%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : GEO036-2 : 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_sat --cores 0 -t %d %s

% Computer : n008.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 0.21s 0.50s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   26 (  11 unt;   0 def)
%            Number of atoms       :   43 (  11 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   36 (  19   ~;  14   |;   0   &)
%                                         (   3 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    7 (   5 usr;   4 prp; 0-4 aty)
%            Number of functors    :    4 (   4 usr;   3 con; 0-4 aty)
%            Number of variables   :   16 (  16   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f57,plain,
    $false,
    inference(avatar_sat_refutation,[],[f32,f42,f45,f56]) ).

fof(f56,plain,
    ~ spl0_1,
    inference(avatar_contradiction_clause,[],[f55]) ).

fof(f55,plain,
    ( $false
    | ~ spl0_1 ),
    inference(subsumption_resolution,[],[f54,f39]) ).

fof(f39,plain,
    ! [X3,X4] : between(X3,X4,X4),
    inference(superposition,[],[f4,f37]) ).

fof(f37,plain,
    ! [X2,X0,X1] : extension(X1,X0,X2,X2) = X0,
    inference(resolution,[],[f5,f3]) ).

fof(f3,axiom,
    ! [X2,X0,X1] :
      ( ~ equidistant(X0,X1,X2,X2)
      | X0 = X1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',identity_for_equidistance) ).

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

fof(f4,axiom,
    ! [X3,X0,X1,X5] : between(X0,X1,extension(X0,X1,X5,X3)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',segment_construction1) ).

fof(f54,plain,
    ( ~ between(lower_dimension_point_2,lower_dimension_point_1,lower_dimension_point_1)
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f11,f23]) ).

fof(f23,plain,
    ( lower_dimension_point_1 = lower_dimension_point_3
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f21]) ).

fof(f21,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/sandbox2/benchmark/theBenchmark.p',lower_dimension2) ).

fof(f45,plain,
    ~ spl0_3,
    inference(avatar_contradiction_clause,[],[f44]) ).

fof(f44,plain,
    ( $false
    | ~ spl0_3 ),
    inference(subsumption_resolution,[],[f43,f39]) ).

fof(f43,plain,
    ( ~ between(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_1)
    | ~ spl0_3 ),
    inference(backward_demodulation,[],[f12,f31]) ).

fof(f31,plain,
    ( lower_dimension_point_1 = lower_dimension_point_2
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f29]) ).

fof(f29,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/sandbox2/benchmark/theBenchmark.p',lower_dimension3) ).

fof(f42,plain,
    ~ spl0_2,
    inference(avatar_contradiction_clause,[],[f40]) ).

fof(f40,plain,
    ( $false
    | ~ spl0_2 ),
    inference(resolution,[],[f39,f34]) ).

fof(f34,plain,
    ( ~ between(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_2)
    | ~ spl0_2 ),
    inference(backward_demodulation,[],[f10,f27]) ).

fof(f27,plain,
    ( lower_dimension_point_2 = lower_dimension_point_3
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f25]) ).

fof(f25,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/sandbox2/benchmark/theBenchmark.p',lower_dimension1) ).

fof(f32,plain,
    ( spl0_1
    | spl0_2
    | spl0_3 ),
    inference(avatar_split_clause,[],[f19,f29,f25,f21]) ).

fof(f19,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/sandbox2/benchmark/theBenchmark.p',prove_axioms_points_are_distinct) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem    : GEO036-2 : 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
% 0.14/0.34  % Computer : n008.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 21:04:25 EDT 2022
% 0.14/0.34  % CPUTime    : 
% 0.21/0.50  % (5032)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.21/0.50  % (5023)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.50  % (5023)First to succeed.
% 0.21/0.50  % (5023)Refutation found. Thanks to Tanya!
% 0.21/0.50  % SZS status Unsatisfiable for theBenchmark
% 0.21/0.50  % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.50  % (5023)------------------------------
% 0.21/0.50  % (5023)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.50  % (5023)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.50  % (5023)Termination reason: Refutation
% 0.21/0.50  
% 0.21/0.50  % (5023)Memory used [KB]: 5373
% 0.21/0.50  % (5023)Time elapsed: 0.102 s
% 0.21/0.50  % (5023)Instructions burned: 2 (million)
% 0.21/0.50  % (5023)------------------------------
% 0.21/0.50  % (5023)------------------------------
% 0.21/0.50  % (5016)Success in time 0.15 s
%------------------------------------------------------------------------------