TSTP Solution File: MGT006-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : MGT006-1 : 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 : n027.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 17:51:19 EDT 2022

% Result   : Unsatisfiable 0.20s 0.48s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   21
% Syntax   : Number of formulae    :   61 (  13 unt;   0 def)
%            Number of atoms       :  212 (   0 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives :  303 ( 152   ~; 143   |;   0   &)
%                                         (   8 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   21 (   6 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   15 (  14 usr;   9 prp; 0-3 aty)
%            Number of functors    :    8 (   8 usr;   7 con; 0-2 aty)
%            Number of variables   :  109 ( 109   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f135,plain,
    $false,
    inference(avatar_sat_refutation,[],[f23,f51,f57,f79,f90,f107,f115,f118,f134]) ).

fof(f134,plain,
    ( spl0_1
    | ~ spl0_15 ),
    inference(avatar_contradiction_clause,[],[f133]) ).

fof(f133,plain,
    ( $false
    | spl0_1
    | ~ spl0_15 ),
    inference(subsumption_resolution,[],[f132,f18]) ).

fof(f18,plain,
    ( ~ greater(sk4,sk3)
    | spl0_1 ),
    inference(avatar_component_clause,[],[f16]) ).

fof(f16,plain,
    ( spl0_1
  <=> greater(sk4,sk3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f132,plain,
    ( greater(sk4,sk3)
    | ~ spl0_15 ),
    inference(resolution,[],[f131,f10]) ).

fof(f10,axiom,
    reliability(sk2,sk4,sk8),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t6_FOL_10) ).

fof(f131,plain,
    ( ! [X0] :
        ( ~ reliability(sk2,X0,sk8)
        | greater(X0,sk3) )
    | ~ spl0_15 ),
    inference(resolution,[],[f106,f9]) ).

fof(f9,axiom,
    reliability(sk2,sk3,sk7),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t6_FOL_9) ).

fof(f106,plain,
    ( ! [X0,X1] :
        ( ~ reliability(sk2,X1,sk7)
        | greater(X0,X1)
        | ~ reliability(sk2,X0,sk8) )
    | ~ spl0_15 ),
    inference(avatar_component_clause,[],[f105]) ).

fof(f105,plain,
    ( spl0_15
  <=> ! [X0,X1] :
        ( ~ reliability(sk2,X1,sk7)
        | ~ reliability(sk2,X0,sk8)
        | greater(X0,X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).

fof(f118,plain,
    ~ spl0_12,
    inference(avatar_contradiction_clause,[],[f117]) ).

fof(f117,plain,
    ( $false
    | ~ spl0_12 ),
    inference(subsumption_resolution,[],[f116,f7]) ).

fof(f7,axiom,
    organization(sk2,sk8),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t6_FOL_7) ).

fof(f116,plain,
    ( ~ organization(sk2,sk8)
    | ~ spl0_12 ),
    inference(resolution,[],[f89,f1]) ).

fof(f1,axiom,
    ! [X0,X1] :
      ( reproducibility(X0,sk1(X1,X0),X1)
      | ~ organization(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp3_1) ).

fof(f89,plain,
    ( ! [X1] : ~ reproducibility(sk2,X1,sk8)
    | ~ spl0_12 ),
    inference(avatar_component_clause,[],[f88]) ).

fof(f88,plain,
    ( spl0_12
  <=> ! [X1] : ~ reproducibility(sk2,X1,sk8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).

fof(f115,plain,
    ~ spl0_11,
    inference(avatar_contradiction_clause,[],[f114]) ).

fof(f114,plain,
    ( $false
    | ~ spl0_11 ),
    inference(subsumption_resolution,[],[f113,f6]) ).

fof(f6,axiom,
    organization(sk2,sk7),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t6_FOL_6) ).

fof(f113,plain,
    ( ~ organization(sk2,sk7)
    | ~ spl0_11 ),
    inference(resolution,[],[f86,f1]) ).

