TSTP Solution File: SWV319-2 by LEO-II---1.7.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : LEO-II---1.7.0
% Problem  : SWV319-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp
% Command  : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s

% Computer : n011.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  : 600s
% DateTime : Wed Jul 20 20:11:48 EDT 2022

% Result   : Unsatisfiable 0.19s 0.41s
% Output   : CNFRefutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   34
% Syntax   : Number of formulae    :   88 (  44 unt;  24 typ;   0 def)
%            Number of atoms       :  245 (  70 equ;   0 cnn)
%            Maximal formula atoms :    2 (   3 avg)
%            Number of connectives :  658 (  44   ~;  49   |;   0   &; 565   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   3 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   19 (  19   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   27 (  24 usr;  15 con; 0-3 aty)
%            Number of variables   :  122 (   0   ^ 122   !;   0   ?; 122   :)

% Comments : 
%------------------------------------------------------------------------------
thf(tp_c_Event_Obad,type,
    c_Event_Obad: $i ).

thf(tp_c_Event_Oevent_OSays,type,
    c_Event_Oevent_OSays: $i > $i > $i > $i ).

thf(tp_c_Event_Oknows,type,
    c_Event_Oknows: $i > $i > $i ).

thf(tp_c_List_Oset,type,
    c_List_Oset: $i > $i > $i ).

thf(tp_c_Message_Oagent_OServer,type,
    c_Message_Oagent_OServer: $i ).

thf(tp_c_Message_Oagent_OSpy,type,
    c_Message_Oagent_OSpy: $i ).

thf(tp_c_Message_Oanalz,type,
    c_Message_Oanalz: $i > $i ).

thf(tp_c_Message_Omsg_OCrypt,type,
    c_Message_Omsg_OCrypt: $i > $i > $i ).

thf(tp_c_Message_Omsg_OKey,type,
    c_Message_Omsg_OKey: $i > $i ).

thf(tp_c_Message_Omsg_OMPair,type,
    c_Message_Omsg_OMPair: $i > $i > $i ).

thf(tp_c_Message_Omsg_ONonce,type,
    c_Message_Omsg_ONonce: $i > $i ).

thf(tp_c_Message_Oparts,type,
    c_Message_Oparts: $i > $i ).

thf(tp_c_Public_OshrK,type,
    c_Public_OshrK: $i > $i ).

thf(tp_c_in,type,
    c_in: $i > $i > $i > $o ).

thf(tp_tc_Event_Oevent,type,
    tc_Event_Oevent: $i ).

thf(tp_tc_Message_Oagent,type,
    tc_Message_Oagent: $i ).

thf(tp_tc_Message_Omsg,type,
    tc_Message_Omsg: $i ).

thf(tp_v_A,type,
    v_A: $i ).

thf(tp_v_B,type,
    v_B: $i ).

thf(tp_v_K,type,
    v_K: $i ).

thf(tp_v_NA,type,
    v_NA: $i ).

thf(tp_v_NB,type,
    v_NB: $i ).

thf(tp_v_X,type,
    v_X: $i ).

thf(tp_v_evso,type,
    v_evso: $i ).

thf(1,axiom,
    ! [V_K: $i,V_X: $i,V_H: $i] :
      ( ~ ( c_in @ ( c_Message_Omsg_OCrypt @ V_K @ V_X ) @ ( c_Message_Oparts @ V_H ) @ tc_Message_Omsg )
      | ( c_in @ V_X @ ( c_Message_Oparts @ V_H ) @ tc_Message_Omsg ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Oparts_OBody__dest_0) ).

thf(2,axiom,
    ! [V_X: $i,V_H: $i] :
      ( ~ ( c_in @ V_X @ ( c_Message_Oanalz @ V_H ) @ tc_Message_Omsg )
      | ( c_in @ V_X @ ( c_Message_Oparts @ V_H ) @ tc_Message_Omsg ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Oanalz__conj__parts_0) ).

thf(3,axiom,
    ! [V_X: $i,V_Y: $i,V_H: $i] :
      ( ~ ( c_in @ ( c_Message_Omsg_OMPair @ V_X @ V_Y ) @ ( c_Message_Oparts @ V_H ) @ tc_Message_Omsg )
      | ( c_in @ V_Y @ ( c_Message_Oparts @ V_H ) @ tc_Message_Omsg ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_OMPair__parts_0) ).

