TSTP Solution File: GEO003-1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : GEO003-1 : TPTP v8.1.0. Bugfixed v2.5.0.
% 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 : n024.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 16:07:24 EDT 2022

% Result   : Unsatisfiable 0.19s 0.57s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    4
% Syntax   : Number of formulae    :    7 (   6 unt;   0 def)
%            Number of atoms       :    8 (   2 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :    3 (   2   ~;   1   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-4 aty)
%            Number of functors    :    3 (   3 usr;   2 con; 0-4 aty)
%            Number of variables   :   16 (  16   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f33,plain,
    $false,
    inference(resolution,[],[f25,f21]) ).

fof(f21,axiom,
    ~ between(a,b,b),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_b_between_a_and_b) ).

fof(f25,plain,
    ! [X3,X4] : between(X3,X4,X4),
    inference(superposition,[],[f13,f23]) ).

fof(f23,plain,
    ! [X2,X0,X1] : extension(X1,X0,X2,X2) = X0,
    inference(resolution,[],[f14,f5]) ).

fof(f5,axiom,
    ! [X3,X0,X1] :
      ( ~ equidistant(X0,X1,X3,X3)
      | X0 = X1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',identity_for_equidistance) ).

fof(f14,axiom,
    ! [X2,X0,X1,X5] : equidistant(X1,extension(X0,X1,X5,X2),X5,X2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',segment_construction2) ).

fof(f13,axiom,
    ! [X2,X0,X1,X5] : between(X0,X1,extension(X0,X1,X5,X2)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',segment_construction1) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13  % Problem    : GEO003-1 : TPTP v8.1.0. Bugfixed v2.5.0.
% 0.11/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.35  % Computer : n024.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Mon Aug 29 20:57:49 EDT 2022
% 0.14/0.35  % CPUTime    : 
% 0.19/0.55  % (28591)dis+10_1:1_add=large:alpa=false:anc=none:fd=off:lcm=reverse:nwc=5.0:sd=2:sgt=20:ss=included:i=46:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/46Mi)
% 0.19/0.56  % (28577)lrs+1004_1:734_av=off:awrs=converge:awrsf=70:br=off:ep=RSTC:erd=off:gs=on:nwc=3.0:s2a=on:s2agt=16:sp=occurrence:updr=off:urr=on:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.19/0.56  % (28583)lrs+1_1:1_aac=none:add=large:anc=all_dependent:cond=fast:ep=RST:fsr=off:lma=on:nm=2:sos=on:sp=reverse_arity:stl=30:uhcvi=on:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.57  % (28591)First to succeed.
% 0.19/0.57  % (28591)Refutation found. Thanks to Tanya!
% 0.19/0.57  % SZS status Unsatisfiable for theBenchmark
% 0.19/0.57  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.57  % (28591)------------------------------
% 0.19/0.57  % (28591)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.57  % (28591)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.57  % (28591)Termination reason: Refutation
% 0.19/0.57  
% 0.19/0.57  % (28591)Memory used [KB]: 5884
% 0.19/0.57  % (28591)Time elapsed: 0.138 s
% 0.19/0.57  % (28591)Instructions burned: 2 (million)
% 0.19/0.57  % (28591)------------------------------
% 0.19/0.57  % (28591)------------------------------
% 0.19/0.57  % (28566)Success in time 0.214 s
%------------------------------------------------------------------------------