%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : DAT063_1 : TPTP v8.1.0. Released v5.5.0.
% 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 : n019.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 16:04:03 EDT 2022

% Result   : Theorem 0.19s 0.46s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   19 (   5 unt;   8 typ;   0 def)
%            Number of atoms       :   19 (   0 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   17 (   9   ~;   0   |;   4   &)
%                                         (   0 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number arithmetic     :    7 (   7 atm;   0 fun;   0 num;   0 var)
%            Number of types       :    3 (   1 usr;   1 ari)
%            Number of type conns  :    7 (   5   >;   2   *;   0   +;   0  <<)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   2 con; 0-2 aty)
%            Number of variables   :    8 (   6   !;   2   ?;   8   :)

% Comments : 
%------------------------------------------------------------------------------
tff(type_def_5,type,
    heap: $tType ).

tff(func_def_0,type,
    empty: heap ).

tff(func_def_1,type,
    get: heap > heap ).

tff(func_def_2,type,
    app: ( heap * $int ) > heap ).

tff(func_def_3,type,
    toop: heap > $int ).

tff(func_def_4,type,
    length: heap > $int ).

tff(func_def_9,type,
    sK0: heap ).

tff(pred_def_1,type,
    lsls: ( heap * heap ) > $o ).

tff(f67,plain,
    $false,
    inference(subsumption_resolution,[],[f49,f59]) ).

tff(f59,plain,
    ! [X0: heap] : ~ lsls(X0,empty),
    inference(cnf_transformation,[],[f35]) ).

tff(f35,plain,
    ! [X0: heap] : ~ lsls(X0,empty),
    inference(rectify,[],[f10]) ).

tff(f10,axiom,
    ! [X1: heap] : ~ lsls(X1,empty),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_26) ).

tff(f49,plain,
    lsls(sK0,empty),
    inference(cnf_transformation,[],[f40]) ).

tff(f40,plain,
    ( ~ $less(length(sK0),length(empty))
    & lsls(sK0,empty) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f38,f39]) ).

tff(f39,plain,
    ( ? [X0: heap] :
        ( ~ $less(length(X0),length(empty))
        & lsls(X0,empty) )
   => ( ~ $less(length(sK0),length(empty))
      & lsls(sK0,empty) ) ),
    introduced(choice_axiom,[]) ).

tff(f38,plain,
    ? [X0: heap] :
      ( ~ $less(length(X0),length(empty))
      & lsls(X0,empty) ),
    inference(ennf_transformation,[],[f26]) ).

tff(f26,plain,
    ~ ! [X0: heap] :
        ( lsls(X0,empty)
       => $less(length(X0),length(empty)) ),
    inference(rectify,[],[f13]) ).

tff(f13,negated_conjecture,
    ~ ! [X1: heap] :
        ( lsls(X1,empty)
       => $less(length(X1),length(empty)) ),
    inference(negated_conjecture,[],[f12]) ).

tff(f12,conjecture,
    ! [X1: heap] :
      ( lsls(X1,empty)
     => $less(length(X1),length(empty)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',th_lem_1b) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : DAT063=1 : TPTP v8.1.0. Released v5.5.0.
% 0.03/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34  % Computer : n019.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Mon Aug 29 21:17:05 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.19/0.45  % (31246)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.45  % (31246)First to succeed.
% 0.19/0.46  % (31246)Refutation found. Thanks to Tanya!
% 0.19/0.46  % SZS status Theorem for theBenchmark
% 0.19/0.46  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.46  % (31246)------------------------------
% 0.19/0.46  % (31246)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.46  % (31246)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.46  % (31246)Termination reason: Refutation
% 0.19/0.46  
% 0.19/0.46  % (31246)Memory used [KB]: 5500
% 0.19/0.46  % (31246)Time elapsed: 0.004 s
% 0.19/0.46  % (31246)Instructions burned: 1 (million)
% 0.19/0.46  % (31246)------------------------------
% 0.19/0.46  % (31246)------------------------------
% 0.19/0.46  % (31239)Success in time 0.106 s
%------------------------------------------------------------------------------