thf(4,axiom,
    ! [V_X: $i,V_Y: $i,V_H: $i] :
      ( ~ ( c_in @ ( c_Message_Omsg_OMPair @ V_X @ V_Y ) @ ( c_Message_Oanalz @ V_H ) @ tc_Message_Omsg )
      | ( c_in @ V_Y @ ( c_Message_Oanalz @ V_H ) @ tc_Message_Omsg ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_OMPair__analz_0) ).

thf(5,axiom,
    ! [V_A: $i,V_B: $i,V_X: $i,V_evs: $i] :
      ( ~ ( c_in @ ( c_Event_Oevent_OSays @ V_A @ V_B @ V_X ) @ ( c_List_Oset @ V_evs @ tc_Event_Oevent ) @ tc_Event_Oevent )
      | ( c_in @ V_X @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) ) @ tc_Message_Omsg ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Event_OSays__imp__analz__Spy__dest_0) ).

thf(6,conjecture,
    $false,
    file('no conjecture given, we try to refute the axioms',dummy_conjecture) ).

thf(7,negated_conjecture,
    $false = $false,
    inference(negate_conjecture,[status(cth)],[6]) ).

thf(8,negated_conjecture,
    ( ( ( c_Public_OshrK @ v_A )
      = v_K )
    | ( c_in @ v_A @ c_Event_Obad @ tc_Message_Oagent ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_6) ).

thf(9,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_evso ) ) @ tc_Message_Omsg ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).

thf(10,negated_conjecture,
    ~ ( c_in @ v_A @ c_Event_Obad @ tc_Message_Oagent ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).

thf(11,negated_conjecture,
    c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ 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_evso @ tc_Event_Oevent ) @ tc_Event_Oevent,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).

thf(12,plain,
    $false = $false,
    inference(unfold_def,[status(thm)],[7]) ).

thf(13,plain,
    ( ( ! [V_K: $i,V_X: $i,V_H: $i] :
          ( ~ ( c_in @ ( c_Message_Omsg_OCrypt @ V_K @ V_X ) @ ( c_Message_Oparts @ V_H ) @ tc_Message_Omsg )
          | ( c_in @ V_X @ ( c_Message_Oparts @ V_H ) @ tc_Message_Omsg ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1]) ).

thf(14,plain,
    ( ( ! [V_X: $i,V_H: $i] :
          ( ~ ( c_in @ V_X @ ( c_Message_Oanalz @ V_H ) @ tc_Message_Omsg )
          | ( c_in @ V_X @ ( c_Message_Oparts @ V_H ) @ tc_Message_Omsg ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[2]) ).

thf(15,plain,
    ( ( ! [V_X: $i,V_Y: $i,V_H: $i] :
          ( ~ ( c_in @ ( c_Message_Omsg_OMPair @ V_X @ V_Y ) @ ( c_Message_Oparts @ V_H ) @ tc_Message_Omsg )
          | ( c_in @ V_Y @ ( c_Message_Oparts @ V_H ) @ tc_Message_Omsg ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[3]) ).

thf(16,plain,
    ( ( ! [V_X: $i,V_Y: $i,V_H: $i] :
          ( ~ ( c_in @ ( c_Message_Omsg_OMPair @ V_X @ V_Y ) @ ( c_Message_Oanalz @ V_H ) @ tc_Message_Omsg )
          | ( c_in @ V_Y @ ( c_Message_Oanalz @ V_H ) @ tc_Message_Omsg ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[4]) ).

thf(17,plain,
    ( ( ! [V_A: $i,V_B: $i,V_X: $i,V_evs: $i] :
          ( ~ ( c_in @ ( c_Event_Oevent_OSays @ V_A @ V_B @ V_X ) @ ( c_List_Oset @ V_evs @ tc_Event_Oevent ) @ tc_Event_Oevent )
          | ( c_in @ V_X @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) ) @ tc_Message_Omsg ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[5]) ).

thf(18,plain,
    ( ( ( ( c_Public_OshrK @ v_A )
        = v_K )
      | ( c_in @ v_A @ c_Event_Obad @ tc_Message_Oagent ) )
    = $true ),
    inference(unfold_def,[status(thm)],[8]) ).

thf(19,plain,
    ( ( ( 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_evso ) ) @ tc_Message_Omsg ) )
    = $true ),
    inference(unfold_def,[status(thm)],[9]) ).

