%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : NUM903_1 : TPTP v8.1.0. Released v5.0.0.
% 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 : n028.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 18:02:49 EDT 2022

% Result   : Theorem 0.19s 0.50s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   15 (  11 unt;   2 typ;   0 def)
%            Number of atoms       :   15 (   9 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   10 (   8   ~;   0   |;   0   &)
%                                         (   1 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Maximal term depth    :    3 (   2 avg)
%            Number arithmetic     :   29 (   0 atm;  20 fun;   0 num;   9 var)
%            Number of types       :    2 (   0 usr;   1 ari)
%            Number of type conns  :    2 (   1   >;   1   *;   0   +;   0  <<)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    2 (   1 usr;   1 con; 0-1 aty)
%            Number of variables   :    9 (   7   !;   2   ?;   9   :)

% Comments : 
%------------------------------------------------------------------------------
tff(func_def_4,type,
    sK0: $rat ).

tff(pred_def_2,type,
    sQ1_eqProxy: ( $rat * $rat ) > $o ).

tff(f35,plain,
    $false,
    inference(subsumption_resolution,[],[f34,f33]) ).

tff(f33,plain,
    ! [X0: $rat] : sQ1_eqProxy(X0,X0),
    inference(evaluation,[],[f20]) ).

tff(f20,plain,
    ! [X0: $rat] : sQ1_eqProxy($uminus($uminus(X0)),X0),
    inference(equality_proxy_replacement,[],[f13,f18]) ).

tff(f18,plain,
    ! [X0: $rat,X1: $rat] :
      ( sQ1_eqProxy(X0,X1)
    <=> ( X0 = X1 ) ),
    introduced(equality_proxy_definition,[new_symbols(naming,[sQ1_eqProxy])]) ).

tff(f13,plain,
    ! [X0: $rat] : ( $uminus($uminus(X0)) = X0 ),
    introduced(theory_axiom_153,[]) ).

tff(f34,plain,
    ~ sQ1_eqProxy(sK0,sK0),
    inference(evaluation,[],[f25]) ).

tff(f25,plain,
    ~ sQ1_eqProxy($uminus($uminus(sK0)),sK0),
    inference(equality_proxy_replacement,[],[f17,f18]) ).

tff(f17,plain,
    $uminus($uminus(sK0)) != sK0,
    inference(cnf_transformation,[],[f16]) ).

tff(f16,plain,
    $uminus($uminus(sK0)) != sK0,
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f14,f15]) ).

tff(f15,plain,
    ( ? [X0: $rat] : ( $uminus($uminus(X0)) != X0 )
   => ( $uminus($uminus(sK0)) != sK0 ) ),
    introduced(choice_axiom,[]) ).

tff(f14,plain,
    ? [X0: $rat] : ( $uminus($uminus(X0)) != X0 ),
    inference(ennf_transformation,[],[f2]) ).

tff(f2,negated_conjecture,
    ~ ! [X0: $rat] : ( $uminus($uminus(X0)) = X0 ),
    inference(negated_conjecture,[],[f1]) ).

tff(f1,conjecture,
    ! [X0: $rat] : ( $uminus($uminus(X0)) = X0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rat_uminus_problem_7) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : NUM903=1 : TPTP v8.1.0. Released v5.0.0.
% 0.11/0.13  % 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 : n028.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 09:23:48 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.19/0.50  % (13577)lrs+1_3:1_ep=RSTC:sos=on:urr=on:i=43:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/43Mi)
% 0.19/0.50  % (13554)ott+1011_1:2_br=off:bs=unit_only:bsr=unit_only:nwc=5.0:s2a=on:s2agt=32:urr=on:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/37Mi)
% 0.19/0.50  % (13577)First to succeed.
% 0.19/0.50  % (13561)dis+32_1:1_bd=off:nm=4:sos=on:ss=included:i=4:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/4Mi)
% 0.19/0.50  % (13577)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  % (13577)------------------------------
% 0.19/0.50  % (13577)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50  % (13577)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50  % (13577)Termination reason: Refutation
% 0.19/0.50  
% 0.19/0.50  % (13577)Memory used [KB]: 5373
% 0.19/0.50  % (13577)Time elapsed: 0.004 s
% 0.19/0.50  % (13577)Instructions burned: 1 (million)
% 0.19/0.50  % (13577)------------------------------
% 0.19/0.50  % (13577)------------------------------
% 0.19/0.50  % (13545)Success in time 0.153 s
%------------------------------------------------------------------------------