%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SWV250-2 : 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 : n018.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 18:44:40 EDT 2022

% Result   : Unsatisfiable 0.20s 0.50s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   16
% Syntax   : Number of formulae    :   39 (  23 unt;   0 def)
%            Number of atoms       :   57 (  16 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   34 (  16   ~;  16   |;   0   &)
%                                         (   2 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   2 avg)
%            Maximal term depth    :    5 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   3 prp; 0-3 aty)
%            Number of functors    :   14 (  14 usr;  11 con; 0-3 aty)
%            Number of variables   :   22 (  22   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f302,plain,
    $false,
    inference(avatar_sat_refutation,[],[f154,f297,f301]) ).

fof(f301,plain,
    ~ spl7_1,
    inference(avatar_contradiction_clause,[],[f300]) ).

fof(f300,plain,
    ( $false
    | ~ spl7_1 ),
    inference(subsumption_resolution,[],[f299,f13]) ).

fof(f13,plain,
    ~ c_in(v_x,sF4,tc_Message_Omsg),
    inference(definition_folding,[],[f2,f12,f11,f10,f9,f8]) ).

fof(f8,plain,
    c_Message_Oanalz(v_G) = sF0,
    introduced(function_definition,[]) ).

fof(f9,plain,
    c_Message_Osynth(sF0) = sF1,
    introduced(function_definition,[]) ).

fof(f10,plain,
    c_union(v_G,v_H,tc_Message_Omsg) = sF2,
    introduced(function_definition,[]) ).

fof(f11,plain,
    c_Message_Oanalz(sF2) = sF3,
    introduced(function_definition,[]) ).

fof(f12,plain,
    sF4 = c_union(sF1,sF3,tc_Message_Omsg),
    introduced(function_definition,[]) ).

fof(f2,axiom,
    ~ c_in(v_x,c_union(c_Message_Osynth(c_Message_Oanalz(v_G)),c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).

fof(f299,plain,
    ( c_in(v_x,sF4,tc_Message_Omsg)
    | ~ spl7_1 ),
    inference(resolution,[],[f149,f21]) ).

fof(f21,plain,
    ! [X1] :
      ( ~ c_in(X1,sF3,tc_Message_Omsg)
      | c_in(X1,sF4,tc_Message_Omsg) ),
    inference(superposition,[],[f7,f12]) ).

fof(f7,axiom,
    ! [X2,X3,X4,X5] :
      ( c_in(X2,c_union(X3,X4,X5),X5)
      | ~ c_in(X2,X4,X5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OUn__iff_2) ).

fof(f149,plain,
    ( c_in(v_x,sF3,tc_Message_Omsg)
    | ~ spl7_1 ),
    inference(avatar_component_clause,[],[f147]) ).

fof(f147,plain,
    ( spl7_1
  <=> c_in(v_x,sF3,tc_Message_Omsg) ),
    introduced(avatar_definition,[new_symbols(naming,[spl7_1])]) ).

fof(f297,plain,
    ~ spl7_2,
    inference(avatar_contradiction_clause,[],[f296]) ).

fof(f296,plain,
    ( $false
    | ~ spl7_2 ),
    inference(subsumption_resolution,[],[f295,f13]) ).

fof(f295,plain,
    ( c_in(v_x,sF4,tc_Message_Omsg)
    | ~ spl7_2 ),
    inference(resolution,[],[f153,f18]) ).

fof(f18,plain,
    ! [X1] :
      ( ~ c_in(X1,sF1,tc_Message_Omsg)
      | c_in(X1,sF4,tc_Message_Omsg) ),
    inference(superposition,[],[f6,f12]) ).

fof(f6,axiom,
    ! [X2,X3,X4,X5] :
      ( c_in(X2,c_union(X3,X4,X5),X5)
      | ~ c_in(X2,X3,X5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OUn__iff_1) ).

fof(f153,plain,
    ( c_in(v_x,sF1,tc_Message_Omsg)
    | ~ spl7_2 ),
    inference(avatar_component_clause,[],[f151]) ).

fof(f151,plain,
    ( spl7_2
  <=> c_in(v_x,sF1,tc_Message_Omsg) ),
    introduced(avatar_definition,[new_symbols(naming,[spl7_2])]) ).

fof(f154,plain,
    ( spl7_1
    | spl7_2 ),
    inference(avatar_split_clause,[],[f145,f151,f147]) ).

fof(f145,plain,
    ( c_in(v_x,sF1,tc_Message_Omsg)
    | c_in(v_x,sF3,tc_Message_Omsg) ),
    inference(resolution,[],[f97,f16]) ).

fof(f16,plain,
    c_in(v_x,sF6,tc_Message_Omsg),
    inference(definition_folding,[],[f1,f15,f14,f9,f8]) ).

fof(f14,plain,
    c_union(sF1,v_H,tc_Message_Omsg) = sF5,
    introduced(function_definition,[]) ).

fof(f15,plain,
    c_Message_Oanalz(sF5) = sF6,
    introduced(function_definition,[]) ).

fof(f1,axiom,
    c_in(v_x,c_Message_Oanalz(c_union(c_Message_Osynth(c_Message_Oanalz(v_G)),v_H,tc_Message_Omsg)),tc_Message_Omsg),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).