fof(f86,plain,
    ( ! [X0] : ~ reproducibility(sk2,X0,sk7)
    | ~ spl0_11 ),
    inference(avatar_component_clause,[],[f85]) ).

fof(f85,plain,
    ( spl0_11
  <=> ! [X0] : ~ reproducibility(sk2,X0,sk7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f107,plain,
    ( spl0_12
    | spl0_11
    | spl0_15 ),
    inference(avatar_split_clause,[],[f103,f105,f85,f88]) ).

fof(f103,plain,
    ! [X2,X3,X0,X1] :
      ( ~ reliability(sk2,X1,sk7)
      | ~ reproducibility(sk2,X2,sk7)
      | ~ reliability(sk2,X0,sk8)
      | ~ reproducibility(sk2,X3,sk8)
      | greater(X0,X1) ),
    inference(subsumption_resolution,[],[f102,f27]) ).

fof(f27,plain,
    ! [X0,X1] :
      ( ~ reproducibility(sk2,X1,sk7)
      | greater(X0,X1)
      | ~ reproducibility(sk2,X0,sk8) ),
    inference(subsumption_resolution,[],[f26,f13]) ).

fof(f13,axiom,
    greater(sk8,sk7),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t6_FOL_13) ).

fof(f26,plain,
    ! [X0,X1] :
      ( ~ reproducibility(sk2,X1,sk7)
      | ~ reproducibility(sk2,X0,sk8)
      | greater(X0,X1)
      | ~ greater(sk8,sk7) ),
    inference(subsumption_resolution,[],[f25,f6]) ).

fof(f25,plain,
    ! [X0,X1] :
      ( greater(X0,X1)
      | ~ reproducibility(sk2,X1,sk7)
      | ~ reproducibility(sk2,X0,sk8)
      | ~ organization(sk2,sk7)
      | ~ greater(sk8,sk7) ),
    inference(subsumption_resolution,[],[f24,f7]) ).

fof(f24,plain,
    ! [X0,X1] :
      ( ~ reproducibility(sk2,X1,sk7)
      | ~ organization(sk2,sk8)
      | greater(X0,X1)
      | ~ reproducibility(sk2,X0,sk8)
      | ~ organization(sk2,sk7)
      | ~ greater(sk8,sk7) ),
    inference(resolution,[],[f5,f8]) ).

fof(f8,axiom,
    reorganization_free(sk2,sk7,sk8),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t6_FOL_8) ).

fof(f5,axiom,
    ! [X2,X3,X0,X1,X4] :
      ( ~ reorganization_free(X0,X1,X2)
      | greater(X4,X3)
      | ~ organization(X0,X1)
      | ~ organization(X0,X2)
      | ~ reproducibility(X0,X4,X2)
      | ~ greater(X2,X1)
      | ~ reproducibility(X0,X3,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',a4_FOL_5) ).

fof(f102,plain,
    ! [X2,X3,X0,X1] :
      ( greater(X0,X1)
      | ~ reliability(sk2,X0,sk8)
      | ~ greater(X3,X2)
      | ~ reproducibility(sk2,X3,sk8)
      | ~ reliability(sk2,X1,sk7)
      | ~ reproducibility(sk2,X2,sk7) ),
    inference(subsumption_resolution,[],[f100,f6]) ).

fof(f100,plain,
    ! [X2,X3,X0,X1] :
      ( ~ reproducibility(sk2,X2,sk7)
      | ~ organization(sk2,sk7)
      | ~ reproducibility(sk2,X3,sk8)
      | ~ reliability(sk2,X1,sk7)
      | ~ greater(X3,X2)
      | greater(X0,X1)
      | ~ reliability(sk2,X0,sk8) ),
    inference(resolution,[],[f30,f11]) ).

fof(f11,axiom,
    accountability(sk2,sk5,sk7),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t6_FOL_11) ).