thf(20,plain,
    ( ( ~ ( c_in @ v_A @ c_Event_Obad @ tc_Message_Oagent ) )
    = $true ),
    inference(unfold_def,[status(thm)],[10]) ).

thf(21,plain,
    ( ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ 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_evso @ tc_Event_Oevent ) @ tc_Event_Oevent )
    = $true ),
    inference(unfold_def,[status(thm)],[11]) ).

thf(22,plain,
    ( ( ~ $false )
    = $true ),
    inference(polarity_switch,[status(thm)],[12]) ).

thf(23,plain,
    ( ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ 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_evso @ tc_Event_Oevent ) @ tc_Event_Oevent )
    = $true ),
    inference(copy,[status(thm)],[21]) ).

thf(24,plain,
    ( ( ~ ( c_in @ v_A @ c_Event_Obad @ tc_Message_Oagent ) )
    = $true ),
    inference(copy,[status(thm)],[20]) ).

thf(25,plain,
    ( ( ( 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_evso ) ) @ tc_Message_Omsg ) )
    = $true ),
    inference(copy,[status(thm)],[19]) ).

thf(26,plain,
    ( ( ( ( c_Public_OshrK @ v_A )
        = v_K )
      | ( c_in @ v_A @ c_Event_Obad @ tc_Message_Oagent ) )
    = $true ),
    inference(copy,[status(thm)],[18]) ).

thf(27,plain,
    ( ( ! [V_A: $i,V_B: $i,V_X: $i,V_evs: $i] :
          ( ~ ( c_in @ ( c_Event_Oevent_OSays @ V_A @ V_B @ V_X ) @ ( c_List_Oset @ V_evs @ tc_Event_Oevent ) @ tc_Event_Oevent )
          | ( c_in @ V_X @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) ) @ tc_Message_Omsg ) ) )
    = $true ),
    inference(copy,[status(thm)],[17]) ).

thf(28,plain,
    ( ( ! [V_X: $i,V_Y: $i,V_H: $i] :
          ( ~ ( c_in @ ( c_Message_Omsg_OMPair @ V_X @ V_Y ) @ ( c_Message_Oanalz @ V_H ) @ tc_Message_Omsg )
          | ( c_in @ V_Y @ ( c_Message_Oanalz @ V_H ) @ tc_Message_Omsg ) ) )
    = $true ),
    inference(copy,[status(thm)],[16]) ).

thf(29,plain,
    ( ( ! [V_X: $i,V_Y: $i,V_H: $i] :
          ( ~ ( c_in @ ( c_Message_Omsg_OMPair @ V_X @ V_Y ) @ ( c_Message_Oparts @ V_H ) @ tc_Message_Omsg )
          | ( c_in @ V_Y @ ( c_Message_Oparts @ V_H ) @ tc_Message_Omsg ) ) )
    = $true ),
    inference(copy,[status(thm)],[15]) ).

thf(30,plain,
    ( ( ! [V_X: $i,V_H: $i] :
          ( ~ ( c_in @ V_X @ ( c_Message_Oanalz @ V_H ) @ tc_Message_Omsg )
          | ( c_in @ V_X @ ( c_Message_Oparts @ V_H ) @ tc_Message_Omsg ) ) )
    = $true ),
    inference(copy,[status(thm)],[14]) ).

thf(31,plain,
    ( ( ! [V_K: $i,V_X: $i,V_H: $i] :
          ( ~ ( c_in @ ( c_Message_Omsg_OCrypt @ V_K @ V_X ) @ ( c_Message_Oparts @ V_H ) @ tc_Message_Omsg )
          | ( c_in @ V_X @ ( c_Message_Oparts @ V_H ) @ tc_Message_Omsg ) ) )
    = $true ),
    inference(copy,[status(thm)],[13]) ).

thf(32,plain,
    ( ( ~ $false )
    = $true ),
    inference(copy,[status(thm)],[22]) ).

thf(33,plain,
    ( ( c_in @ v_A @ c_Event_Obad @ tc_Message_Oagent )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[24]) ).

thf(34,plain,
    ( ( ( c_in @ v_A @ c_Event_Obad @ tc_Message_Oagent )
      = $true )
    | ( ( ~ ( c_in @ ( c_Message_Omsg_OKey @ ( c_Public_OshrK @ v_A ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evso ) ) @ tc_Message_Omsg ) )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[25]) ).

