%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SYN726-1 : 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_uns --cores 0 -t %d %s

% Computer : n006.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 19:28:13 EDT 2022

% Result   : Unsatisfiable 0.20s 0.58s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   34 (   5 unt;   0 def)
%            Number of atoms       :   70 (   0 equ)
%            Maximal formula atoms :    3 (   2 avg)
%            Number of connectives :   74 (  38   ~;  34   |;   0   &)
%                                         (   2 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   3 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   4 con; 0-0 aty)
%            Number of variables   :   19 (  19   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f147,plain,
    $false,
    inference(avatar_sat_refutation,[],[f55,f82,f146]) ).

fof(f146,plain,
    ( ~ spl0_1
    | ~ spl0_2 ),
    inference(avatar_contradiction_clause,[],[f145]) ).

fof(f145,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(subsumption_resolution,[],[f143,f8]) ).

fof(f8,plain,
    q(sk1,sk2),
    inference(resolution,[],[f4,f5]) ).

fof(f5,axiom,
    ~ p(sk1,sk2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm400_5) ).

fof(f4,axiom,
    ! [X2,X0] :
      ( p(X0,X2)
      | q(X0,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm400_4) ).

fof(f143,plain,
    ( ~ q(sk1,sk2)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(resolution,[],[f83,f41]) ).

fof(f41,plain,
    ( q(sk1,sk3)
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f39]) ).

fof(f39,plain,
    ( spl0_2
  <=> q(sk1,sk3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f83,plain,
    ( ! [X0] :
        ( ~ q(X0,sk3)
        | ~ q(X0,sk2) )
    | ~ spl0_1 ),
    inference(resolution,[],[f36,f21]) ).

fof(f21,plain,
    ! [X0,X1] :
      ( ~ q(X1,sk4)
      | ~ q(X0,X1)
      | ~ q(X0,sk3) ),
    inference(resolution,[],[f16,f2]) ).

fof(f2,axiom,
    ! [X2,X0,X1] :
      ( q(X0,X1)
      | ~ q(X2,X1)
      | ~ q(X0,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm400_2) ).

fof(f16,plain,
    ! [X2] :
      ( ~ q(X2,sk4)
      | ~ q(X2,sk3) ),
    inference(resolution,[],[f10,f3]) ).

fof(f3,axiom,
    ! [X2,X0] :
      ( q(X2,X0)
      | ~ q(X0,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm400_3) ).

fof(f10,plain,
    ! [X0] :
      ( ~ q(sk3,X0)
      | ~ q(X0,sk4) ),
    inference(resolution,[],[f2,f6]) ).

fof(f6,axiom,
    ~ q(sk3,sk4),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm400_6) ).

fof(f36,plain,
    ( q(sk2,sk4)
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f35]) ).

fof(f35,plain,
    ( spl0_1
  <=> q(sk2,sk4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f82,plain,
    spl0_2,
    inference(avatar_contradiction_clause,[],[f81]) ).

fof(f81,plain,
    ( $false
    | spl0_2 ),
    inference(subsumption_resolution,[],[f78,f40]) ).

fof(f40,plain,
    ( ~ q(sk1,sk3)
    | spl0_2 ),
    inference(avatar_component_clause,[],[f39]) ).

fof(f78,plain,
    ( q(sk1,sk3)
    | spl0_2 ),
    inference(resolution,[],[f77,f20]) ).

fof(f20,plain,
    ! [X2] :
      ( q(X2,sk2)
      | q(sk1,X2) ),
    inference(resolution,[],[f14,f4]) ).

fof(f14,plain,
    ! [X2] :
      ( ~ p(X2,sk2)
      | q(sk1,X2) ),
    inference(resolution,[],[f9,f4]) ).

fof(f9,plain,
    ! [X0] :
      ( ~ p(sk1,X0)
      | ~ p(X0,sk2) ),
    inference(resolution,[],[f1,f5]) ).

fof(f1,axiom,
    ! [X2,X0,X1] :
      ( p(X0,X1)
      | ~ p(X2,X1)
      | ~ p(X0,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm400_1) ).

fof(f77,plain,
    ( ~ q(sk3,sk2)
    | spl0_2 ),
    inference(resolution,[],[f70,f3]) ).

fof(f70,plain,
    ( ~ q(sk2,sk3)
    | spl0_2 ),
    inference(resolution,[],[f57,f8]) ).

fof(f57,plain,
    ( ! [X0] :
        ( ~ q(sk1,X0)
        | ~ q(X0,sk3) )
    | spl0_2 ),
    inference(resolution,[],[f40,f2]) ).

fof(f55,plain,
    ( ~ spl0_2
    | spl0_1 ),
    inference(avatar_split_clause,[],[f48,f35,f39]) ).

fof(f48,plain,
    ( ~ q(sk1,sk3)
    | spl0_1 ),
    inference(resolution,[],[f45,f16]) ).

fof(f45,plain,
    ( q(sk1,sk4)
    | spl0_1 ),
    inference(resolution,[],[f44,f20]) ).

fof(f44,plain,
    ( ~ q(sk4,sk2)
    | spl0_1 ),
    inference(resolution,[],[f37,f3]) ).

fof(f37,plain,
    ( ~ q(sk2,sk4)
    | spl0_1 ),
    inference(avatar_component_clause,[],[f35]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem    : SYN726-1 : TPTP v8.1.0. Released v2.5.0.
% 0.12/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34  % Computer : n006.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    : 300
% 0.13/0.34  % DateTime   : Tue Aug 30 22:17:09 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.20/0.55  % (29685)dis+4_1:1_bd=off:cond=fast:fde=unused:lcm=reverse:lma=on:nicw=on:nwc=2.0:s2a=on:s2agt=16:sac=on:sp=frequency:i=23:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/23Mi)
% 0.20/0.56  % (29688)dis+1011_3:29_av=off:awrs=decay:awrsf=32:bce=on:drc=off:fde=unused:gsp=on:irw=on:nwc=2.0:spb=goal_then_units:updr=off:urr=ec_only:i=29:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/29Mi)
% 0.20/0.57  % (29685)First to succeed.
% 0.20/0.57  % (29677)lrs+10_1:1_bd=off:drc=off:lcm=reverse:nwc=5.0:sd=1:sgt=16:spb=goal_then_units:ss=axioms:to=lpo:i=43:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/43Mi)
% 0.20/0.58  % (29680)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.20/0.58  % (29685)Refutation found. Thanks to Tanya!
% 0.20/0.58  % SZS status Unsatisfiable for theBenchmark
% 0.20/0.58  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.58  % (29685)------------------------------
% 0.20/0.58  % (29685)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.58  % (29685)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.58  % (29685)Termination reason: Refutation
% 0.20/0.58  
% 0.20/0.58  % (29685)Memory used [KB]: 5884
% 0.20/0.58  % (29685)Time elapsed: 0.147 s
% 0.20/0.58  % (29685)Instructions burned: 8 (million)
% 0.20/0.58  % (29685)------------------------------
% 0.20/0.58  % (29685)------------------------------
% 0.20/0.58  % (29673)Success in time 0.229 s
%------------------------------------------------------------------------------