fof(f30,plain,
    ! [X10,X11,X8,X9,X7,X12,X13] :
      ( ~ accountability(X7,X13,X8)
      | greater(X11,X10)
      | ~ reliability(X7,X10,X8)
      | ~ reproducibility(X7,X12,X8)
      | ~ organization(X7,X8)
      | ~ reproducibility(sk2,X9,sk8)
      | ~ reliability(sk2,X11,sk8)
      | ~ greater(X9,X12) ),
    inference(subsumption_resolution,[],[f29,f7]) ).

fof(f29,plain,
    ! [X10,X11,X8,X9,X7,X12,X13] :
      ( greater(X11,X10)
      | ~ organization(X7,X8)
      | ~ reproducibility(sk2,X9,sk8)
      | ~ organization(sk2,sk8)
      | ~ accountability(X7,X13,X8)
      | ~ reliability(sk2,X11,sk8)
      | ~ reliability(X7,X10,X8)
      | ~ greater(X9,X12)
      | ~ reproducibility(X7,X12,X8) ),
    inference(resolution,[],[f2,f12]) ).

fof(f12,axiom,
    accountability(sk2,sk6,sk8),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t6_FOL_12) ).

fof(f2,axiom,
    ! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
      ( ~ accountability(X2,X7,X3)
      | ~ organization(X0,X1)
      | ~ reproducibility(X2,X9,X3)
      | ~ organization(X2,X3)
      | ~ reliability(X0,X4,X1)
      | greater(X5,X4)
      | ~ reproducibility(X0,X8,X1)
      | ~ greater(X9,X8)
      | ~ accountability(X0,X6,X1)
      | ~ reliability(X2,X5,X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',a2_FOL_2) ).

fof(f90,plain,
    ( spl0_3
    | spl0_11
    | spl0_12
    | spl0_2
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f83,f46,f20,f88,f85,f38]) ).

fof(f38,plain,
    ( spl0_3
  <=> ! [X0] : ~ reliability(sk2,X0,sk7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f20,plain,
    ( spl0_2
  <=> greater(sk6,sk5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f46,plain,
    ( spl0_5
  <=> ! [X11,X9,X13,X12,X10,X8] :
        ( ~ reproducibility(sk2,X8,sk8)
        | greater(sk6,X13)
        | ~ reproducibility(X9,X11,X10)
        | ~ accountability(X9,X13,X10)
        | ~ greater(X8,X11)
        | ~ organization(X9,X10)
        | ~ reliability(X9,X12,X10) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f83,plain,
    ( ! [X2,X0,X1] :
        ( greater(sk6,sk5)
        | ~ reproducibility(sk2,X1,sk8)
        | ~ reproducibility(sk2,X0,sk7)
        | ~ reliability(sk2,X2,sk7) )
    | ~ spl0_5 ),
    inference(subsumption_resolution,[],[f82,f27]) ).

fof(f82,plain,
    ( ! [X2,X0,X1] :
        ( ~ reliability(sk2,X2,sk7)
        | ~ reproducibility(sk2,X0,sk7)
        | ~ reproducibility(sk2,X1,sk8)
        | ~ greater(X1,X0)
        | greater(sk6,sk5) )
    | ~ spl0_5 ),
    inference(subsumption_resolution,[],[f80,f6]) ).

fof(f80,plain,
    ( ! [X2,X0,X1] :
        ( greater(sk6,sk5)
        | ~ reproducibility(sk2,X0,sk7)
        | ~ reliability(sk2,X2,sk7)
        | ~ greater(X1,X0)
        | ~ organization(sk2,sk7)
        | ~ reproducibility(sk2,X1,sk8) )
    | ~ spl0_5 ),
    inference(resolution,[],[f47,f11]) ).

fof(f47,plain,
    ( ! [X10,X11,X8,X9,X12,X13] :
        ( ~ accountability(X9,X13,X10)
        | ~ reproducibility(X9,X11,X10)
        | ~ greater(X8,X11)
        | greater(sk6,X13)
        | ~ organization(X9,X10)
        | ~ reproducibility(sk2,X8,sk8)
        | ~ reliability(X9,X12,X10) )
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f46]) ).

