%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : ARI195_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 : n009.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      :    7
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   10 (   9 unt;   0 typ;   0 def)
%            Number of atoms       :   11 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :    7 (   6   ~;   1   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number arithmetic     :   29 (  10 atm;   1 fun;   1 num;  17 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    :    2 (   0 usr;   1 con; 0-2 aty)
%            Number of variables   :   17 (  11   !;   6   ?;  17   :)

% Comments : 
%------------------------------------------------------------------------------
tff(f63,plain,
    $false,
    inference(resolution,[],[f42,f8]) ).

tff(f8,plain,
    ! [X0: $rat] : ~ $less(X0,X0),
    introduced(theory_axiom_147,[]) ).

tff(f42,plain,
    ! [X3: $rat,X4: $rat] : $less(X3,X4),
    inference(resolution,[],[f12,f17]) ).

tff(f17,plain,
    ! [X0: $rat,X1: $rat] : ~ $less(X0,X1),
    inference(cnf_transformation,[],[f16]) ).

tff(f16,plain,
    ! [X0: $rat,X1: $rat] : ~ $less(X0,X1),
    inference(rectify,[],[f15]) ).

tff(f15,plain,
    ! [X1: $rat,X0: $rat] : ~ $less(X1,X0),
    inference(ennf_transformation,[],[f14]) ).

tff(f14,plain,
    ~ ? [X1: $rat,X0: $rat] : $less(X1,X0),
    inference(rectify,[],[f2]) ).

tff(f2,negated_conjecture,
    ~ ? [X1: $rat,X0: $rat] : $less(X0,X1),
    inference(negated_conjecture,[],[f1]) ).

tff(f1,conjecture,
    ? [X1: $rat,X0: $rat] : $less(X0,X1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rat_less_problem_6) ).

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem    : ARI195=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_sat --cores 0 -t %d %s
% 0.12/0.33  % Computer : n009.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 15:24:05 EDT 2022
% 0.12/0.33  % CPUTime    : 
% 0.19/0.48  % (29993)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/355Mi)
% 0.19/0.49  % (29974)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/50Mi)
% 0.19/0.49  % (29985)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/138Mi)
% 0.19/0.49  % (29977)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/99Mi)
% 0.19/0.49  % (29993)First to succeed.
% 0.19/0.50  % (29993)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  % (29993)------------------------------
% 0.19/0.50  % (29993)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50  % (29993)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50  % (29993)Termination reason: Refutation
% 0.19/0.50  
% 0.19/0.50  % (29993)Memory used [KB]: 5373
% 0.19/0.50  % (29993)Time elapsed: 0.113 s
% 0.19/0.50  % (29993)Instructions burned: 3 (million)
% 0.19/0.50  % (29993)------------------------------
% 0.19/0.50  % (29993)------------------------------
% 0.19/0.50  % (29963)Success in time 0.158 s
%------------------------------------------------------------------------------