TSTP Solution File: GEO055-2 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : GEO055-2 : TPTP v8.1.0. Released v1.0.0.
% 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 16:07:52 EDT 2022

% Result   : Unsatisfiable 0.19s 0.47s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    4
% Syntax   : Number of formulae    :    6 (   5 unt;   1 typ;   0 def)
%            Number of atoms       :   22 (   1 equ)
%            Maximal formula atoms :    1 (   4 avg)
%            Number of connectives :    2 (   2   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of FOOLs       :   17 (  17 fml;   0 var)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    2 (   1   >;   1   *;   0   +;   0  <<)
%            Number of predicates  :    8 (   6 usr;   3 prp; 0-4 aty)
%            Number of functors    :    0 (   0 usr;   0 con; --- aty)
%            Number of variables   :    7 (   6   !;   0   ?;   7   :)
%                                         (   1  !>;   0  ?*;   0  @-;   0  @+)

% Comments : 
%------------------------------------------------------------------------------
tff(pred_def_3,type,
    sQ0_eqProxy: 
      !>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).

tff(f33,plain,
    $false,
    inference(subsumption_resolution,[],[f21,f5]) ).

tff(f5,axiom,
    ! [X3: $i,X0: $i,X1: $i,X5: $i] : equidistant(X1,extension(X0,X1,X5,X3),X5,X3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',segment_construction2) ).

tff(f21,plain,
    ~ equidistant(v,extension(u,v,u,v),u,v),
    inference(definition_unfolding,[],[f20,f19]) ).

tff(f19,axiom,
    ! [X3: $i,X10: $i] : ( reflection(X10,X3) = extension(X10,X3,X10,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflection) ).

tff(f20,axiom,
    ~ equidistant(v,reflection(u,v),u,v),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_equidistance) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : GEO055-2 : TPTP v8.1.0. Released v1.0.0.
% 0.00/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.34  % Computer : n017.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit   : 300
% 0.14/0.34  % WCLimit    : 300
% 0.14/0.34  % DateTime   : Mon Aug 29 20:27:05 EDT 2022
% 0.14/0.34  % CPUTime    : 
% 0.19/0.45  % (17736)lrs+1011_1:1_atotf=0.0306256:ep=RST:mep=off:nm=0:sos=all:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.47  % (17729)dis+21_1:1_av=off:fd=off:lcm=predicate:sos=on:spb=goal:urr=ec_only:i=42:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/42Mi)
% 0.19/0.47  % (17736)First to succeed.
% 0.19/0.47  % (17736)Refutation found. Thanks to Tanya!
% 0.19/0.47  % SZS status Unsatisfiable for theBenchmark
% 0.19/0.47  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.47  % (17736)------------------------------
% 0.19/0.47  % (17736)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.47  % (17736)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.47  % (17736)Termination reason: Refutation
% 0.19/0.47  
% 0.19/0.47  % (17736)Memory used [KB]: 5884
% 0.19/0.47  % (17736)Time elapsed: 0.003 s
% 0.19/0.47  % (17736)Instructions burned: 2 (million)
% 0.19/0.47  % (17736)------------------------------
% 0.19/0.47  % (17736)------------------------------
% 0.19/0.47  % (17723)Success in time 0.125 s
%------------------------------------------------------------------------------