TSTP Solution File: SWV272-2 by SnakeForV-SAT---1.0

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%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SWV272-2 : 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 : n014.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 18:56:06 EDT 2022

% Result   : Unsatisfiable 1.43s 0.55s
% Output   : Refutation 1.43s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   16
% Syntax   : Number of formulae    :   45 (  11 unt;   0 def)
%            Number of atoms       :   87 (   4 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   72 (  30   ~;  38   |;   0   &)
%                                         (   4 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    7 (   5 usr;   5 prp; 0-3 aty)
%            Number of functors    :   12 (  12 usr;   8 con; 0-3 aty)
%            Number of variables   :   27 (  27   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f72,plain,
    $false,
    inference(avatar_sat_refutation,[],[f55,f59,f62,f68,f71]) ).

fof(f71,plain,
    ~ spl4_1,
    inference(avatar_contradiction_clause,[],[f70]) ).

fof(f70,plain,
    ( $false
    | ~ spl4_1 ),
    inference(subsumption_resolution,[],[f69,f12]) ).

fof(f12,plain,
    ~ c_in(v_X,sF2,tc_Message_Omsg),
    inference(definition_folding,[],[f2,f11,f10,f9]) ).

fof(f9,plain,
    c_Message_Oparts(v_H) = sF0,
    introduced(function_definition,[]) ).

fof(f10,plain,
    c_Message_Osynth(v_H) = sF1,
    introduced(function_definition,[]) ).

fof(f11,plain,
    c_union(sF0,sF1,tc_Message_Omsg) = sF2,
    introduced(function_definition,[]) ).

fof(f2,axiom,
    ~ c_in(v_X,c_union(c_Message_Oparts(v_H),c_Message_Osynth(v_H),tc_Message_Omsg),tc_Message_Omsg),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).

fof(f69,plain,
    ( c_in(v_X,sF2,tc_Message_Omsg)
    | ~ spl4_1 ),
    inference(resolution,[],[f29,f16]) ).

fof(f16,plain,
    ! [X0] :
      ( ~ c_in(X0,sF0,tc_Message_Omsg)
      | c_in(X0,sF2,tc_Message_Omsg) ),
    inference(superposition,[],[f7,f11]) ).

fof(f7,axiom,
    ! [X3,X6,X4,X5] :
      ( c_in(X3,c_union(X4,X5,X6),X6)
      | ~ c_in(X3,X4,X6) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OUn__iff_1) ).

fof(f29,plain,
    ( c_in(v_X,sF0,tc_Message_Omsg)
    | ~ spl4_1 ),
    inference(avatar_component_clause,[],[f27]) ).

fof(f27,plain,
    ( spl4_1
  <=> c_in(v_X,sF0,tc_Message_Omsg) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_1])]) ).

fof(f68,plain,
    ( spl4_1
    | ~ spl4_2 ),
    inference(avatar_split_clause,[],[f37,f31,f27]) ).

fof(f31,plain,
    ( spl4_2
  <=> c_in(sF3,sF0,tc_Message_Omsg) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_2])]) ).

fof(f37,plain,
    ( ~ c_in(sF3,sF0,tc_Message_Omsg)
    | c_in(v_X,sF0,tc_Message_Omsg) ),
    inference(superposition,[],[f20,f13]) ).

fof(f13,plain,
    c_Message_Omsg_OCrypt(v_K,v_X) = sF3,
    introduced(function_definition,[]) ).

fof(f20,plain,
    ! [X0,X1] :
      ( ~ c_in(c_Message_Omsg_OCrypt(X0,X1),sF0,tc_Message_Omsg)
      | c_in(X1,sF0,tc_Message_Omsg) ),
    inference(superposition,[],[f4,f9]) ).

fof(f4,axiom,
    ! [X2,X0,X1] :
      ( ~ c_in(c_Message_Omsg_OCrypt(X0,X1),c_Message_Oparts(X2),tc_Message_Omsg)
      | c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Oparts_OBody_0) ).

fof(f62,plain,
    ( spl4_2
    | ~ spl4_4 ),
    inference(avatar_contradiction_clause,[],[f61]) ).

fof(f61,plain,
    ( $false
    | spl4_2
    | ~ spl4_4 ),
    inference(subsumption_resolution,[],[f60,f33]) ).

fof(f33,plain,
    ( ~ c_in(sF3,sF0,tc_Message_Omsg)
    | spl4_2 ),
    inference(avatar_component_clause,[],[f31]) ).

fof(f60,plain,
    ( c_in(sF3,sF0,tc_Message_Omsg)
    | ~ spl4_4 ),
    inference(resolution,[],[f54,f15]) ).

fof(f15,plain,
    ! [X0] :
      ( ~ c_in(X0,v_H,tc_Message_Omsg)
      | c_in(X0,sF0,tc_Message_Omsg) ),
    inference(superposition,[],[f5,f9]) ).

fof(f5,axiom,
    ! [X2,X1] :
      ( c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg)
      | ~ c_in(X1,X2,tc_Message_Omsg) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Oparts_OInj_0) ).

fof(f54,plain,
    ( c_in(sF3,v_H,tc_Message_Omsg)
    | ~ spl4_4 ),
    inference(avatar_component_clause,[],[f52]) ).

fof(f52,plain,
    ( spl4_4
  <=> c_in(sF3,v_H,tc_Message_Omsg) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_4])]) ).

fof(f59,plain,
    ~ spl4_3,
    inference(avatar_contradiction_clause,[],[f58]) ).

fof(f58,plain,
    ( $false
    | ~ spl4_3 ),
    inference(subsumption_resolution,[],[f57,f12]) ).

