%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SET838-2 : 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 : n009.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 18:22:28 EDT 2022

% Result   : Unsatisfiable 0.19s 0.50s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   17 (  11 unt;   0 def)
%            Number of atoms       :   23 (  22 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   15 (   9   ~;   6   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   3 con; 0-1 aty)
%            Number of variables   :    3 (   3   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f22,plain,
    $false,
    inference(subsumption_resolution,[],[f21,f11]) ).

fof(f11,plain,
    v_xa(sF0) != sF0,
    inference(subsumption_resolution,[],[f10,f5]) ).

fof(f5,plain,
    v_g(v_x) = sF0,
    introduced(function_definition,[]) ).

fof(f10,plain,
    ( v_g(v_x) != sF0
    | v_xa(sF0) != sF0 ),
    inference(superposition,[],[f4,f8]) ).

fof(f8,plain,
    v_x = v_f(sF0),
    inference(forward_demodulation,[],[f6,f7]) ).

fof(f7,plain,
    v_x = sF1,
    inference(definition_folding,[],[f1,f6,f5]) ).

fof(f1,axiom,
    v_x = v_f(v_g(v_x)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).

fof(f6,plain,
    v_f(sF0) = sF1,
    introduced(function_definition,[]) ).

fof(f4,axiom,
    ! [X0] :
      ( v_g(v_f(X0)) != X0
      | v_xa(X0) != X0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).

fof(f21,plain,
    v_xa(sF0) = sF0,
    inference(forward_demodulation,[],[f20,f5]) ).

fof(f20,plain,
    v_g(v_x) = v_xa(sF0),
    inference(backward_demodulation,[],[f13,f18]) ).

fof(f18,plain,
    v_x = v_f(v_xa(sF0)),
    inference(trivial_inequality_removal,[],[f16]) ).

fof(f16,plain,
    ( v_x = v_f(v_xa(sF0))
    | v_f(v_xa(sF0)) != v_f(v_xa(sF0)) ),
    inference(superposition,[],[f2,f13]) ).

fof(f2,axiom,
    ! [X0] :
      ( v_f(v_g(X0)) != X0
      | v_x = X0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).

fof(f13,plain,
    v_g(v_f(v_xa(sF0))) = v_xa(sF0),
    inference(subsumption_resolution,[],[f12,f5]) ).

fof(f12,plain,
    ( v_g(v_x) != sF0
    | v_g(v_f(v_xa(sF0))) = v_xa(sF0) ),
    inference(superposition,[],[f3,f8]) ).

fof(f3,axiom,
    ! [X0] :
      ( v_g(v_f(X0)) != X0
      | v_xa(X0) = v_g(v_f(v_xa(X0))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem    : SET838-2 : TPTP v8.1.0. Released v3.2.0.
% 0.06/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.33  % Computer : n009.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit   : 300
% 0.12/0.33  % WCLimit    : 300
% 0.12/0.33  % DateTime   : Tue Aug 30 14:20:35 EDT 2022
% 0.12/0.33  % CPUTime    : 
% 0.19/0.48  % (1718)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 0.19/0.49  % (1738)fmb+10_1:1_fmbes=contour:fmbsr=2.0:fmbsso=input_usage:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.19/0.50  % (1725)lrs+1010_1:4_amm=off:bce=on:sd=1:sos=on:ss=included:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.50  % (1731)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)
% 0.19/0.50  % (1737)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)
% 0.19/0.50  % (1718)First to succeed.
% 0.19/0.50  % (1718)Refutation found. Thanks to Tanya!
% 0.19/0.50  % SZS status Unsatisfiable for theBenchmark
% 0.19/0.50  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.50  % (1718)------------------------------
% 0.19/0.50  % (1718)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50  % (1718)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50  % (1718)Termination reason: Refutation
% 0.19/0.50  
% 0.19/0.50  % (1718)Memory used [KB]: 5756
% 0.19/0.50  % (1718)Time elapsed: 0.103 s
% 0.19/0.50  % (1718)Instructions burned: 2 (million)
% 0.19/0.50  % (1718)------------------------------
% 0.19/0.50  % (1718)------------------------------
% 0.19/0.50  % (1717)Success in time 0.16 s
%------------------------------------------------------------------------------