%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : GEO064-3 : TPTP v8.1.0. Bugfixed v1.2.1.
% 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 : n014.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 16:07:56 EDT 2022

% Result   : Unsatisfiable 0.20s 0.53s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   18 (   5 unt;   0 def)
%            Number of atoms       :   32 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   26 (  12   ~;  11   |;   0   &)
%                                         (   3 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    6 (   5 usr;   4 prp; 0-3 aty)
%            Number of functors    :    3 (   3 usr;   3 con; 0-0 aty)
%            Number of variables   :    6 (   6   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f145,plain,
    $false,
    inference(avatar_sat_refutation,[],[f94,f99,f129,f144]) ).

fof(f144,plain,
    ( spl0_1
    | ~ spl0_6 ),
    inference(avatar_contradiction_clause,[],[f143]) ).

fof(f143,plain,
    ( $false
    | spl0_1
    | ~ spl0_6 ),
    inference(subsumption_resolution,[],[f133,f93]) ).

fof(f93,plain,
    ( ~ colinear(u,v,w)
    | spl0_1 ),
    inference(avatar_component_clause,[],[f91]) ).

fof(f91,plain,
    ( spl0_1
  <=> colinear(u,v,w) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f133,plain,
    ( colinear(u,v,w)
    | ~ spl0_6 ),
    inference(resolution,[],[f128,f19]) ).

fof(f19,axiom,
    ! [X2,X0,X1] :
      ( ~ between(X0,X1,X2)
      | colinear(X0,X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',colinearity1) ).

fof(f128,plain,
    ( between(u,v,w)
    | ~ spl0_6 ),
    inference(avatar_component_clause,[],[f126]) ).

fof(f126,plain,
    ( spl0_6
  <=> between(u,v,w) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f129,plain,
    ( spl0_6
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f103,f96,f126]) ).

fof(f96,plain,
    ( spl0_2
  <=> between(w,v,u) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f103,plain,
    ( between(u,v,w)
    | ~ spl0_2 ),
    inference(resolution,[],[f98,f51]) ).

fof(f51,axiom,
    ! [X3,X10,X5] :
      ( ~ between(X10,X3,X5)
      | between(X5,X3,X10) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1) ).

fof(f98,plain,
    ( between(w,v,u)
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f96]) ).

fof(f99,plain,
    spl0_2,
    inference(avatar_split_clause,[],[f88,f96]) ).

fof(f88,axiom,
    between(w,v,u),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',v_between_w_and_u) ).

fof(f94,plain,
    ~ spl0_1,
    inference(avatar_split_clause,[],[f89,f91]) ).

fof(f89,axiom,
    ~ colinear(u,v,w),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_uvw_colinear) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem    : GEO064-3 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.12/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.35  % Computer : n014.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Mon Aug 29 21:06:18 EDT 2022
% 0.13/0.35  % CPUTime    : 
% 0.20/0.52  % (8083)lrs+1010_1:16_acc=on:anc=all:avsq=on:awrs=converge:s2a=on:sac=on:sos=on:ss=axioms:i=81:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/81Mi)
% 0.20/0.53  % (8083)First to succeed.
% 0.20/0.53  % (8081)lrs+1011_1:1_aac=none:bsr=unit_only:ep=R:sac=on:sos=all:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.20/0.53  % (8083)Refutation found. Thanks to Tanya!
% 0.20/0.53  % SZS status Unsatisfiable for theBenchmark
% 0.20/0.53  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.53  % (8083)------------------------------
% 0.20/0.53  % (8083)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53  % (8083)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53  % (8083)Termination reason: Refutation
% 0.20/0.53  
% 0.20/0.53  % (8083)Memory used [KB]: 5884
% 0.20/0.53  % (8083)Time elapsed: 0.074 s
% 0.20/0.53  % (8083)Instructions burned: 3 (million)
% 0.20/0.53  % (8083)------------------------------
% 0.20/0.53  % (8083)------------------------------
% 0.20/0.53  % (8057)Success in time 0.168 s
%------------------------------------------------------------------------------