(X0,c_Message_Omsg_OMPair(X1,sF5))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)
      | ~ c_in(v_evs3,c_OtwayRees_Ootway,sF10) ),
    inference(superposition,[],[f128,f23]) ).

fof(f128,plain,
    ! [X2,X0,X1] :
      ( c_in(c_Event_Oevent_OSays(v_Ba,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(X0,c_Message_Omsg_OMPair(sF1,c_Message_Omsg_OMPair(sF2,c_Message_Omsg_OMPair(v_sko__u__1(v_Aa,v_Ba,X0,X1,X2),c_Message_Omsg_OCrypt(sF3,c_Message_Omsg_OMPair(X0,c_Message_Omsg_OMPair(X1,sF5)))))))),c_List_Oset(X2,tc_Event_Oevent),tc_Event_Oevent)
      | ~ c_in(c_Message_Omsg_OCrypt(sF3,c_Message_Omsg_OMPair(X0,c_Message_Omsg_OMPair(X1,sF5))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg)
      | ~ c_in(X2,c_OtwayRees_Ootway,sF10) ),
    inference(forward_demodulation,[],[f127,f19]) ).

fof(f127,plain,
    ! [X2,X0,X1] :
      ( ~ c_in(c_Message_Omsg_OCrypt(sF3,c_Message_Omsg_OMPair(X0,c_Message_Omsg_OMPair(X1,sF5))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg)
      | ~ c_in(X2,c_OtwayRees_Ootway,sF10)
      | c_in(c_Event_Oevent_OSays(v_Ba,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(X0,c_Message_Omsg_OMPair(sF1,c_Message_Omsg_OMPair(sF2,c_Message_Omsg_OMPair(v_sko__u__1(v_Aa,v_Ba,X0,X1,X2),c_Message_Omsg_OCrypt(sF3,c_Message_Omsg_OMPair(X0,c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(sF1,sF2))))))))),c_List_Oset(X2,tc_Event_Oevent),tc_Event_Oevent) ),
    inference(forward_demodulation,[],[f124,f19]) ).

fof(f124,plain,
    ! [X2,X0,X1] :
      ( ~ c_in(c_Message_Omsg_OCrypt(sF3,c_Message_Omsg_OMPair(X0,c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(sF1,sF2)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg)
      | ~ c_in(X2,c_OtwayRees_Ootway,sF10)
      | c_in(c_Event_Oevent_OSays(v_Ba,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(X0,c_Message_Omsg_OMPair(sF1,c_Message_Omsg_OMPair(sF2,c_Message_Omsg_OMPair(v_sko__u__1(v_Aa,v_Ba,X0,X1,X2),c_Message_Omsg_OCrypt(sF3,c_Message_Omsg_OMPair(X0,c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(sF1,sF2))))))))),c_List_Oset(X2,tc_Event_Oevent),tc_Event_Oevent) ),
    inference(superposition,[],[f85,f15]) ).

fof(f85,plain,
    ! [X2,X3,X0,X1] :
      ( c_in(c_Event_Oevent_OSays(v_Ba,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(X0,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(sF2,c_Message_Omsg_OMPair(v_sko__u__1(X1,v_Ba,X0,X2,X3),c_Message_Omsg_OCrypt(sF3,c_Message_Omsg_OMPair(X0,c_Message_Omsg_OMPair(X2,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),sF2))))))))),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent)
      | ~ c_in(c_Message_Omsg_OCrypt(sF3,c_Message_Omsg_OMPair(X0,c_Message_Omsg_OMPair(X2,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),sF2)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg)
      | ~ c_in(X3,c_OtwayRees_Ootway,sF10) ),
    inference(forward_demodulation,[],[f84,f26]) ).

fof(f84,plain,
    ! [X2,X3,X0,X1] :
      ( ~ c_in(X3,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))
      | c_in(c_Event_Oevent_OSays(v_Ba,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(X0,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(sF2,c_Message_Omsg_OMPair(v_sko__u__1(X1,v_Ba,X0,X2,X3),c_Message_Omsg_OCrypt(sF3,c_Message_Omsg_OMPair(X0,c_Message_Omsg_OMPair(X2,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),sF2))))))))),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent)
      | ~ c_in(c_Message_Omsg_OCrypt(sF3,c_Message_Omsg_OMPair(X0,c_Message_Omsg_OMPair(X2,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),sF2)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg) ),
    inference(forward_demodulation,[],[f83,f16]) ).

fof(f83,plain,
    ! [X2,X3,X0,X1] :
      ( ~ c_in(c_Message_Omsg_OCrypt(sF3,c_Message_Omsg_OMPair(X0,c_Message_Omsg_OMPair(X2,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),sF2)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg)
      | c_in(c_Event_Oevent_OSays(v_Ba,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(X0,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(v_sko__u__1(X1,v_Ba,X0,X2,X3),c_Message_Omsg_OCrypt(sF3,c_Message_Omsg_OMPair(X0,c_Message_Omsg_OMPair(X2,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OAgent(v_Ba)))))))))),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent)
      | ~ c_in(X3,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)) ),
    inference(forward_demodulation,[],[f82,f16]) ).

