%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : ARI339_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_sat --cores 0 -t %d %s

% Computer : n023.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 15:47:57 EDT 2022

% Result   : Theorem 0.18s 0.49s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   16 (   7 unt;   4 typ;   0 def)
%            Number of atoms       :   19 (   9 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   15 (   8   ~;   0   |;   4   &)
%                                         (   0 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number arithmetic     :   48 (   9 atm;   8 fun;  27 num;   4 var)
%            Number of types       :    4 (   0 usr;   3 ari)
%            Number of type conns  :    6 (   3   >;   3   *;   0   +;   0  <<)
%            Number of predicates  :    6 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   1 usr;   5 con; 0-2 aty)
%            Number of variables   :    4 (   2   !;   2   ?;   4   :)

% Comments : 
%------------------------------------------------------------------------------
tff(func_def_7,type,
    sK0: $rat ).

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

tff(pred_def_3,type,
    sQ2_eqProxy: ( $int * $int ) > $o ).

tff(pred_def_4,type,
    sQ3_eqProxy: ( $real * $real ) > $o ).

tff(f65,plain,
    $false,
    inference(evaluation,[],[f63]) ).

tff(f63,plain,
    ~ $less(61/10,7/1),
    inference(backward_demodulation,[],[f24,f62]) ).

tff(f62,plain,
    61/10 = sK0,
    inference(evaluation,[],[f23]) ).

tff(f23,plain,
    $sum(12/5,37/10) = sK0,
    inference(literal_reordering,[],[f17]) ).

tff(f17,plain,
    $sum(12/5,37/10) = sK0,
    inference(cnf_transformation,[],[f16]) ).

tff(f16,plain,
    ( ~ $less(sK0,7/1)
    & ( $sum(12/5,37/10) = sK0 ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f14,f15]) ).

tff(f15,plain,
    ( ? [X0: $rat] :
        ( ~ $less(X0,7/1)
        & ( $sum(12/5,37/10) = X0 ) )
   => ( ~ $less(sK0,7/1)
      & ( $sum(12/5,37/10) = sK0 ) ) ),
    introduced(choice_axiom,[]) ).

tff(f14,plain,
    ? [X0: $rat] :
      ( ~ $less(X0,7/1)
      & ( $sum(12/5,37/10) = X0 ) ),
    inference(ennf_transformation,[],[f2]) ).

tff(f2,negated_conjecture,
    ~ ! [X0: $rat] :
        ( ( $sum(12/5,37/10) = X0 )
       => $less(X0,7/1) ),
    inference(negated_conjecture,[],[f1]) ).

tff(f1,conjecture,
    ! [X0: $rat] :
      ( ( $sum(12/5,37/10) = X0 )
     => $less(X0,7/1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rat_combined_problem_5) ).

tff(f24,plain,
    ~ $less(sK0,7/1),
    inference(literal_reordering,[],[f18]) ).

tff(f18,plain,
    ~ $less(sK0,7/1),
    inference(cnf_transformation,[],[f16]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.11  % Problem    : ARI339=1 : TPTP v8.1.0. Released v5.0.0.
% 0.09/0.12  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.32  % Computer : n023.cluster.edu
% 0.12/0.32  % Model    : x86_64 x86_64
% 0.12/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32  % Memory   : 8042.1875MB
% 0.12/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32  % CPULimit   : 300
% 0.12/0.32  % WCLimit    : 300
% 0.12/0.32  % DateTime   : Mon Aug 29 15:56:05 EDT 2022
% 0.12/0.32  % CPUTime    : 
% 0.18/0.47  % (13770)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 (3000ds/68Mi)
% 0.18/0.48  % (13761)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.18/0.48  % (13770)First to succeed.
% 0.18/0.49  % (13770)Refutation found. Thanks to Tanya!
% 0.18/0.49  % SZS status Theorem for theBenchmark
% 0.18/0.49  % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.49  % (13770)------------------------------
% 0.18/0.49  % (13770)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.49  % (13770)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.49  % (13770)Termination reason: Refutation
% 0.18/0.49  
% 0.18/0.49  % (13770)Memory used [KB]: 5628
% 0.18/0.49  % (13770)Time elapsed: 0.007 s
% 0.18/0.49  % (13770)Instructions burned: 4 (million)
% 0.18/0.49  % (13770)------------------------------
% 0.18/0.49  % (13770)------------------------------
% 0.18/0.49  % (13754)Success in time 0.155 s
%------------------------------------------------------------------------------