thf(35,plain,
    ( ( ( ( c_Public_OshrK @ v_A )
        = v_K )
      = $true )
    | ( ( c_in @ v_A @ c_Event_Obad @ tc_Message_Oagent )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[26]) ).

thf(36,plain,
    ! [SV1: $i] :
      ( ( ! [SY15: $i,SY16: $i,SY17: $i] :
            ( ~ ( c_in @ ( c_Event_Oevent_OSays @ SV1 @ SY15 @ SY16 ) @ ( c_List_Oset @ SY17 @ tc_Event_Oevent ) @ tc_Event_Oevent )
            | ( c_in @ SY16 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SY17 ) ) @ tc_Message_Omsg ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[27]) ).

thf(37,plain,
    ! [SV2: $i] :
      ( ( ! [SY18: $i,SY19: $i] :
            ( ~ ( c_in @ ( c_Message_Omsg_OMPair @ SV2 @ SY18 ) @ ( c_Message_Oanalz @ SY19 ) @ tc_Message_Omsg )
            | ( c_in @ SY18 @ ( c_Message_Oanalz @ SY19 ) @ tc_Message_Omsg ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[28]) ).

thf(38,plain,
    ! [SV3: $i] :
      ( ( ! [SY20: $i,SY21: $i] :
            ( ~ ( c_in @ ( c_Message_Omsg_OMPair @ SV3 @ SY20 ) @ ( c_Message_Oparts @ SY21 ) @ tc_Message_Omsg )
            | ( c_in @ SY20 @ ( c_Message_Oparts @ SY21 ) @ tc_Message_Omsg ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[29]) ).

thf(39,plain,
    ! [SV4: $i] :
      ( ( ! [SY22: $i] :
            ( ~ ( c_in @ SV4 @ ( c_Message_Oanalz @ SY22 ) @ tc_Message_Omsg )
            | ( c_in @ SV4 @ ( c_Message_Oparts @ SY22 ) @ tc_Message_Omsg ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[30]) ).

thf(40,plain,
    ! [SV5: $i] :
      ( ( ! [SY23: $i,SY24: $i] :
            ( ~ ( c_in @ ( c_Message_Omsg_OCrypt @ SV5 @ SY23 ) @ ( c_Message_Oparts @ SY24 ) @ tc_Message_Omsg )
            | ( c_in @ SY23 @ ( c_Message_Oparts @ SY24 ) @ tc_Message_Omsg ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[31]) ).

thf(41,plain,
    $false = $false,
    inference(extcnf_not_pos,[status(thm)],[32]) ).

thf(42,plain,
    ( ( ( c_in @ ( c_Message_Omsg_OKey @ ( c_Public_OshrK @ v_A ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evso ) ) @ tc_Message_Omsg )
      = $false )
    | ( ( c_in @ v_A @ c_Event_Obad @ tc_Message_Oagent )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[34]) ).

thf(43,plain,
    ! [SV6: $i,SV1: $i] :
      ( ( ! [SY25: $i,SY26: $i] :
            ( ~ ( c_in @ ( c_Event_Oevent_OSays @ SV1 @ SV6 @ SY25 ) @ ( c_List_Oset @ SY26 @ tc_Event_Oevent ) @ tc_Event_Oevent )
            | ( c_in @ SY25 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SY26 ) ) @ tc_Message_Omsg ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[36]) ).

thf(44,plain,
    ! [SV7: $i,SV2: $i] :
      ( ( ! [SY27: $i] :
            ( ~ ( c_in @ ( c_Message_Omsg_OMPair @ SV2 @ SV7 ) @ ( c_Message_Oanalz @ SY27 ) @ tc_Message_Omsg )
            | ( c_in @ SV7 @ ( c_Message_Oanalz @ SY27 ) @ tc_Message_Omsg ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[37]) ).

thf(45,plain,
    ! [SV8: $i,SV3: $i] :
      ( ( ! [SY28: $i] :
            ( ~ ( c_in @ ( c_Message_Omsg_OMPair @ SV3 @ SV8 ) @ ( c_Message_Oparts @ SY28 ) @ tc_Message_Omsg )
            | ( c_in @ SV8 @ ( c_Message_Oparts @ SY28 ) @ tc_Message_Omsg ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[38]) ).

