%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : ARI200_1 : TPTP v8.2.0. Released v5.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n016.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 : Mon May 20 18:49:40 EDT 2024

% Result   : Theorem 0.20s 0.37s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   13 (  10 unt;   0 typ;   0 def)
%            Number of atoms       :   16 (   3 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :    7 (   4   ~;   3   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number arithmetic     :   45 (  12 atm;   8 fun;  12 num;  13 var)
%            Number of types       :    1 (   0 usr;   1 ari)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :    3 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   0 usr;   3 con; 0-2 aty)
%            Number of variables   :   13 (  11   !;   2   ?;  13   :)

% Comments : 
%------------------------------------------------------------------------------
tff(f35,plain,
    $false,
    inference(resolution,[],[f33,f8]) ).

tff(f8,plain,
    ! [X0: $rat] : ~ $less(X0,X0),
    introduced(theory_axiom_142,[]) ).

tff(f33,plain,
    ! [X0: $rat] : $less(-1/1,X0),
    inference(subsumption_resolution,[],[f32,f15]) ).

tff(f15,plain,
    ! [X0: $rat] : ~ $less(X0,0/1),
    inference(cnf_transformation,[],[f14]) ).

tff(f14,plain,
    ! [X0: $rat] : ~ $less(X0,0/1),
    inference(ennf_transformation,[],[f2]) ).

tff(f2,negated_conjecture,
    ~ ? [X0: $rat] : $less(X0,0/1),
    inference(negated_conjecture,[],[f1]) ).

tff(f1,conjecture,
    ? [X0: $rat] : $less(X0,0/1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rat_less_problem_11) ).

tff(f32,plain,
    ! [X0: $rat] :
      ( $less(X0,0/1)
      | $less(-1/1,X0) ),
    inference(evaluation,[],[f31]) ).

tff(f31,plain,
    ! [X0: $rat] :
      ( $less(X0,0/1)
      | $less($uminus(1/1),X0) ),
    inference(superposition,[],[f12,f16]) ).

tff(f16,plain,
    ! [X0: $rat] : ( 0/1 = $sum($uminus(X0),X0) ),
    inference(superposition,[],[f7,f13]) ).

tff(f13,plain,
    ! [X0: $rat] : ( $uminus($uminus(X0)) = X0 ),
    introduced(theory_axiom_148,[]) ).

tff(f7,plain,
    ! [X0: $rat] : ( 0/1 = $sum(X0,$uminus(X0)) ),
    introduced(theory_axiom_140,[]) ).

tff(f12,plain,
    ! [X0: $rat,X1: $rat] :
      ( $less(X1,$sum(X0,1/1))
      | $less(X0,X1) ),
    introduced(theory_axiom_147,[]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : ARI200_1 : TPTP v8.2.0. Released v5.0.0.
% 0.03/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35  % Computer : n016.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Sun May 19 13:26:53 EDT 2024
% 0.14/0.35  % CPUTime    : 
% 0.14/0.35  % (17665)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.37  % (17672)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.20/0.37  % (17672)First to succeed.
% 0.20/0.37  % (17672)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-17665"
% 0.20/0.37  % (17672)Refutation found. Thanks to Tanya!
% 0.20/0.37  % SZS status Theorem for theBenchmark
% 0.20/0.37  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.37  % (17672)------------------------------
% 0.20/0.37  % (17672)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.20/0.37  % (17672)Termination reason: Refutation
% 0.20/0.37  
% 0.20/0.37  % (17672)Memory used [KB]: 752
% 0.20/0.37  % (17672)Time elapsed: 0.003 s
% 0.20/0.37  % (17672)Instructions burned: 3 (million)
% 0.20/0.37  % (17665)Success in time 0.013 s
%------------------------------------------------------------------------------