TSTP Solution File: GEO008-3 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : GEO008-3 : 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 : n003.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 16:07:28 EDT 2022

% Result   : Unsatisfiable 0.19s 0.52s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   29 (   8 unt;   0 def)
%            Number of atoms       :   57 (   0 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   53 (  25   ~;  26   |;   0   &)
%                                         (   2 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   3 prp; 0-3 aty)
%            Number of functors    :    5 (   5 usr;   5 con; 0-0 aty)
%            Number of variables   :   20 (  20   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f393,plain,
    $false,
    inference(avatar_sat_refutation,[],[f285,f313,f392]) ).

fof(f392,plain,
    ~ spl0_1,
    inference(avatar_contradiction_clause,[],[f391]) ).

fof(f391,plain,
    ( $false
    | ~ spl0_1 ),
    inference(subsumption_resolution,[],[f383,f85]) ).

fof(f85,axiom,
    ~ between(a,b,e),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_betweenness) ).

fof(f383,plain,
    ( between(a,b,e)
    | ~ spl0_1 ),
    inference(resolution,[],[f380,f107]) ).

fof(f107,plain,
    ! [X7] :
      ( ~ between(a,X7,d)
      | between(a,X7,e) ),
    inference(resolution,[],[f58,f83]) ).

fof(f83,axiom,
    between(a,d,e),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d_between_a_and_e) ).

fof(f58,axiom,
    ! [X3,X10,X0,X5] :
      ( ~ between(X10,X5,X0)
      | ~ between(X10,X3,X5)
      | between(X10,X3,X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',b9) ).

fof(f380,plain,
    ( between(a,b,d)
    | ~ spl0_1 ),
    inference(resolution,[],[f322,f84]) ).

fof(f84,axiom,
    between(c,b,d),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_between_c_and_d) ).

fof(f322,plain,
    ( ! [X3] :
        ( ~ between(c,X3,d)
        | between(a,X3,d) )
    | ~ spl0_1 ),
    inference(resolution,[],[f166,f57]) ).

fof(f57,axiom,
    ! [X3,X10,X0,X5] :
      ( ~ between(X10,X3,X0)
      | ~ between(X3,X5,X0)
      | between(X10,X5,X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',b8) ).

fof(f166,plain,
    ( between(a,c,d)
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f164]) ).

fof(f164,plain,
    ( spl0_1
  <=> between(a,c,d) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f313,plain,
    ( spl0_1
    | spl0_2 ),
    inference(avatar_split_clause,[],[f172,f168,f164]) ).

fof(f168,plain,
    ( spl0_2
  <=> between(a,d,c) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f172,plain,
    ( between(a,d,c)
    | between(a,c,d) ),
    inference(resolution,[],[f117,f82]) ).

fof(f82,axiom,
    between(a,c,e),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c_between_a_and_e) ).

fof(f117,plain,
    ! [X7] :
      ( ~ between(a,X7,e)
      | between(a,X7,d)
      | between(a,d,X7) ),
    inference(resolution,[],[f80,f83]) ).

fof(f80,axiom,
    ! [X3,X10,X0,X5] :
      ( ~ between(X10,X5,X0)
      | between(X10,X5,X3)
      | ~ between(X10,X3,X0)
      | between(X10,X3,X5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t9) ).

fof(f285,plain,
    ~ spl0_2,
    inference(avatar_contradiction_clause,[],[f284]) ).

fof(f284,plain,
    ( $false
    | ~ spl0_2 ),
    inference(subsumption_resolution,[],[f276,f85]) ).

fof(f276,plain,
    ( between(a,b,e)
    | ~ spl0_2 ),
    inference(resolution,[],[f265,f106]) ).

fof(f106,plain,
    ! [X6] :
      ( ~ between(a,X6,c)
      | between(a,X6,e) ),
    inference(resolution,[],[f58,f82]) ).

fof(f265,plain,
    ( between(a,b,c)
    | ~ spl0_2 ),
    inference(resolution,[],[f186,f88]) ).

fof(f88,plain,
    between(d,b,c),
    inference(resolution,[],[f47,f84]) ).

fof(f47,axiom,
    ! [X3,X10,X5] :
      ( ~ between(X10,X3,X5)
      | between(X5,X3,X10) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1) ).

fof(f186,plain,
    ( ! [X3] :
        ( ~ between(d,X3,c)
        | between(a,X3,c) )
    | ~ spl0_2 ),
    inference(resolution,[],[f170,f57]) ).

fof(f170,plain,
    ( between(a,d,c)
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f168]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : GEO008-3 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.07/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34  % Computer : n003.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 20:56:52 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.19/0.48  % (5906)lrs+1010_1:4_amm=off:bce=on:sd=1:sos=on:ss=included:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.49  % (5914)fmb+10_1:1_fmbes=contour:fmbsr=2.0:fmbsso=input_usage:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.19/0.49  % (5914)Instruction limit reached!
% 0.19/0.49  % (5914)------------------------------
% 0.19/0.49  % (5914)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.49  % (5914)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.49  % (5914)Termination reason: Unknown
% 0.19/0.49  % (5914)Termination phase: Finite model building preprocessing
% 0.19/0.49  
% 0.19/0.49  % (5914)Memory used [KB]: 5884
% 0.19/0.49  % (5914)Time elapsed: 0.004 s
% 0.19/0.49  % (5914)Instructions burned: 6 (million)
% 0.19/0.49  % (5914)------------------------------
% 0.19/0.49  % (5914)------------------------------
% 0.19/0.49  % (5902)lrs+10_1:1_bd=off:drc=off:lcm=reverse:nwc=5.0:sd=1:sgt=16:spb=goal_then_units:ss=axioms:to=lpo:i=43:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/43Mi)
% 0.19/0.49  % (5922)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)
% 0.19/0.50  % (5927)lrs+10_1:1_sos=all:ss=axioms:st=1.5:i=20:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/20Mi)
% 0.19/0.50  % (5902)First to succeed.
% 0.19/0.50  % (5920)lrs+1010_1:1_bd=off:fsr=off:sd=1:sos=on:ss=axioms:i=67:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/67Mi)
% 0.19/0.50  % (5910)dis+4_1:1_bd=off:cond=fast:fde=unused:lcm=reverse:lma=on:nicw=on:nwc=2.0:s2a=on:s2agt=16:sac=on:sp=frequency:i=23:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/23Mi)
% 0.19/0.52  % (5910)Instruction limit reached!
% 0.19/0.52  % (5910)------------------------------
% 0.19/0.52  % (5910)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52  % (5920)Also succeeded, but the first one will report.
% 0.19/0.52  % (5902)Refutation found. Thanks to Tanya!
% 0.19/0.52  % SZS status Unsatisfiable for theBenchmark
% 0.19/0.52  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.52  % (5902)------------------------------
% 0.19/0.52  % (5902)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52  % (5902)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52  % (5902)Termination reason: Refutation
% 0.19/0.52  
% 0.19/0.52  % (5902)Memory used [KB]: 5884
% 0.19/0.52  % (5902)Time elapsed: 0.098 s
% 0.19/0.52  % (5902)Instructions burned: 13 (million)
% 0.19/0.52  % (5902)------------------------------
% 0.19/0.52  % (5902)------------------------------
% 0.19/0.52  % (5898)Success in time 0.164 s
%------------------------------------------------------------------------------