thf(46,plain,
    ! [SV9: $i,SV4: $i] :
      ( ( ~ ( c_in @ SV4 @ ( c_Message_Oanalz @ SV9 ) @ tc_Message_Omsg )
        | ( c_in @ SV4 @ ( c_Message_Oparts @ SV9 ) @ tc_Message_Omsg ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[39]) ).

thf(47,plain,
    ! [SV10: $i,SV5: $i] :
      ( ( ! [SY29: $i] :
            ( ~ ( c_in @ ( c_Message_Omsg_OCrypt @ SV5 @ SV10 ) @ ( c_Message_Oparts @ SY29 ) @ tc_Message_Omsg )
            | ( c_in @ SV10 @ ( c_Message_Oparts @ SY29 ) @ tc_Message_Omsg ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[40]) ).

thf(48,plain,
    ! [SV11: $i,SV6: $i,SV1: $i] :
      ( ( ! [SY30: $i] :
            ( ~ ( c_in @ ( c_Event_Oevent_OSays @ SV1 @ SV6 @ SV11 ) @ ( c_List_Oset @ SY30 @ tc_Event_Oevent ) @ tc_Event_Oevent )
            | ( c_in @ SV11 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SY30 ) ) @ tc_Message_Omsg ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[43]) ).

thf(49,plain,
    ! [SV12: $i,SV7: $i,SV2: $i] :
      ( ( ~ ( c_in @ ( c_Message_Omsg_OMPair @ SV2 @ SV7 ) @ ( c_Message_Oanalz @ SV12 ) @ tc_Message_Omsg )
        | ( c_in @ SV7 @ ( c_Message_Oanalz @ SV12 ) @ tc_Message_Omsg ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[44]) ).

thf(50,plain,
    ! [SV13: $i,SV8: $i,SV3: $i] :
      ( ( ~ ( c_in @ ( c_Message_Omsg_OMPair @ SV3 @ SV8 ) @ ( c_Message_Oparts @ SV13 ) @ tc_Message_Omsg )
        | ( c_in @ SV8 @ ( c_Message_Oparts @ SV13 ) @ tc_Message_Omsg ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[45]) ).

thf(51,plain,
    ! [SV9: $i,SV4: $i] :
      ( ( ( ~ ( c_in @ SV4 @ ( c_Message_Oanalz @ SV9 ) @ tc_Message_Omsg ) )
        = $true )
      | ( ( c_in @ SV4 @ ( c_Message_Oparts @ SV9 ) @ tc_Message_Omsg )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[46]) ).

thf(52,plain,
    ! [SV14: $i,SV10: $i,SV5: $i] :
      ( ( ~ ( c_in @ ( c_Message_Omsg_OCrypt @ SV5 @ SV10 ) @ ( c_Message_Oparts @ SV14 ) @ tc_Message_Omsg )
        | ( c_in @ SV10 @ ( c_Message_Oparts @ SV14 ) @ tc_Message_Omsg ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[47]) ).

thf(53,plain,
    ! [SV15: $i,SV11: $i,SV6: $i,SV1: $i] :
      ( ( ~ ( c_in @ ( c_Event_Oevent_OSays @ SV1 @ SV6 @ SV11 ) @ ( c_List_Oset @ SV15 @ tc_Event_Oevent ) @ tc_Event_Oevent )
        | ( c_in @ SV11 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV15 ) ) @ tc_Message_Omsg ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[48]) ).

thf(54,plain,
    ! [SV12: $i,SV7: $i,SV2: $i] :
      ( ( ( ~ ( c_in @ ( c_Message_Omsg_OMPair @ SV2 @ SV7 ) @ ( c_Message_Oanalz @ SV12 ) @ tc_Message_Omsg ) )
        = $true )
      | ( ( c_in @ SV7 @ ( c_Message_Oanalz @ SV12 ) @ tc_Message_Omsg )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[49]) ).

thf(55,plain,
    ! [SV13: $i,SV8: $i,SV3: $i] :
      ( ( ( ~ ( c_in @ ( c_Message_Omsg_OMPair @ SV3 @ SV8 ) @ ( c_Message_Oparts @ SV13 ) @ tc_Message_Omsg ) )
        = $true )
      | ( ( c_in @ SV8 @ ( c_Message_Oparts @ SV13 ) @ tc_Message_Omsg )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[50]) ).

