%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SWV247-2 : 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_uns --cores 0 -t %d %s

% Computer : n004.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 18:44:38 EDT 2022

% Result   : Unsatisfiable 0.19s 0.51s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   18
% Syntax   : Number of formulae    :   52 (   8 unt;   0 def)
%            Number of atoms       :  108 (   0 equ)
%            Maximal formula atoms :    3 (   2 avg)
%            Number of connectives :  100 (  44   ~;  48   |;   0   &)
%                                         (   8 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   10 (   9 usr;   9 prp; 0-3 aty)
%            Number of functors    :   11 (  11 usr;   5 con; 0-3 aty)
%            Number of variables   :   26 (  26   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f81,plain,
    $false,
    inference(avatar_sat_refutation,[],[f28,f37,f50,f54,f64,f69,f71,f78,f80]) ).

fof(f80,plain,
    ~ spl0_6,
    inference(avatar_contradiction_clause,[],[f79]) ).

fof(f79,plain,
    ( $false
    | ~ spl0_6 ),
    inference(resolution,[],[f49,f12]) ).

fof(f12,plain,
    ~ c_in(v_X,c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg),
    inference(resolution,[],[f6,f10]) ).

fof(f10,axiom,
    ~ c_in(v_X,c_union(c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),c_Message_Osynth(v_G),tc_Message_Omsg),tc_Message_Omsg),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_4) ).

fof(f6,axiom,
    ! [X3,X6,X4,X5] :
      ( c_in(X3,c_union(X6,X4,X5),X5)
      | ~ c_in(X3,X6,X5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OUnCI_1) ).

fof(f49,plain,
    ( c_in(v_X,c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg)
    | ~ spl0_6 ),
    inference(avatar_component_clause,[],[f47]) ).

fof(f47,plain,
    ( spl0_6
  <=> c_in(v_X,c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f78,plain,
    ( spl0_6
    | ~ spl0_2
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f76,f34,f25,f47]) ).

fof(f25,plain,
    ( spl0_2
  <=> c_in(c_Message_Omsg_OCrypt(v_K,v_X),c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f34,plain,
    ( spl0_4
  <=> c_in(c_Message_Omsg_OKey(c_Message_OinvKey(v_K)),c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f76,plain,
    ( c_in(v_X,c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg)
    | ~ spl0_2
    | ~ spl0_4 ),
    inference(resolution,[],[f75,f27]) ).

fof(f27,plain,
    ( c_in(c_Message_Omsg_OCrypt(v_K,v_X),c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg)
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f25]) ).

fof(f75,plain,
    ( ! [X0] :
        ( ~ c_in(c_Message_Omsg_OCrypt(v_K,X0),c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg)
        | c_in(X0,c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg) )
    | ~ spl0_4 ),
    inference(resolution,[],[f36,f2]) ).

fof(f2,axiom,
    ! [X2,X0,X1] :
      ( ~ c_in(c_Message_Omsg_OKey(c_Message_OinvKey(X0)),c_Message_Oanalz(X2),tc_Message_Omsg)
      | c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg)
      | ~ c_in(c_Message_Omsg_OCrypt(X0,X1),c_Message_Oanalz(X2),tc_Message_Omsg) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Oanalz_ODecrypt__dest_0) ).

fof(f36,plain,
    ( c_in(c_Message_Omsg_OKey(c_Message_OinvKey(v_K)),c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg)
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f34]) ).

fof(f71,plain,
    ~ spl0_8,
    inference(avatar_contradiction_clause,[],[f70]) ).

fof(f70,plain,
    ( $false
    | ~ spl0_8 ),
    inference(resolution,[],[f63,f11]) ).

fof(f11,plain,
    ~ c_in(v_X,c_Message_Osynth(v_G),tc_Message_Omsg),
    inference(resolution,[],[f5,f10]) ).

fof(f5,axiom,
    ! [X3,X6,X4,X5] :
      ( c_in(X3,c_union(X6,X4,X5),X5)
      | ~ c_in(X3,X4,X5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OUnCI_0) ).

fof(f63,plain,
    ( c_in(v_X,c_Message_Osynth(v_G),tc_Message_Omsg)
    | ~ spl0_8 ),
    inference(avatar_component_clause,[],[f61]) ).

fof(f61,plain,
    ( spl0_8
  <=> c_in(v_X,c_Message_Osynth(v_G),tc_Message_Omsg) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f69,plain,
    ( ~ spl0_7
    | spl0_2 ),
    inference(avatar_split_clause,[],[f67,f25,f57]) ).