fof(f57,plain,
    ( c_in(v_X,sF2,tc_Message_Omsg)
    | ~ spl4_3 ),
    inference(resolution,[],[f50,f17]) ).

fof(f17,plain,
    ! [X0] :
      ( ~ c_in(X0,sF1,tc_Message_Omsg)
      | c_in(X0,sF2,tc_Message_Omsg) ),
    inference(superposition,[],[f8,f11]) ).

fof(f8,axiom,
    ! [X3,X6,X4,X5] :
      ( c_in(X3,c_union(X4,X5,X6),X6)
      | ~ c_in(X3,X5,X6) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OUn__iff_2) ).

fof(f50,plain,
    ( c_in(v_X,sF1,tc_Message_Omsg)
    | ~ spl4_3 ),
    inference(avatar_component_clause,[],[f48]) ).

fof(f48,plain,
    ( spl4_3
  <=> c_in(v_X,sF1,tc_Message_Omsg) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_3])]) ).

fof(f55,plain,
    ( spl4_3
    | spl4_4
    | spl4_2 ),
    inference(avatar_split_clause,[],[f46,f31,f52,f48]) ).

fof(f46,plain,
    ( c_in(sF3,v_H,tc_Message_Omsg)
    | c_in(v_X,sF1,tc_Message_Omsg)
    | spl4_2 ),
    inference(subsumption_resolution,[],[f45,f43]) ).

fof(f43,plain,
    ( c_in(sF3,sF1,tc_Message_Omsg)
    | spl4_2 ),
    inference(subsumption_resolution,[],[f42,f33]) ).

fof(f42,plain,
    ( c_in(sF3,sF1,tc_Message_Omsg)
    | c_in(sF3,sF0,tc_Message_Omsg) ),
    inference(resolution,[],[f23,f14]) ).

fof(f14,plain,
    c_in(sF3,sF2,tc_Message_Omsg),
    inference(definition_folding,[],[f1,f11,f10,f9,f13]) ).

fof(f1,axiom,
    c_in(c_Message_Omsg_OCrypt(v_K,v_X),c_union(c_Message_Oparts(v_H),c_Message_Osynth(v_H),tc_Message_Omsg),tc_Message_Omsg),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).

fof(f23,plain,
    ! [X0] :
      ( ~ c_in(X0,sF2,tc_Message_Omsg)
      | c_in(X0,sF1,tc_Message_Omsg)
      | c_in(X0,sF0,tc_Message_Omsg) ),
    inference(superposition,[],[f6,f11]) ).

fof(f6,axiom,
    ! [X3,X6,X4,X5] :
      ( ~ c_in(X3,c_union(X4,X5,X6),X6)
      | c_in(X3,X5,X6)
      | c_in(X3,X4,X6) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OUn__iff_0) ).

fof(f45,plain,
    ( c_in(sF3,v_H,tc_Message_Omsg)
    | c_in(v_X,sF1,tc_Message_Omsg)
    | ~ c_in(sF3,sF1,tc_Message_Omsg) ),
    inference(superposition,[],[f35,f10]) ).

fof(f35,plain,
    ! [X0] :
      ( ~ c_in(sF3,c_Message_Osynth(X0),tc_Message_Omsg)
      | c_in(v_X,c_Message_Osynth(X0),tc_Message_Omsg)
      | c_in(sF3,X0,tc_Message_Omsg) ),
    inference(superposition,[],[f3,f13]) ).

fof(f3,axiom,
    ! [X2,X0,X1] :
      ( ~ c_in(c_Message_Omsg_OCrypt(X0,X1),c_Message_Osynth(X2),tc_Message_Omsg)
      | c_in(c_Message_Omsg_OCrypt(X0,X1),X2,tc_Message_Omsg)
      | c_in(X1,c_Message_Osynth(X2),tc_Message_Omsg) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_OCrypt__synth_1) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.14  % Problem    : SWV272-2 : TPTP v8.1.0. Released v3.2.0.
% 0.04/0.15  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.15/0.37  % Computer : n014.cluster.edu
% 0.15/0.37  % Model    : x86_64 x86_64
% 0.15/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37  % Memory   : 8042.1875MB
% 0.15/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37  % CPULimit   : 300
% 0.15/0.37  % WCLimit    : 300
% 0.15/0.37  % DateTime   : Tue Aug 30 19:13:03 EDT 2022
% 0.15/0.37  % CPUTime    : 
% 0.22/0.53  % (3179)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)
% 1.20/0.53  % (3185)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 1.20/0.53  % (3186)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.20/0.54  % (3193)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 1.20/0.54  % (3194)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.20/0.55  % (3194)First to succeed.
% 1.43/0.55  % (3194)Refutation found. Thanks to Tanya!
% 1.43/0.55  % SZS status Unsatisfiable for theBenchmark
% 1.43/0.55  % SZS output start Proof for theBenchmark
% See solution above
% 1.43/0.55  % (3194)------------------------------
% 1.43/0.55  % (3194)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.43/0.55  % (3194)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.43/0.55  % (3194)Termination reason: Refutation
% 1.43/0.55  
% 1.43/0.55  % (3194)Memory used [KB]: 5373
% 1.43/0.55  % (3194)Time elapsed: 0.116 s
% 1.43/0.55  % (3194)Instructions burned: 3 (million)
% 1.43/0.55  % (3194)------------------------------
% 1.43/0.55  % (3194)------------------------------
% 1.43/0.55  % (3169)Success in time 0.175 s
%------------------------------------------------------------------------------