thf(56,plain,
    ! [SV9: $i,SV4: $i] :
      ( ( ( c_in @ SV4 @ ( c_Message_Oanalz @ SV9 ) @ tc_Message_Omsg )
        = $false )
      | ( ( c_in @ SV4 @ ( c_Message_Oparts @ SV9 ) @ tc_Message_Omsg )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[51]) ).

thf(57,plain,
    ! [SV14: $i,SV10: $i,SV5: $i] :
      ( ( ( ~ ( c_in @ ( c_Message_Omsg_OCrypt @ SV5 @ SV10 ) @ ( c_Message_Oparts @ SV14 ) @ tc_Message_Omsg ) )
        = $true )
      | ( ( c_in @ SV10 @ ( c_Message_Oparts @ SV14 ) @ tc_Message_Omsg )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[52]) ).

thf(58,plain,
    ! [SV15: $i,SV11: $i,SV6: $i,SV1: $i] :
      ( ( ( ~ ( c_in @ ( c_Event_Oevent_OSays @ SV1 @ SV6 @ SV11 ) @ ( c_List_Oset @ SV15 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
        = $true )
      | ( ( c_in @ SV11 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV15 ) ) @ tc_Message_Omsg )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[53]) ).

thf(59,plain,
    ! [SV12: $i,SV7: $i,SV2: $i] :
      ( ( ( c_in @ ( c_Message_Omsg_OMPair @ SV2 @ SV7 ) @ ( c_Message_Oanalz @ SV12 ) @ tc_Message_Omsg )
        = $false )
      | ( ( c_in @ SV7 @ ( c_Message_Oanalz @ SV12 ) @ tc_Message_Omsg )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[54]) ).

thf(60,plain,
    ! [SV13: $i,SV8: $i,SV3: $i] :
      ( ( ( c_in @ ( c_Message_Omsg_OMPair @ SV3 @ SV8 ) @ ( c_Message_Oparts @ SV13 ) @ tc_Message_Omsg )
        = $false )
      | ( ( c_in @ SV8 @ ( c_Message_Oparts @ SV13 ) @ tc_Message_Omsg )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[55]) ).

thf(61,plain,
    ! [SV14: $i,SV10: $i,SV5: $i] :
      ( ( ( c_in @ ( c_Message_Omsg_OCrypt @ SV5 @ SV10 ) @ ( c_Message_Oparts @ SV14 ) @ tc_Message_Omsg )
        = $false )
      | ( ( c_in @ SV10 @ ( c_Message_Oparts @ SV14 ) @ tc_Message_Omsg )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[57]) ).

thf(62,plain,
    ! [SV15: $i,SV11: $i,SV6: $i,SV1: $i] :
      ( ( ( c_in @ ( c_Event_Oevent_OSays @ SV1 @ SV6 @ SV11 ) @ ( c_List_Oset @ SV15 @ tc_Event_Oevent ) @ tc_Event_Oevent )
        = $false )
      | ( ( c_in @ SV11 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV15 ) ) @ tc_Message_Omsg )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[58]) ).

thf(63,plain,
    $false = $true,
    inference(fo_atp_e,[status(thm)],[23,62,61,60,59,56,42,41,35,33]) ).

thf(64,plain,
    $false,
    inference(solved_all_splits,[solved_all_splits(join,[])],[63]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SWV319-2 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.13  % Command  : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.13/0.34  % Computer : n011.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Tue Jun 14 19:55:50 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.13/0.35  
% 0.13/0.35   No.of.Axioms: 9
% 0.13/0.35  
% 0.13/0.35   Length.of.Defs: 0
% 0.13/0.35  
% 0.13/0.35   Contains.Choice.Funs: false
% 0.13/0.36  (rf:0,axioms:9,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:600,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:11,loop_count:0,foatp_calls:0,translation:fof_full)..
% 0.19/0.41  
% 0.19/0.41  ********************************
% 0.19/0.41  *   All subproblems solved!    *
% 0.19/0.41  ********************************
% 0.19/0.41  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:9,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:74,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:63,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.19/0.41  
% 0.19/0.41  %**** Beginning of derivation protocol ****
% 0.19/0.41  % SZS output start CNFRefutation
% See solution above
% 0.19/0.41  
% 0.19/0.41  %**** End of derivation protocol ****
% 0.19/0.41  %**** no. of clauses in derivation: 64 ****
% 0.19/0.41  %**** clause counter: 63 ****
% 0.19/0.41  
% 0.19/0.41  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:9,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:74,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:63,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------