fof(f57,plain,
    ( spl0_7
  <=> c_in(c_Message_Omsg_OCrypt(v_K,v_X),v_G,tc_Message_Omsg) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f67,plain,
    ( ~ c_in(c_Message_Omsg_OCrypt(v_K,v_X),v_G,tc_Message_Omsg)
    | spl0_2 ),
    inference(resolution,[],[f66,f6]) ).

fof(f66,plain,
    ( ~ c_in(c_Message_Omsg_OCrypt(v_K,v_X),c_union(v_G,v_H,tc_Message_Omsg),tc_Message_Omsg)
    | spl0_2 ),
    inference(resolution,[],[f26,f4]) ).

fof(f4,axiom,
    ! [X2,X1] :
      ( c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg)
      | ~ c_in(X1,X2,tc_Message_Omsg) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Oanalz_OInj_0) ).

fof(f26,plain,
    ( ~ c_in(c_Message_Omsg_OCrypt(v_K,v_X),c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg)
    | spl0_2 ),
    inference(avatar_component_clause,[],[f25]) ).

fof(f64,plain,
    ( spl0_7
    | spl0_8
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f55,f21,f61,f57]) ).

fof(f21,plain,
    ( spl0_1
  <=> c_in(c_Message_Omsg_OCrypt(v_K,v_X),c_Message_Osynth(v_G),tc_Message_Omsg) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f55,plain,
    ( c_in(v_X,c_Message_Osynth(v_G),tc_Message_Omsg)
    | c_in(c_Message_Omsg_OCrypt(v_K,v_X),v_G,tc_Message_Omsg)
    | ~ spl0_1 ),
    inference(resolution,[],[f23,f1]) ).

fof(f1,axiom,
    ! [X2,X0,X1] :
      ( ~ c_in(c_Message_Omsg_OCrypt(X0,X1),c_Message_Osynth(X2),tc_Message_Omsg)
      | c_in(X1,c_Message_Osynth(X2),tc_Message_Omsg)
      | c_in(c_Message_Omsg_OCrypt(X0,X1),X2,tc_Message_Omsg) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_OCrypt__synth_1) ).

fof(f23,plain,
    ( c_in(c_Message_Omsg_OCrypt(v_K,v_X),c_Message_Osynth(v_G),tc_Message_Omsg)
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f21]) ).

fof(f54,plain,
    ( ~ spl0_3
    | spl0_5 ),
    inference(avatar_contradiction_clause,[],[f53]) ).

fof(f53,plain,
    ( $false
    | ~ spl0_3
    | spl0_5 ),
    inference(resolution,[],[f51,f38]) ).

fof(f38,plain,
    ( c_in(c_Message_Omsg_OKey(c_Message_OinvKey(v_K)),v_G,tc_Message_Omsg)
    | ~ spl0_3 ),
    inference(resolution,[],[f32,f3]) ).

fof(f3,axiom,
    ! [X2,X0] :
      ( ~ c_in(c_Message_Omsg_OKey(X0),c_Message_Osynth(X2),tc_Message_Omsg)
      | c_in(c_Message_Omsg_OKey(X0),X2,tc_Message_Omsg) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_OKey__synth_0) ).

fof(f32,plain,
    ( c_in(c_Message_Omsg_OKey(c_Message_OinvKey(v_K)),c_Message_Osynth(v_G),tc_Message_Omsg)
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f30]) ).

fof(f30,plain,
    ( spl0_3
  <=> c_in(c_Message_Omsg_OKey(c_Message_OinvKey(v_K)),c_Message_Osynth(v_G),tc_Message_Omsg) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f51,plain,
    ( ~ c_in(c_Message_Omsg_OKey(c_Message_OinvKey(v_K)),v_G,tc_Message_Omsg)
    | spl0_5 ),
    inference(resolution,[],[f45,f6]) ).

fof(f45,plain,
    ( ~ c_in(c_Message_Omsg_OKey(c_Message_OinvKey(v_K)),c_union(v_G,v_H,tc_Message_Omsg),tc_Message_Omsg)
    | spl0_5 ),
    inference(avatar_component_clause,[],[f43]) ).

fof(f43,plain,
    ( spl0_5
  <=> c_in(c_Message_Omsg_OKey(c_Message_OinvKey(v_K)),c_union(v_G,v_H,tc_Message_Omsg),tc_Message_Omsg) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f50,plain,
    ( ~ spl0_5
    | spl0_6
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f40,f25,f47,f43]) ).

fof(f40,plain,
    ( c_in(v_X,c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OKey(c_Message_OinvKey(v_K)),c_union(v_G,v_H,tc_Message_Omsg),tc_Message_Omsg)
    | ~ spl0_2 ),
    inference(resolution,[],[f39,f27]) ).

