%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : KLE057+1 : TPTP v8.1.0. Released v4.0.0.
% 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 : n012.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 17:27:56 EDT 2022

% Result   : Theorem 0.19s 0.50s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   16 (   9 unt;   0 def)
%            Number of atoms       :   25 (  21 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   18 (   9   ~;   0   |;   4   &)
%                                         (   1 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   2 con; 0-1 aty)
%            Number of variables   :    7 (   5   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f72,plain,
    $false,
    inference(subsumption_resolution,[],[f58,f69]) ).

fof(f69,plain,
    ~ sQ1_eqProxy(sK0,domain(sK0)),
    inference(equality_proxy_replacement,[],[f55,f56]) ).

fof(f56,plain,
    ! [X0,X1] :
      ( sQ1_eqProxy(X0,X1)
    <=> X0 = X1 ),
    introduced(equality_proxy_definition,[new_symbols(naming,[sQ1_eqProxy])]) ).

fof(f55,plain,
    sK0 != domain(sK0),
    inference(definition_unfolding,[],[f49,f48]) ).

fof(f48,plain,
    zero = sK0,
    inference(cnf_transformation,[],[f34]) ).

fof(f34,plain,
    ( zero != domain(sK0)
    & zero = sK0 ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f27,f33]) ).

fof(f33,plain,
    ( ? [X0] :
        ( zero != domain(X0)
        & zero = X0 )
   => ( zero != domain(sK0)
      & zero = sK0 ) ),
    introduced(choice_axiom,[]) ).

fof(f27,plain,
    ? [X0] :
      ( zero != domain(X0)
      & zero = X0 ),
    inference(ennf_transformation,[],[f20]) ).

fof(f20,plain,
    ~ ! [X0] :
        ( zero = X0
       => zero = domain(X0) ),
    inference(rectify,[],[f19]) ).

fof(f19,negated_conjecture,
    ~ ! [X3] :
        ( zero = X3
       => zero = domain(X3) ),
    inference(negated_conjecture,[],[f18]) ).

fof(f18,conjecture,
    ! [X3] :
      ( zero = X3
     => zero = domain(X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).

fof(f49,plain,
    zero != domain(sK0),
    inference(cnf_transformation,[],[f34]) ).

fof(f58,plain,
    sQ1_eqProxy(sK0,domain(sK0)),
    inference(equality_proxy_replacement,[],[f51,f56]) ).

fof(f51,plain,
    sK0 = domain(sK0),
    inference(definition_unfolding,[],[f37,f48,f48]) ).

fof(f37,plain,
    zero = domain(zero),
    inference(cnf_transformation,[],[f16]) ).

fof(f16,axiom,
    zero = domain(zero),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',domain4) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem    : KLE057+1 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.12  % 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 : n012.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 00:23:36 EDT 2022
% 0.12/0.34  % CPUTime    : 
% 0.19/0.48  % (14382)lrs+10_1:1_ep=R:lcm=predicate:lma=on:sos=all:spb=goal:ss=included:i=12:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/12Mi)
% 0.19/0.49  % (14398)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.49  % (14382)First to succeed.
% 0.19/0.49  % (14373)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.19/0.49  % (14390)ott+1010_1:1_sd=2:sos=on:sp=occurrence:ss=axioms:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.50  % (14382)Refutation found. Thanks to Tanya!
% 0.19/0.50  % SZS status Theorem for theBenchmark
% 0.19/0.50  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.50  % (14382)------------------------------
% 0.19/0.50  % (14382)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50  % (14382)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50  % (14382)Termination reason: Refutation
% 0.19/0.50  
% 0.19/0.50  % (14382)Memory used [KB]: 5884
% 0.19/0.50  % (14382)Time elapsed: 0.006 s
% 0.19/0.50  % (14382)Instructions burned: 1 (million)
% 0.19/0.50  % (14382)------------------------------
% 0.19/0.50  % (14382)------------------------------
% 0.19/0.50  % (14371)Success in time 0.154 s
%------------------------------------------------------------------------------