%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : ARI193_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 : n001.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 15:47:36 EDT 2022

% Result   : Theorem 0.19s 0.50s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   11 (  10 unt;   0 typ;   0 def)
%            Number of atoms       :   12 (   3 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :    4 (   3   ~;   1   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number arithmetic     :   37 (   8 atm;   8 fun;  11 num;  10 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   :   10 (   8   !;   2   ?;  10   :)

% Comments : 
%------------------------------------------------------------------------------
tff(f46,plain,
    $false,
    inference(evaluation,[],[f44]) ).

tff(f44,plain,
    $less(9/16,0/1),
    inference(superposition,[],[f34,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_153,[]) ).

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

tff(f34,plain,
    ! [X0: $rat] : $less(9/16,$sum(X0,1/1)),
    inference(resolution,[],[f12,f15]) ).

tff(f15,plain,
    ! [X0: $rat] : ~ $less(X0,9/16),
    inference(cnf_transformation,[],[f14]) ).

tff(f14,plain,
    ! [X0: $rat] : ~ $less(X0,9/16),
    inference(ennf_transformation,[],[f2]) ).

tff(f2,negated_conjecture,
    ~ ? [X0: $rat] : $less(X0,9/16),
    inference(negated_conjecture,[],[f1]) ).

tff(f1,conjecture,
    ? [X0: $rat] : $less(X0,9/16),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rat_less_problem_4) ).

tff(f12,plain,
    ! [X0: $rat,X1: $rat] :
      ( $less(X0,X1)
      | $less(X1,$sum(X0,1/1)) ),
    introduced(theory_axiom_152,[]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11  % Problem    : ARI193=1 : TPTP v8.1.0. Released v5.0.0.
% 0.07/0.12  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.33  % Computer : n001.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 15:51:14 EDT 2022
% 0.12/0.33  % CPUTime    : 
% 0.19/0.49  % (9981)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 (3000ds/498Mi)
% 0.19/0.49  % (9973)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)
% 0.19/0.50  % (9981)First to succeed.
% 0.19/0.50  % (9968)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.19/0.50  % (9965)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)
% 0.19/0.50  % (9968)Also succeeded, but the first one will report.
% 0.19/0.50  % (9981)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  % (9981)------------------------------
% 0.19/0.50  % (9981)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50  % (9981)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50  % (9981)Termination reason: Refutation
% 0.19/0.50  
% 0.19/0.50  % (9981)Memory used [KB]: 895
% 0.19/0.50  % (9981)Time elapsed: 0.062 s
% 0.19/0.50  % (9981)Instructions burned: 2 (million)
% 0.19/0.50  % (9981)------------------------------
% 0.19/0.50  % (9981)------------------------------
% 0.19/0.50  % (9958)Success in time 0.161 s
%------------------------------------------------------------------------------