fof(f39,plain,
    ! [X2,X0,X1] :
      ( ~ c_in(c_Message_Omsg_OCrypt(X2,X0),c_Message_Oanalz(X1),tc_Message_Omsg)
      | ~ c_in(c_Message_Omsg_OKey(c_Message_OinvKey(X2)),X1,tc_Message_Omsg)
      | c_in(X0,c_Message_Oanalz(X1),tc_Message_Omsg) ),
    inference(resolution,[],[f2,f4]) ).

fof(f37,plain,
    ( spl0_3
    | spl0_4 ),
    inference(avatar_split_clause,[],[f17,f34,f30]) ).

fof(f17,plain,
    ( c_in(c_Message_Omsg_OKey(c_Message_OinvKey(v_K)),c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg)
    | c_in(c_Message_Omsg_OKey(c_Message_OinvKey(v_K)),c_Message_Osynth(v_G),tc_Message_Omsg) ),
    inference(resolution,[],[f7,f9]) ).

fof(f9,axiom,
    c_in(c_Message_Omsg_OKey(c_Message_OinvKey(v_K)),c_union(c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),c_Message_Osynth(v_G),tc_Message_Omsg),tc_Message_Omsg),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).

fof(f7,axiom,
    ! [X3,X6,X4,X5] :
      ( ~ c_in(X3,c_union(X6,X4,X5),X5)
      | c_in(X3,X6,X5)
      | c_in(X3,X4,X5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OUnE_0) ).

fof(f28,plain,
    ( spl0_1
    | spl0_2 ),
    inference(avatar_split_clause,[],[f16,f25,f21]) ).

fof(f16,plain,
    ( c_in(c_Message_Omsg_OCrypt(v_K,v_X),c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg)
    | c_in(c_Message_Omsg_OCrypt(v_K,v_X),c_Message_Osynth(v_G),tc_Message_Omsg) ),
    inference(resolution,[],[f7,f8]) ).

fof(f8,axiom,
    c_in(c_Message_Omsg_OCrypt(v_K,v_X),c_union(c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),c_Message_Osynth(v_G),tc_Message_Omsg),tc_Message_Omsg),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem    : SWV247-2 : TPTP v8.1.0. Released v3.2.0.
% 0.04/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.34  % Computer : n004.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit   : 300
% 0.12/0.34  % WCLimit    : 300
% 0.12/0.34  % DateTime   : Tue Aug 30 19:05:19 EDT 2022
% 0.12/0.34  % CPUTime    : 
% 0.19/0.48  % (7416)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.19/0.50  % (7440)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.50  % (7416)First to succeed.
% 0.19/0.50  % (7419)lrs+1011_1:1_atotf=0.0306256:ep=RST:mep=off:nm=0:sos=all:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.50  % (7424)lrs+30_1:12_av=off:bs=unit_only:fsd=on:gs=on:lwlo=on:newcnf=on:slsq=on:slsqr=1,2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.50  % (7424)Instruction limit reached!
% 0.19/0.50  % (7424)------------------------------
% 0.19/0.50  % (7424)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50  % (7424)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50  % (7424)Termination reason: Unknown
% 0.19/0.50  % (7424)Termination phase: Saturation
% 0.19/0.50  
% 0.19/0.50  % (7424)Memory used [KB]: 5756
% 0.19/0.50  % (7424)Time elapsed: 0.108 s
% 0.19/0.50  % (7424)Instructions burned: 3 (million)
% 0.19/0.50  % (7424)------------------------------
% 0.19/0.50  % (7424)------------------------------
% 0.19/0.51  % (7419)Instruction limit reached!
% 0.19/0.51  % (7419)------------------------------
% 0.19/0.51  % (7419)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51  % (7416)Refutation found. Thanks to Tanya!
% 0.19/0.51  % SZS status Unsatisfiable for theBenchmark
% 0.19/0.51  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.51  % (7416)------------------------------
% 0.19/0.51  % (7416)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51  % (7416)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51  % (7416)Termination reason: Refutation
% 0.19/0.51  
% 0.19/0.51  % (7416)Memory used [KB]: 5884
% 0.19/0.51  % (7416)Time elapsed: 0.106 s
% 0.19/0.51  % (7416)Instructions burned: 3 (million)
% 0.19/0.51  % (7416)------------------------------
% 0.19/0.51  % (7416)------------------------------
% 0.19/0.51  % (7410)Success in time 0.16 s
%------------------------------------------------------------------------------