TSTP Solution File: MGT016-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : MGT016-1 : TPTP v8.1.0. Released v2.4.0.
% 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 : n001.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 17:51:22 EDT 2022

% Result   : Unsatisfiable 0.20s 0.52s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   21
% Syntax   : Number of formulae    :   53 (  18 unt;   0 def)
%            Number of atoms       :  191 (   0 equ)
%            Maximal formula atoms :   13 (   3 avg)
%            Number of connectives :  273 ( 135   ~; 133   |;   0   &)
%                                         (   5 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   23 (   6 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   13 (  12 usr;   6 prp; 0-3 aty)
%            Number of functors    :   10 (  10 usr;   9 con; 0-2 aty)
%            Number of variables   :   84 (  84   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f141,plain,
    $false,
    inference(avatar_sat_refutation,[],[f32,f116,f123,f126,f137,f140]) ).

fof(f140,plain,
    ~ spl0_19,
    inference(avatar_contradiction_clause,[],[f139]) ).

fof(f139,plain,
    ( $false
    | ~ spl0_19 ),
    inference(subsumption_resolution,[],[f138,f5]) ).

fof(f5,axiom,
    organization(sk3,sk8),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t16_FOL_5) ).

fof(f138,plain,
    ( ~ organization(sk3,sk8)
    | ~ spl0_19 ),
    inference(resolution,[],[f115,f1]) ).

fof(f1,axiom,
    ! [X0,X1] :
      ( inertia(X0,sk1(X1,X0),X1)
      | ~ organization(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp5_1) ).

fof(f115,plain,
    ( ! [X1] : ~ inertia(sk3,X1,sk8)
    | ~ spl0_19 ),
    inference(avatar_component_clause,[],[f114]) ).

fof(f114,plain,
    ( spl0_19
  <=> ! [X1] : ~ inertia(sk3,X1,sk8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).

fof(f137,plain,
    ~ spl0_18,
    inference(avatar_contradiction_clause,[],[f136]) ).

fof(f136,plain,
    ( $false
    | ~ spl0_18 ),
    inference(subsumption_resolution,[],[f135,f16]) ).

fof(f16,axiom,
    ~ greater(sk9,sk10),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t16_FOL_16) ).

fof(f135,plain,
    ( greater(sk9,sk10)
    | ~ spl0_18 ),
    inference(resolution,[],[f134,f9]) ).

fof(f9,axiom,
    reorganization(sk2,sk8,sk9),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t16_FOL_9) ).

fof(f134,plain,
    ( ! [X0] :
        ( ~ reorganization(sk2,sk8,X0)
        | greater(X0,sk10) )
    | ~ spl0_18 ),
    inference(subsumption_resolution,[],[f133,f6]) ).

fof(f6,axiom,
    ~ organization(sk3,sk10),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t16_FOL_6) ).

fof(f133,plain,
    ( ! [X0] :
        ( greater(X0,sk10)
        | organization(sk3,sk10)
        | ~ reorganization(sk2,sk8,X0) )
    | ~ spl0_18 ),
    inference(resolution,[],[f112,f10]) ).

fof(f10,axiom,
    reorganization(sk3,sk8,sk10),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t16_FOL_10) ).

fof(f112,plain,
    ( ! [X0,X4] :
        ( ~ reorganization(sk3,sk8,X4)
        | ~ reorganization(sk2,sk8,X0)
        | organization(sk3,X4)
        | greater(X0,X4) )
    | ~ spl0_18 ),
    inference(avatar_component_clause,[],[f111]) ).

fof(f111,plain,
    ( spl0_18
  <=> ! [X4,X0] :
        ( ~ reorganization(sk2,sk8,X0)
        | ~ reorganization(sk3,sk8,X4)
        | organization(sk3,X4)
        | greater(X0,X4) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).

fof(f126,plain,
    ~ spl0_17,
    inference(avatar_contradiction_clause,[],[f125]) ).

fof(f125,plain,
    ( $false
    | ~ spl0_17 ),
    inference(subsumption_resolution,[],[f124,f4]) ).

fof(f4,axiom,
    organization(sk2,sk8),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t16_FOL_4) ).

fof(f124,plain,
    ( ~ organization(sk2,sk8)
    | ~ spl0_17 ),
    inference(resolution,[],[f109,f1]) ).

fof(f109,plain,
    ( ! [X2] : ~ inertia(sk2,X2,sk8)
    | ~ spl0_17 ),
    inference(avatar_component_clause,[],[f108]) ).

fof(f108,plain,
    ( spl0_17
  <=> ! [X2] : ~ inertia(sk2,X2,sk8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).

fof(f123,plain,
    ~ spl0_1,
    inference(avatar_contradiction_clause,[],[f122]) ).

