%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---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_sat --cores 0 -t %d %s

% Computer : n017.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 17:29:00 EDT 2022

% Result   : Theorem 0.19s 0.51s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   13 (   7 unt;   0 def)
%            Number of atoms       :   21 (  20 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   16 (   8   ~;   0   |;   4   &)
%                                         (   0 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   2 con; 0-1 aty)
%            Number of variables   :    5 (   3   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f60,plain,
    $false,
    inference(subsumption_resolution,[],[f58,f57]) ).

fof(f57,plain,
    domain(sK0) = sK0,
    inference(definition_unfolding,[],[f46,f48,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])],[f30,f33]) ).

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

fof(f30,plain,
    ? [X0] :
      ( zero != domain(X0)
      & zero = X0 ),
    inference(ennf_transformation,[],[f21]) ).

fof(f21,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(f46,plain,
    zero = domain(zero),
    inference(cnf_transformation,[],[f16]) ).

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

fof(f58,plain,
    domain(sK0) != sK0,
    inference(definition_unfolding,[],[f49,f48]) ).

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : KLE057+1 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.34  % Computer : n017.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit   : 300
% 0.12/0.34  % WCLimit    : 300
% 0.12/0.34  % DateTime   : Mon Aug 29 23:48:35 EDT 2022
% 0.12/0.34  % CPUTime    : 
% 0.19/0.50  % (7516)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)
% 0.19/0.51  % (7508)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)
% 0.19/0.51  % (7516)First to succeed.
% 0.19/0.51  % (7498)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.51  % (7516)Refutation found. Thanks to Tanya!
% 0.19/0.51  % SZS status Theorem for theBenchmark
% 0.19/0.51  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.51  % (7516)------------------------------
% 0.19/0.51  % (7516)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51  % (7516)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51  % (7516)Termination reason: Refutation
% 0.19/0.51  
% 0.19/0.51  % (7516)Memory used [KB]: 895
% 0.19/0.51  % (7516)Time elapsed: 0.059 s
% 0.19/0.51  % (7516)Instructions burned: 2 (million)
% 0.19/0.51  % (7516)------------------------------
% 0.19/0.51  % (7516)------------------------------
% 0.19/0.51  % (7493)Success in time 0.161 s
%------------------------------------------------------------------------------