%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : HWV010-1 : TPTP v8.1.0. Released v2.5.0.
% 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 : n026.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 16:58:11 EDT 2022

% Result   : Unsatisfiable 0.21s 0.52s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   23 (   2 unt;   0 def)
%            Number of atoms       :   47 (  12 equ)
%            Maximal formula atoms :    3 (   2 avg)
%            Number of connectives :   44 (  20   ~;  22   |;   0   &)
%                                         (   2 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   3 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   2 con; 0-1 aty)
%            Number of variables   :    3 (   3   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f162,plain,
    $false,
    inference(avatar_sat_refutation,[],[f106,f107,f147,f161]) ).

fof(f161,plain,
    ( ~ spl0_1
    | spl0_2 ),
    inference(avatar_contradiction_clause,[],[f160]) ).

fof(f160,plain,
    ( $false
    | ~ spl0_1
    | spl0_2 ),
    inference(subsumption_resolution,[],[f150,f105]) ).

fof(f105,plain,
    ( ~ p_Empty(t_139)
    | spl0_2 ),
    inference(avatar_component_clause,[],[f103]) ).

fof(f103,plain,
    ( spl0_2
  <=> p_Empty(t_139) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f150,plain,
    ( p_Empty(t_139)
    | ~ spl0_1 ),
    inference(trivial_inequality_removal,[],[f148]) ).

fof(f148,plain,
    ( p_Empty(t_139)
    | n0 != n0
    | ~ spl0_1 ),
    inference(superposition,[],[f24,f100]) ).

fof(f100,plain,
    ( n0 = int_level(t_139)
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f99]) ).

fof(f99,plain,
    ( spl0_1
  <=> n0 = int_level(t_139) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f24,axiom,
    ! [X28] :
      ( n0 != int_level(X28)
      | p_Empty(X28) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_24) ).

fof(f147,plain,
    ( spl0_1
    | ~ spl0_2 ),
    inference(avatar_contradiction_clause,[],[f146]) ).

fof(f146,plain,
    ( $false
    | spl0_1
    | ~ spl0_2 ),
    inference(subsumption_resolution,[],[f145,f101]) ).

fof(f101,plain,
    ( n0 != int_level(t_139)
    | spl0_1 ),
    inference(avatar_component_clause,[],[f99]) ).

fof(f145,plain,
    ( n0 = int_level(t_139)
    | ~ spl0_2 ),
    inference(resolution,[],[f25,f104]) ).

fof(f104,plain,
    ( p_Empty(t_139)
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f103]) ).

fof(f25,axiom,
    ! [X29] :
      ( ~ p_Empty(X29)
      | n0 = int_level(X29) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_25) ).

fof(f107,plain,
    ( spl0_2
    | spl0_1 ),
    inference(avatar_split_clause,[],[f94,f99,f103]) ).

fof(f94,plain,
    ( n0 = int_level(t_139)
    | p_Empty(t_139) ),
    inference(definition_unfolding,[],[f92,f21]) ).

fof(f21,axiom,
    ! [X25] : level(X25) = int_level(X25),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_21) ).

fof(f92,axiom,
    ( p_Empty(t_139)
    | n0 = level(t_139) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quest_2) ).

fof(f106,plain,
    ( ~ spl0_1
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f93,f103,f99]) ).

fof(f93,plain,
    ( ~ p_Empty(t_139)
    | n0 != int_level(t_139) ),
    inference(definition_unfolding,[],[f91,f21]) ).

fof(f91,axiom,
    ( ~ p_Empty(t_139)
    | n0 != level(t_139) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quest_1) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : HWV010-1 : TPTP v8.1.0. Released v2.5.0.
% 0.03/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.34  % Computer : n026.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Mon Aug 29 23:10:20 EDT 2022
% 0.14/0.35  % CPUTime    : 
% 0.21/0.51  % (30101)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.21/0.51  % (30117)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.21/0.51  % (30097)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)
% 0.21/0.51  % (30109)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.21/0.51  % (30099)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.21/0.52  % (30096)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.21/0.52  % (30109)First to succeed.
% 0.21/0.52  % (30110)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)
% 0.21/0.52  % (30111)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)
% 0.21/0.52  % (30102)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)
% 0.21/0.52  % (30109)Refutation found. Thanks to Tanya!
% 0.21/0.52  % SZS status Unsatisfiable for theBenchmark
% 0.21/0.52  % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.52  % (30109)------------------------------
% 0.21/0.52  % (30109)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.52  % (30109)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.52  % (30109)Termination reason: Refutation
% 0.21/0.52  
% 0.21/0.52  % (30109)Memory used [KB]: 5628
% 0.21/0.52  % (30109)Time elapsed: 0.101 s
% 0.21/0.52  % (30109)Instructions burned: 8 (million)
% 0.21/0.52  % (30109)------------------------------
% 0.21/0.52  % (30109)------------------------------
% 0.21/0.52  % (30081)Success in time 0.169 s
%------------------------------------------------------------------------------