fof(f122,plain,
    ( $false
    | ~ spl0_1 ),
    inference(subsumption_resolution,[],[f121,f7]) ).

fof(f7,axiom,
    class(sk2,sk5,sk8),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t16_FOL_7) ).

fof(f121,plain,
    ( ~ class(sk2,sk5,sk8)
    | ~ spl0_1 ),
    inference(resolution,[],[f28,f8]) ).

fof(f8,axiom,
    class(sk3,sk5,sk8),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t16_FOL_8) ).

fof(f28,plain,
    ( ! [X0] :
        ( ~ class(sk3,X0,sk8)
        | ~ class(sk2,X0,sk8) )
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f27]) ).

fof(f27,plain,
    ( spl0_1
  <=> ! [X0] :
        ( ~ class(sk3,X0,sk8)
        | ~ class(sk2,X0,sk8) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f116,plain,
    ( spl0_17
    | spl0_18
    | spl0_19
    | spl0_1
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f106,f30,f27,f114,f111,f108]) ).

fof(f30,plain,
    ( spl0_2
  <=> ! [X2,X1] :
        ( ~ inertia(sk2,X2,sk8)
        | ~ inertia(sk3,X1,sk8)
        | greater(X1,X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f106,plain,
    ( ! [X2,X3,X0,X1,X4] :
        ( ~ class(sk2,X3,sk8)
        | ~ inertia(sk3,X1,sk8)
        | ~ reorganization(sk2,sk8,X0)
        | greater(X0,X4)
        | ~ inertia(sk2,X2,sk8)
        | ~ class(sk3,X3,sk8)
        | organization(sk3,X4)
        | ~ reorganization(sk3,sk8,X4) )
    | ~ spl0_2 ),
    inference(subsumption_resolution,[],[f105,f31]) ).

fof(f31,plain,
    ( ! [X2,X1] :
        ( ~ inertia(sk3,X1,sk8)
        | ~ inertia(sk2,X2,sk8)
        | greater(X1,X2) )
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f30]) ).

fof(f105,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ greater(X1,X2)
      | ~ inertia(sk2,X2,sk8)
      | ~ inertia(sk3,X1,sk8)
      | ~ reorganization(sk3,sk8,X4)
      | ~ class(sk2,X3,sk8)
      | greater(X0,X4)
      | ~ class(sk3,X3,sk8)
      | ~ reorganization(sk2,sk8,X0)
      | organization(sk3,X4) ),
    inference(subsumption_resolution,[],[f94,f4]) ).

fof(f94,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ greater(X1,X2)
      | ~ inertia(sk3,X1,sk8)
      | ~ reorganization(sk3,sk8,X4)
      | ~ class(sk3,X3,sk8)
      | ~ inertia(sk2,X2,sk8)
      | ~ class(sk2,X3,sk8)
      | ~ reorganization(sk2,sk8,X0)
      | organization(sk3,X4)
      | ~ organization(sk2,sk8)
      | greater(X0,X4) ),
    inference(resolution,[],[f48,f11]) ).

fof(f11,axiom,
    reorganization_type(sk2,sk4,sk8),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t16_FOL_11) ).

fof(f48,plain,
    ! [X10,X11,X8,X6,X9,X7] :
      ( ~ reorganization_type(X8,sk4,sk8)
      | ~ reorganization(X8,sk8,X11)
      | ~ greater(X6,X7)
      | ~ class(X8,X10,sk8)
      | ~ inertia(sk3,X6,sk8)
      | ~ inertia(X8,X7,sk8)
      | greater(X11,X9)
      | ~ organization(X8,sk8)
      | ~ reorganization(sk3,sk8,X9)
      | ~ class(sk3,X10,sk8)
      | organization(sk3,X9) ),
    inference(subsumption_resolution,[],[f46,f5]) ).

fof(f46,plain,
    ! [X10,X11,X8,X6,X9,X7] :
      ( ~ inertia(X8,X7,sk8)
      | ~ organization(sk3,sk8)
      | organization(sk3,X9)
      | ~ reorganization(sk3,sk8,X9)
      | ~ reorganization_type(X8,sk4,sk8)
      | ~ inertia(sk3,X6,sk8)
      | greater(X11,X9)
      | ~ reorganization(X8,sk8,X11)
      | ~ greater(X6,X7)
      | ~ organization(X8,sk8)
      | ~ class(X8,X10,sk8)
      | ~ class(sk3,X10,sk8) ),
    inference(resolution,[],[f3,f12]) ).

fof(f12,axiom,
    reorganization_type(sk3,sk4,sk8),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t16_FOL_12) ).