fof(f79,plain,
    ~ spl0_6,
    inference(avatar_contradiction_clause,[],[f78]) ).

fof(f78,plain,
    ( $false
    | ~ spl0_6 ),
    inference(resolution,[],[f50,f10]) ).

fof(f50,plain,
    ( ! [X7] : ~ reliability(sk2,X7,sk8)
    | ~ spl0_6 ),
    inference(avatar_component_clause,[],[f49]) ).

fof(f49,plain,
    ( spl0_6
  <=> ! [X7] : ~ reliability(sk2,X7,sk8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f57,plain,
    ~ spl0_3,
    inference(avatar_contradiction_clause,[],[f56]) ).

fof(f56,plain,
    ( $false
    | ~ spl0_3 ),
    inference(resolution,[],[f39,f9]) ).

fof(f39,plain,
    ( ! [X0] : ~ reliability(sk2,X0,sk7)
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f38]) ).

fof(f51,plain,
    ( spl0_5
    | spl0_6 ),
    inference(avatar_split_clause,[],[f44,f49,f46]) ).

fof(f44,plain,
    ! [X10,X11,X8,X9,X7,X12,X13] :
      ( ~ reliability(sk2,X7,sk8)
      | ~ reproducibility(sk2,X8,sk8)
      | ~ organization(X9,X10)
      | ~ reliability(X9,X12,X10)
      | ~ greater(X8,X11)
      | ~ accountability(X9,X13,X10)
      | ~ reproducibility(X9,X11,X10)
      | greater(sk6,X13) ),
    inference(subsumption_resolution,[],[f35,f7]) ).

fof(f35,plain,
    ! [X10,X11,X8,X9,X7,X12,X13] :
      ( ~ organization(sk2,sk8)
      | greater(sk6,X13)
      | ~ accountability(X9,X13,X10)
      | ~ reliability(sk2,X7,sk8)
      | ~ reproducibility(X9,X11,X10)
      | ~ organization(X9,X10)
      | ~ reliability(X9,X12,X10)
      | ~ reproducibility(sk2,X8,sk8)
      | ~ greater(X8,X11) ),
    inference(resolution,[],[f3,f12]) ).

fof(f3,axiom,
    ! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
      ( ~ accountability(X2,X7,X3)
      | ~ reliability(X2,X5,X3)
      | ~ reproducibility(X2,X9,X3)
      | ~ organization(X0,X1)
      | ~ greater(X9,X8)
      | ~ reliability(X0,X4,X1)
      | ~ organization(X2,X3)
      | ~ accountability(X0,X6,X1)
      | ~ reproducibility(X0,X8,X1)
      | greater(X7,X6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',a2_FOL_3) ).

fof(f23,plain,
    ( ~ spl0_1
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f14,f20,f16]) ).

fof(f14,axiom,
    ( ~ greater(sk6,sk5)
    | ~ greater(sk4,sk3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t6_FOL_14) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : MGT006-1 : 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
% 0.13/0.34  % Computer : n027.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   : Tue Aug 30 03:25:45 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.20/0.48  % (2466)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.48  % (2455)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.48  % (2455)First to succeed.
% 0.20/0.48  % (2455)Refutation found. Thanks to Tanya!
% 0.20/0.48  % SZS status Unsatisfiable for theBenchmark
% 0.20/0.48  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.48  % (2455)------------------------------
% 0.20/0.48  % (2455)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.48  % (2455)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.48  % (2455)Termination reason: Refutation
% 0.20/0.48  
% 0.20/0.48  % (2455)Memory used [KB]: 5500
% 0.20/0.48  % (2455)Time elapsed: 0.081 s
% 0.20/0.48  % (2455)Instructions burned: 4 (million)
% 0.20/0.48  % (2455)------------------------------
% 0.20/0.48  % (2455)------------------------------
% 0.20/0.48  % (2447)Success in time 0.135 s
%------------------------------------------------------------------------------