%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : COL051-1 : TPTP v8.1.0. Released v1.0.0.
% 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 15:51:51 EDT 2022

% Result   : Unsatisfiable 0.19s 0.48s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   14 (  11 unt;   0 def)
%            Number of atoms       :   18 (   4 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   12 (   8   ~;   3   |;   0   &)
%                                         (   1 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   1 con; 0-2 aty)
%            Number of variables   :   23 (  23   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f52,plain,
    $false,
    inference(unit_resulting_resolution,[],[f14,f44,f11]) ).

fof(f11,plain,
    ! [X0,X1] :
      ( ~ sQ0_eqProxy(X0,X1)
      | sQ0_eqProxy(X1,X0) ),
    inference(equality_proxy_axiom,[],[f4]) ).

fof(f4,plain,
    ! [X0,X1] :
      ( sQ0_eqProxy(X0,X1)
    <=> X0 = X1 ),
    introduced(equality_proxy_definition,[new_symbols(naming,[sQ0_eqProxy])]) ).

fof(f44,plain,
    ! [X0] : ~ sQ0_eqProxy(response(X0,X0),response(mocking_bird,response(mocking_bird,X0))),
    inference(unit_resulting_resolution,[],[f6,f19,f12]) ).

fof(f12,plain,
    ! [X2,X0,X1] :
      ( ~ sQ0_eqProxy(X1,X2)
      | sQ0_eqProxy(X0,X2)
      | ~ sQ0_eqProxy(X0,X1) ),
    inference(equality_proxy_axiom,[],[f4]) ).

fof(f19,plain,
    ! [X0] : ~ sQ0_eqProxy(X0,response(mocking_bird,X0)),
    inference(unit_resulting_resolution,[],[f6,f13,f12]) ).

fof(f13,plain,
    ! [X1] : ~ sQ0_eqProxy(X1,response(X1,X1)),
    inference(forward_literal_rewriting,[],[f5,f11]) ).

fof(f5,plain,
    ! [X1] : ~ sQ0_eqProxy(response(X1,X1),X1),
    inference(equality_proxy_replacement,[],[f3,f4]) ).

fof(f3,axiom,
    ! [X1] : response(X1,X1) != X1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_the_bird_exists) ).

fof(f6,plain,
    ! [X0] : sQ0_eqProxy(response(mocking_bird,X0),response(X0,X0)),
    inference(equality_proxy_replacement,[],[f1,f4]) ).

fof(f1,axiom,
    ! [X0] : response(mocking_bird,X0) = response(X0,X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mocking_bird_exists) ).

fof(f14,plain,
    ! [X2,X0,X1] : sQ0_eqProxy(response(X1,response(X0,X2)),response(compose(X1,X0),X2)),
    inference(forward_literal_rewriting,[],[f7,f11]) ).

fof(f7,plain,
    ! [X2,X0,X1] : sQ0_eqProxy(response(compose(X1,X0),X2),response(X1,response(X0,X2))),
    inference(equality_proxy_replacement,[],[f2,f4]) ).

fof(f2,axiom,
    ! [X2,X0,X1] : response(compose(X1,X0),X2) = response(X1,response(X0,X2)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',composer_exists) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : COL051-1 : TPTP v8.1.0. Released v1.0.0.
% 0.11/0.12  % 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 : n006.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   : Mon Aug 29 16:43:10 EDT 2022
% 0.12/0.33  % CPUTime    : 
% 0.19/0.47  % (20480)lrs+10_1:16_awrs=converge:awrsf=40:br=off:ep=RSTC:flr=on:gsp=on:nwc=3.0:sos=on:urr=on:i=46:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/46Mi)
% 0.19/0.47  % (20496)lrs+10_1:2_bd=preordered:drc=off:fd=preordered:fde=unused:sp=const_min:to=lpo:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/177Mi)
% 0.19/0.47  % (20480)First to succeed.
% 0.19/0.48  % (20480)Refutation found. Thanks to Tanya!
% 0.19/0.48  % SZS status Unsatisfiable for theBenchmark
% 0.19/0.48  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.48  % (20480)------------------------------
% 0.19/0.48  % (20480)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.48  % (20480)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.48  % (20480)Termination reason: Refutation
% 0.19/0.48  
% 0.19/0.48  % (20480)Memory used [KB]: 5500
% 0.19/0.48  % (20480)Time elapsed: 0.077 s
% 0.19/0.48  % (20480)Instructions burned: 4 (million)
% 0.19/0.48  % (20480)------------------------------
% 0.19/0.48  % (20480)------------------------------
% 0.19/0.48  % (20470)Success in time 0.135 s
%------------------------------------------------------------------------------