fof(f82,plain,
    ! [X2,X3,X0,X1] :
      ( ~ c_in(c_Message_Omsg_OCrypt(sF3,c_Message_Omsg_OMPair(X0,c_Message_Omsg_OMPair(X2,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OAgent(v_Ba))))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg)
      | c_in(c_Event_Oevent_OSays(v_Ba,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(X0,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(v_sko__u__1(X1,v_Ba,X0,X2,X3),c_Message_Omsg_OCrypt(sF3,c_Message_Omsg_OMPair(X0,c_Message_Omsg_OMPair(X2,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OAgent(v_Ba)))))))))),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent)
      | ~ c_in(X3,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)) ),
    inference(subsumption_resolution,[],[f74,f13]) ).

fof(f13,plain,
    ~ c_in(v_Ba,c_Event_Obad,tc_Message_Oagent),
    inference(definition_unfolding,[],[f6,f11]) ).

fof(f11,axiom,
    v_B = v_Ba,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_4) ).

fof(f6,axiom,
    ~ c_in(v_B,c_Event_Obad,tc_Message_Oagent),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).

fof(f74,plain,
    ! [X2,X3,X0,X1] :
      ( c_in(c_Event_Oevent_OSays(v_Ba,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(X0,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(v_sko__u__1(X1,v_Ba,X0,X2,X3),c_Message_Omsg_OCrypt(sF3,c_Message_Omsg_OMPair(X0,c_Message_Omsg_OMPair(X2,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OAgent(v_Ba)))))))))),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent)
      | ~ c_in(c_Message_Omsg_OCrypt(sF3,c_Message_Omsg_OMPair(X0,c_Message_Omsg_OMPair(X2,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OAgent(v_Ba))))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg)
      | ~ c_in(X3,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))
      | c_in(v_Ba,c_Event_Obad,tc_Message_Oagent) ),
    inference(superposition,[],[f4,f17]) ).

fof(f4,axiom,
    ! [X3,X0,X1,X8,X7] :
      ( c_in(c_Event_Oevent_OSays(X1,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(X7,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X0),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(v_sko__u__1(X0,X1,X7,X8,X3),c_Message_Omsg_OCrypt(c_Public_OshrK(X1),c_Message_Omsg_OMPair(X7,c_Message_Omsg_OMPair(X8,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X0),c_Message_Omsg_OAgent(X1)))))))))),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent)
      | ~ c_in(X3,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))
      | ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X1),c_Message_Omsg_OMPair(X7,c_Message_Omsg_OMPair(X8,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X0),c_Message_Omsg_OAgent(X1))))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg)
      | c_in(X1,c_Event_Obad,tc_Message_Oagent) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_OtwayRees_OCrypt__imp__OR2__dest_0) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem    : SWV311-2 : TPTP v8.1.0. Released v3.2.0.
% 0.10/0.12  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.33  % Computer : n010.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit   : 300
% 0.13/0.33  % WCLimit    : 300
% 0.13/0.33  % DateTime   : Tue Aug 30 19:07:43 EDT 2022
% 0.13/0.33  % CPUTime    : 
% 0.19/0.48  % (6540)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.19/0.49  TRYING [1]
% 0.19/0.49  % (6535)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.19/0.49  % (6535)First to succeed.
% 0.19/0.50  % (6545)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.19/0.50  % (6548)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.19/0.50  TRYING [2]
% 0.19/0.50  % (6537)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.19/0.50  % (6529)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.51  TRYING [1]
% 0.19/0.51  TRYING [2]
% 0.19/0.51  % (6524)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.51  % (6532)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.51  % (6524)Refutation not found, incomplete strategy% (6524)------------------------------
% 0.19/0.51  % (6524)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51  % (6524)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51  % (6524)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.51  
% 0.19/0.51  % (6524)Memory used [KB]: 5500
% 0.19/0.51  % (6524)Time elapsed: 0.112 s
% 0.19/0.51  % (6524)Instructions burned: 3 (million)
% 0.19/0.51  % (6524)------------------------------
% 0.19/0.51  % (6524)------------------------------
% 0.19/0.52  % (6530)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.52  % (6545)Also succeeded, but the first one will report.
% 0.19/0.52  % (6535)Refutation found. Thanks to Tanya!
% 0.19/0.52  % SZS status Unsatisfiable for theBenchmark
% 0.19/0.52  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.52  % (6535)------------------------------
% 0.19/0.52  % (6535)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52  % (6535)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52  % (6535)Termination reason: Refutation
% 0.19/0.52  
% 0.19/0.52  % (6535)Memory used [KB]: 5756
% 0.19/0.52  % (6535)Time elapsed: 0.108 s
% 0.19/0.52  % (6535)Instructions burned: 10 (million)
% 0.19/0.52  % (6535)------------------------------
% 0.19/0.52  % (6535)------------------------------
% 0.19/0.52  % (6522)Success in time 0.175 s
%------------------------------------------------------------------------------