%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : GEO006-3 : 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_sat --cores 0 -t %d %s

% Computer : n012.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 16:11:26 EDT 2022

% Result   : Unsatisfiable 0.19s 0.51s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   20 (   8 unt;   0 def)
%            Number of atoms       :   34 (   5 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   30 (  16   ~;  12   |;   0   &)
%                                         (   2 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   3 prp; 0-3 aty)
%            Number of functors    :    3 (   3 usr;   3 con; 0-0 aty)
%            Number of variables   :    6 (   6   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f103,plain,
    $false,
    inference(avatar_sat_refutation,[],[f73,f99,f101]) ).

fof(f101,plain,
    ~ spl0_1,
    inference(avatar_split_clause,[],[f100,f66]) ).

fof(f66,plain,
    ( spl0_1
  <=> between(c,a,d) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f100,plain,
    ~ between(c,a,d),
    inference(subsumption_resolution,[],[f91,f50]) ).

fof(f50,axiom,
    a != c,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_not_c) ).

fof(f91,plain,
    ( a = c
    | ~ between(c,a,d) ),
    inference(resolution,[],[f48,f53]) ).

fof(f53,axiom,
    between(a,c,d),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c_between_a_and_d) ).

fof(f48,axiom,
    ! [X3,X10,X5] :
      ( ~ between(X10,X3,X5)
      | ~ between(X3,X10,X5)
      | X3 = X10 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b2) ).

fof(f99,plain,
    ~ spl0_2,
    inference(avatar_contradiction_clause,[],[f98]) ).

fof(f98,plain,
    ( $false
    | ~ spl0_2 ),
    inference(subsumption_resolution,[],[f97,f78]) ).

fof(f78,plain,
    between(d,c,a),
    inference(resolution,[],[f46,f53]) ).

fof(f46,axiom,
    ! [X3,X10,X5] :
      ( ~ between(X10,X3,X5)
      | between(X5,X3,X10) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1) ).

fof(f97,plain,
    ( ~ between(d,c,a)
    | ~ spl0_2 ),
    inference(subsumption_resolution,[],[f92,f52]) ).

fof(f52,axiom,
    c != d,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c_not_d) ).

fof(f92,plain,
    ( c = d
    | ~ between(d,c,a)
    | ~ spl0_2 ),
    inference(resolution,[],[f48,f77]) ).

fof(f77,plain,
    ( between(c,d,a)
    | ~ spl0_2 ),
    inference(resolution,[],[f46,f72]) ).

fof(f72,plain,
    ( between(a,d,c)
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f70]) ).

fof(f70,plain,
    ( spl0_2
  <=> between(a,d,c) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f73,plain,
    ( spl0_1
    | spl0_2 ),
    inference(avatar_split_clause,[],[f54,f70,f66]) ).

fof(f54,axiom,
    ( between(a,d,c)
    | between(c,a,d) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_not_between_others) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem    : GEO006-3 : TPTP v8.1.0. Released v1.0.0.
% 0.06/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34  % Computer : n012.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 20:55:36 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.19/0.50  % (5504)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.51  % (5514)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.19/0.51  % (5505)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.19/0.51  % (5504)First to succeed.
% 0.19/0.51  % (5504)Refutation found. Thanks to Tanya!
% 0.19/0.51  % SZS status Unsatisfiable for theBenchmark
% 0.19/0.51  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.51  % (5504)------------------------------
% 0.19/0.51  % (5504)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51  % (5504)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51  % (5504)Termination reason: Refutation
% 0.19/0.51  
% 0.19/0.51  % (5504)Memory used [KB]: 5500
% 0.19/0.51  % (5504)Time elapsed: 0.107 s
% 0.19/0.51  % (5504)Instructions burned: 6 (million)
% 0.19/0.51  % (5504)------------------------------
% 0.19/0.51  % (5504)------------------------------
% 0.19/0.51  % (5497)Success in time 0.162 s
%------------------------------------------------------------------------------