fof(f97,plain,
    ! [X0] :
      ( ~ c_in(X0,sF6,tc_Message_Omsg)
      | c_in(X0,sF1,tc_Message_Omsg)
      | c_in(X0,sF3,tc_Message_Omsg) ),
    inference(superposition,[],[f5,f80]) ).

fof(f80,plain,
    sF6 = c_union(sF3,sF1,tc_Message_Omsg),
    inference(forward_demodulation,[],[f79,f15]) ).

fof(f79,plain,
    c_Message_Oanalz(sF5) = c_union(sF3,sF1,tc_Message_Omsg),
    inference(forward_demodulation,[],[f78,f11]) ).

fof(f78,plain,
    c_Message_Oanalz(sF5) = c_union(c_Message_Oanalz(sF2),sF1,tc_Message_Omsg),
    inference(forward_demodulation,[],[f72,f14]) ).

fof(f72,plain,
    c_union(c_Message_Oanalz(sF2),sF1,tc_Message_Omsg) = c_Message_Oanalz(c_union(sF1,v_H,tc_Message_Omsg)),
    inference(superposition,[],[f43,f10]) ).

fof(f43,plain,
    ! [X0] : c_Message_Oanalz(c_union(sF1,X0,tc_Message_Omsg)) = c_union(c_Message_Oanalz(c_union(v_G,X0,tc_Message_Omsg)),sF1,tc_Message_Omsg),
    inference(forward_demodulation,[],[f38,f23]) ).

fof(f23,plain,
    ! [X0] : c_Message_Oanalz(c_union(v_G,X0,tc_Message_Omsg)) = c_Message_Oanalz(c_union(sF0,X0,tc_Message_Omsg)),
    inference(superposition,[],[f3,f8]) ).

fof(f3,axiom,
    ! [X0,X1] : c_Message_Oanalz(c_union(c_Message_Oanalz(X0),X1,tc_Message_Omsg)) = c_Message_Oanalz(c_union(X0,X1,tc_Message_Omsg)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Oanalz__analz__Un_0) ).

fof(f38,plain,
    ! [X0] : c_union(c_Message_Oanalz(c_union(sF0,X0,tc_Message_Omsg)),sF1,tc_Message_Omsg) = c_Message_Oanalz(c_union(sF1,X0,tc_Message_Omsg)),
    inference(superposition,[],[f4,f9]) ).

fof(f4,axiom,
    ! [X0,X1] : c_Message_Oanalz(c_union(c_Message_Osynth(X0),X1,tc_Message_Omsg)) = c_union(c_Message_Oanalz(c_union(X0,X1,tc_Message_Omsg)),c_Message_Osynth(X0),tc_Message_Omsg),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Oanalz__synth__Un_0) ).

fof(f5,axiom,
    ! [X2,X3,X4,X5] :
      ( ~ c_in(X2,c_union(X3,X4,X5),X5)
      | c_in(X2,X3,X5)
      | c_in(X2,X4,X5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OUn__iff_0) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.12  % Problem    : SWV250-2 : TPTP v8.1.0. Released v3.2.0.
% 0.05/0.13  % 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 : n018.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 19:13:10 EDT 2022
% 0.12/0.34  % CPUTime    : 
% 0.20/0.46  % (6547)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 0.20/0.49  % (6560)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)
% 0.20/0.49  % (6576)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)
% 0.20/0.49  % (6576)Refutation not found, incomplete strategy% (6576)------------------------------
% 0.20/0.49  % (6576)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.49  % (6547)First to succeed.
% 0.20/0.49  % (6576)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.49  % (6576)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.49  
% 0.20/0.49  % (6576)Memory used [KB]: 5756
% 0.20/0.49  % (6576)Time elapsed: 0.102 s
% 0.20/0.49  % (6576)Instructions burned: 1 (million)
% 0.20/0.49  % (6576)------------------------------
% 0.20/0.49  % (6576)------------------------------
% 0.20/0.49  % (6560)Instruction limit reached!
% 0.20/0.49  % (6560)------------------------------
% 0.20/0.49  % (6560)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.49  % (6560)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.49  % (6560)Termination reason: Unknown
% 0.20/0.49  % (6560)Termination phase: Saturation
% 0.20/0.49  
% 0.20/0.49  % (6560)Memory used [KB]: 5884
% 0.20/0.49  % (6560)Time elapsed: 0.114 s
% 0.20/0.49  % (6560)Instructions burned: 4 (million)
% 0.20/0.49  % (6560)------------------------------
% 0.20/0.49  % (6560)------------------------------
% 0.20/0.50  % (6547)Refutation found. Thanks to Tanya!
% 0.20/0.50  % SZS status Unsatisfiable for theBenchmark
% 0.20/0.50  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.50  % (6547)------------------------------
% 0.20/0.50  % (6547)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.50  % (6547)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.50  % (6547)Termination reason: Refutation
% 0.20/0.50  
% 0.20/0.50  % (6547)Memory used [KB]: 6268
% 0.20/0.50  % (6547)Time elapsed: 0.094 s
% 0.20/0.50  % (6547)Instructions burned: 21 (million)
% 0.20/0.50  % (6547)------------------------------
% 0.20/0.50  % (6547)------------------------------
% 0.20/0.50  % (6546)Success in time 0.146 s
%------------------------------------------------------------------------------