TSTP Solution File: GEO036-3 by SnakeForV-SAT---1.0

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%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : GEO036-3 : 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 : n022.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 16:11:37 EDT 2022

% Result   : Unsatisfiable 0.20s 0.50s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   22 (   8 unt;   0 def)
%            Number of atoms       :   38 (   9 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   34 (  18   ~;  13   |;   0   &)
%                                         (   3 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    3 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   4 prp; 0-3 aty)
%            Number of functors    :    3 (   3 usr;   3 con; 0-0 aty)
%            Number of variables   :    2 (   2   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f98,plain,
    $false,
    inference(avatar_sat_refutation,[],[f81,f86,f91,f97]) ).

fof(f97,plain,
    ~ spl0_1,
    inference(avatar_contradiction_clause,[],[f96]) ).

fof(f96,plain,
    ( $false
    | ~ spl0_1 ),
    inference(subsumption_resolution,[],[f95,f44]) ).

fof(f44,axiom,
    ! [X3,X10] : between(X10,X3,X3),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t3) ).

fof(f95,plain,
    ( ~ between(lower_dimension_point_2,lower_dimension_point_1,lower_dimension_point_1)
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f11,f72]) ).

fof(f72,plain,
    ( lower_dimension_point_1 = lower_dimension_point_3
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f70]) ).

fof(f70,plain,
    ( spl0_1
  <=> lower_dimension_point_1 = lower_dimension_point_3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f11,axiom,
    ~ between(lower_dimension_point_2,lower_dimension_point_3,lower_dimension_point_1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',lower_dimension2) ).

fof(f91,plain,
    ~ spl0_3,
    inference(avatar_contradiction_clause,[],[f90]) ).

fof(f90,plain,
    ( $false
    | ~ spl0_3 ),
    inference(subsumption_resolution,[],[f89,f44]) ).

fof(f89,plain,
    ( ~ between(lower_dimension_point_3,lower_dimension_point_2,lower_dimension_point_2)
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f12,f80]) ).

fof(f80,plain,
    ( lower_dimension_point_1 = lower_dimension_point_2
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f78]) ).

fof(f78,plain,
    ( spl0_3
  <=> lower_dimension_point_1 = lower_dimension_point_2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f12,axiom,
    ~ between(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',lower_dimension3) ).

fof(f86,plain,
    ~ spl0_2,
    inference(avatar_contradiction_clause,[],[f85]) ).

fof(f85,plain,
    ( $false
    | ~ spl0_2 ),
    inference(resolution,[],[f44,f82]) ).

fof(f82,plain,
    ( ~ between(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_2)
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f10,f76]) ).

fof(f76,plain,
    ( lower_dimension_point_2 = lower_dimension_point_3
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f74]) ).

fof(f74,plain,
    ( spl0_2
  <=> lower_dimension_point_2 = lower_dimension_point_3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f10,axiom,
    ~ between(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',lower_dimension1) ).

fof(f81,plain,
    ( spl0_1
    | spl0_2
    | spl0_3 ),
    inference(avatar_split_clause,[],[f58,f78,f74,f70]) ).

fof(f58,axiom,
    ( lower_dimension_point_1 = lower_dimension_point_2
    | lower_dimension_point_2 = lower_dimension_point_3
    | lower_dimension_point_1 = lower_dimension_point_3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_axioms_points_are_distinct) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : GEO036-3 : TPTP v8.1.0. Released v1.0.0.
% 0.11/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.34  % Computer : n022.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 21:01:41 EDT 2022
% 0.14/0.34  % CPUTime    : 
% 0.20/0.49  % (23951)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.20/0.49  % (23958)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.50  % (23958)First to succeed.
% 0.20/0.50  % (23966)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.20/0.50  % (23958)Refutation found. Thanks to Tanya!
% 0.20/0.50  % SZS status Unsatisfiable for theBenchmark
% 0.20/0.50  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.50  % (23958)------------------------------
% 0.20/0.50  % (23958)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.50  % (23958)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.50  % (23958)Termination reason: Refutation
% 0.20/0.50  
% 0.20/0.50  % (23958)Memory used [KB]: 5373
% 0.20/0.50  % (23958)Time elapsed: 0.094 s
% 0.20/0.50  % (23958)Instructions burned: 3 (million)
% 0.20/0.50  % (23958)------------------------------
% 0.20/0.50  % (23958)------------------------------
% 0.20/0.50  % (23950)Success in time 0.156 s
%------------------------------------------------------------------------------