fof(f3,axiom,
    ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
      ( ~ reorganization_type(X2,X6,X1)
      | ~ greater(X8,X7)
      | ~ organization(X2,X1)
      | ~ inertia(X0,X7,X1)
      | organization(X2,X3)
      | ~ inertia(X2,X8,X1)
      | ~ class(X0,X4,X1)
      | ~ reorganization(X2,X1,X3)
      | greater(X5,X3)
      | ~ reorganization_type(X0,X6,X1)
      | ~ class(X2,X4,X1)
      | ~ organization(X0,X1)
      | ~ reorganization(X0,X1,X5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',a14_FOL_3) ).

fof(f32,plain,
    ( spl0_1
    | spl0_2 ),
    inference(avatar_split_clause,[],[f25,f30,f27]) ).

fof(f25,plain,
    ! [X2,X0,X1] :
      ( ~ inertia(sk2,X2,sk8)
      | ~ inertia(sk3,X1,sk8)
      | ~ class(sk3,X0,sk8)
      | ~ class(sk2,X0,sk8)
      | greater(X1,X2) ),
    inference(subsumption_resolution,[],[f24,f15]) ).

fof(f15,axiom,
    greater(sk7,sk6),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t16_FOL_15) ).

fof(f24,plain,
    ! [X2,X0,X1] :
      ( greater(X1,X2)
      | ~ greater(sk7,sk6)
      | ~ class(sk2,X0,sk8)
      | ~ inertia(sk2,X2,sk8)
      | ~ inertia(sk3,X1,sk8)
      | ~ class(sk3,X0,sk8) ),
    inference(subsumption_resolution,[],[f21,f4]) ).

fof(f21,plain,
    ! [X2,X0,X1] :
      ( greater(X1,X2)
      | ~ class(sk2,X0,sk8)
      | ~ organization(sk2,sk8)
      | ~ inertia(sk2,X2,sk8)
      | ~ inertia(sk3,X1,sk8)
      | ~ class(sk3,X0,sk8)
      | ~ greater(sk7,sk6) ),
    inference(resolution,[],[f19,f13]) ).

fof(f13,axiom,
    complexity(sk2,sk6,sk8),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t16_FOL_13) ).

fof(f19,plain,
    ! [X10,X11,X8,X6,X9,X7] :
      ( ~ complexity(X6,X11,X8)
      | ~ class(sk3,X9,sk8)
      | ~ class(X6,X9,X8)
      | greater(X10,X7)
      | ~ inertia(X6,X7,X8)
      | ~ organization(X6,X8)
      | ~ inertia(sk3,X10,sk8)
      | ~ greater(sk7,X11) ),
    inference(subsumption_resolution,[],[f18,f5]) ).

fof(f18,plain,
    ! [X10,X11,X8,X6,X9,X7] :
      ( ~ inertia(X6,X7,X8)
      | ~ class(X6,X9,X8)
      | ~ complexity(X6,X11,X8)
      | greater(X10,X7)
      | ~ class(sk3,X9,sk8)
      | ~ inertia(sk3,X10,sk8)
      | ~ organization(X6,X8)
      | ~ greater(sk7,X11)
      | ~ organization(sk3,sk8) ),
    inference(resolution,[],[f2,f14]) ).

fof(f14,axiom,
    complexity(sk3,sk7,sk8),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t16_FOL_14) ).

fof(f2,axiom,
    ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
      ( ~ complexity(X2,X6,X3)
      | ~ inertia(X0,X7,X1)
      | ~ class(X2,X4,X3)
      | ~ organization(X2,X3)
      | ~ class(X0,X4,X1)
      | greater(X8,X7)
      | ~ complexity(X0,X5,X1)
      | ~ organization(X0,X1)
      | ~ greater(X6,X5)
      | ~ inertia(X2,X8,X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',a12_FOL_2) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : MGT016-1 : TPTP v8.1.0. Released v2.4.0.
% 0.03/0.13  % 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 : n001.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   : Tue Aug 30 03:34:15 EDT 2022
% 0.14/0.34  % CPUTime    : 
% 0.20/0.51  % (27988)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)
% 0.20/0.51  % (27995)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.51  % (27995)First to succeed.
% 0.20/0.52  % (28003)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)
% 0.20/0.52  % (27995)Refutation found. Thanks to Tanya!
% 0.20/0.52  % SZS status Unsatisfiable for theBenchmark
% 0.20/0.52  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.52  % (27995)------------------------------
% 0.20/0.52  % (27995)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52  % (27995)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52  % (27995)Termination reason: Refutation
% 0.20/0.52  
% 0.20/0.52  % (27995)Memory used [KB]: 5500
% 0.20/0.52  % (27995)Time elapsed: 0.112 s
% 0.20/0.52  % (27995)Instructions burned: 3 (million)
% 0.20/0.52  % (27995)------------------------------
% 0.20/0.52  % (27995)------------------------------
% 0.20/0.52  % (27987)Success in time 0.17 s
%------------------------------------------------------------------------------