%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : ARI258_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 : 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 15:45:45 EDT 2022

% Result   : Theorem 0.18s 0.47s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   16 (  10 unt;   1 typ;   0 def)
%            Number of atoms       :   22 (  21 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   13 (   6   ~;   0   |;   4   &)
%                                         (   0 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   2 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number arithmetic     :   62 (   0 atm;  21 fun;  31 num;  10 var)
%            Number of types       :    1 (   0 usr;   1 ari)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   1 usr;   5 con; 0-2 aty)
%            Number of variables   :   10 (   8   !;   2   ?;  10   :)

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

tff(f42,plain,
    $false,
    inference(subsumption_resolution,[],[f38,f18]) ).

tff(f18,plain,
    17/4 != sK0,
    inference(cnf_transformation,[],[f16]) ).

tff(f16,plain,
    ( ( 17/4 != sK0 )
    & ( 10/1 = $sum(sK0,23/4) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f14,f15]) ).

tff(f15,plain,
    ( ? [X0: $rat] :
        ( ( 17/4 != X0 )
        & ( $sum(X0,23/4) = 10/1 ) )
   => ( ( 17/4 != sK0 )
      & ( 10/1 = $sum(sK0,23/4) ) ) ),
    introduced(choice_axiom,[]) ).

tff(f14,plain,
    ? [X0: $rat] :
      ( ( 17/4 != X0 )
      & ( $sum(X0,23/4) = 10/1 ) ),
    inference(ennf_transformation,[],[f2]) ).

tff(f2,negated_conjecture,
    ~ ! [X0: $rat] :
        ( ( $sum(X0,23/4) = 10/1 )
       => ( 17/4 = X0 ) ),
    inference(negated_conjecture,[],[f1]) ).

tff(f1,conjecture,
    ! [X0: $rat] :
      ( ( $sum(X0,23/4) = 10/1 )
     => ( 17/4 = X0 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rat_sum_problem_13) ).

tff(f38,plain,
    17/4 = sK0,
    inference(superposition,[],[f5,f31]) ).

tff(f31,plain,
    17/4 = $sum(sK0,0/1),
    inference(evaluation,[],[f28]) ).

tff(f28,plain,
    $sum(10/1,$uminus(23/4)) = $sum(sK0,0/1),
    inference(superposition,[],[f23,f7]) ).

tff(f7,plain,
    ! [X0: $rat] : ( $sum(X0,$uminus(X0)) = 0/1 ),
    introduced(theory_axiom_145,[]) ).

tff(f23,plain,
    ! [X0: $rat] : ( $sum(10/1,X0) = $sum(sK0,$sum(23/4,X0)) ),
    inference(superposition,[],[f4,f17]) ).

tff(f17,plain,
    10/1 = $sum(sK0,23/4),
    inference(cnf_transformation,[],[f16]) ).

tff(f4,plain,
    ! [X2: $rat,X0: $rat,X1: $rat] : ( $sum(X0,$sum(X1,X2)) = $sum($sum(X0,X1),X2) ),
    introduced(theory_axiom_141,[]) ).

tff(f5,plain,
    ! [X0: $rat] : ( $sum(X0,0/1) = X0 ),
    introduced(theory_axiom_142,[]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem    : ARI258=1 : TPTP v8.1.0. Released v5.0.0.
% 0.00/0.12  % 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 : n017.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   : Mon Aug 29 15:03:04 EDT 2022
% 0.12/0.33  % CPUTime    : 
% 0.18/0.44  % (6393)dis+1010_1:4_aac=none:abs=on:atotf=0.5:avsq=on:avsqc=2:avsqr=215,247:awrs=converge:awrsf=128:bsd=on:erd=off:fde=none:gve=cautious:newcnf=on:nwc=5.0:rnwc=on:sac=on:sas=z3:sp=const_min:tgt=ground:thsq=on:thsqc=64:thsqr=1,4:i=59848:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/59848Mi)
% 0.18/0.46  % (6416)dis+32_1:1_bd=off:nm=4:sos=on:ss=included:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/50Mi)
% 0.18/0.46  % (6416)First to succeed.
% 0.18/0.47  % (6416)Refutation found. Thanks to Tanya!
% 0.18/0.47  % SZS status Theorem for theBenchmark
% 0.18/0.47  % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.47  % (6416)------------------------------
% 0.18/0.47  % (6416)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.47  % (6416)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.47  % (6416)Termination reason: Refutation
% 0.18/0.47  
% 0.18/0.47  % (6416)Memory used [KB]: 5500
% 0.18/0.47  % (6416)Time elapsed: 0.073 s
% 0.18/0.47  % (6416)Instructions burned: 2 (million)
% 0.18/0.47  % (6416)------------------------------
% 0.18/0.47  % (6416)------------------------------
% 0.18/0.47  % (6392)Success in time 0.127 s
%------------------------------------------------------------------------------