TSTP Solution File: MGT053-1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : MGT053-1 : 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_uns --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 17:51:11 EDT 2022

% Result   : Unsatisfiable 0.19s 0.50s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   56 (   1 unt;   0 def)
%            Number of atoms       :  170 (   0 equ)
%            Maximal formula atoms :    5 (   3 avg)
%            Number of connectives :  201 (  87   ~; 110   |;   0   &)
%                                         (   4 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    8 (   7 usr;   5 prp; 0-3 aty)
%            Number of functors    :    3 (   3 usr;   3 con; 0-0 aty)
%            Number of variables   :   15 (  15   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f111,plain,
    $false,
    inference(avatar_sat_refutation,[],[f33,f34,f51,f61,f77,f89,f92,f95,f104,f110]) ).

fof(f110,plain,
    ( ~ spl0_1
    | ~ spl0_3
    | ~ spl0_4 ),
    inference(avatar_contradiction_clause,[],[f109]) ).

fof(f109,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_4 ),
    inference(subsumption_resolution,[],[f108,f50]) ).

fof(f50,plain,
    ( is_aligned(sk1,sk2)
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f48]) ).

fof(f48,plain,
    ( spl0_4
  <=> is_aligned(sk1,sk2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f108,plain,
    ( ~ is_aligned(sk1,sk2)
    | ~ spl0_1
    | ~ spl0_3 ),
    inference(subsumption_resolution,[],[f105,f46]) ).

fof(f46,plain,
    ( is_aligned(sk1,sk3)
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f44]) ).

fof(f44,plain,
    ( spl0_3
  <=> is_aligned(sk1,sk3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f105,plain,
    ( ~ is_aligned(sk1,sk3)
    | ~ is_aligned(sk1,sk2)
    | ~ spl0_1 ),
    inference(resolution,[],[f28,f14]) ).

fof(f14,axiom,
    ! [X2,X0,X1] :
      ( ~ dissimilar(X0,X1,X2)
      | ~ is_aligned(X0,X1)
      | ~ is_aligned(X0,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_2_31) ).

fof(f28,plain,
    ( dissimilar(sk1,sk2,sk3)
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f26]) ).

fof(f26,plain,
    ( spl0_1
  <=> dissimilar(sk1,sk2,sk3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f104,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_3
    | ~ spl0_4 ),
    inference(avatar_contradiction_clause,[],[f103]) ).

fof(f103,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_3
    | ~ spl0_4 ),
    inference(subsumption_resolution,[],[f102,f99]) ).

fof(f99,plain,
    ( ~ organization(sk1)
    | spl0_1
    | spl0_3
    | ~ spl0_4 ),
    inference(subsumption_resolution,[],[f98,f50]) ).

fof(f98,plain,
    ( ~ organization(sk1)
    | ~ is_aligned(sk1,sk2)
    | spl0_1
    | spl0_3 ),
    inference(subsumption_resolution,[],[f97,f45]) ).

fof(f45,plain,
    ( ~ is_aligned(sk1,sk3)
    | spl0_3 ),
    inference(avatar_component_clause,[],[f44]) ).

fof(f97,plain,
    ( ~ organization(sk1)
    | is_aligned(sk1,sk3)
    | ~ is_aligned(sk1,sk2)
    | spl0_1 ),
    inference(resolution,[],[f27,f16]) ).

fof(f16,axiom,
    ! [X2,X0,X1] :
      ( dissimilar(X0,X1,X2)
      | is_aligned(X0,X2)
      | ~ organization(X0)
      | ~ is_aligned(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_2_33) ).

fof(f27,plain,
    ( ~ dissimilar(sk1,sk2,sk3)
    | spl0_1 ),
    inference(avatar_component_clause,[],[f26]) ).

fof(f102,plain,
    ( organization(sk1)
    | ~ spl0_2 ),
    inference(resolution,[],[f32,f12]) ).

fof(f12,axiom,
    ! [X2,X0,X1] :
      ( ~ dissimilar(X0,X1,X2)
      | organization(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_2_29) ).

fof(f32,plain,
    ( dissimilar(sk1,sk3,sk2)
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f30]) ).

fof(f30,plain,
    ( spl0_2
  <=> dissimilar(sk1,sk3,sk2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f95,plain,
    ( ~ spl0_4
    | ~ spl0_1
    | spl0_2
    | spl0_3 ),
    inference(avatar_split_clause,[],[f94,f44,f30,f26,f48]) ).

fof(f94,plain,
    ( ~ is_aligned(sk1,sk2)
    | ~ spl0_1
    | spl0_2
    | spl0_3 ),
    inference(subsumption_resolution,[],[f93,f80]) ).

fof(f80,plain,
    ( organization(sk1)
    | ~ spl0_1 ),
    inference(resolution,[],[f28,f12]) ).

fof(f93,plain,
    ( ~ organization(sk1)
    | ~ is_aligned(sk1,sk2)
    | spl0_2
    | spl0_3 ),
    inference(subsumption_resolution,[],[f81,f45]) ).

fof(f81,plain,
    ( ~ is_aligned(sk1,sk2)
    | is_aligned(sk1,sk3)
    | ~ organization(sk1)
    | spl0_2 ),
    inference(resolution,[],[f31,f17]) ).

fof(f17,axiom,
    ! [X2,X0,X1] :
      ( dissimilar(X0,X2,X1)
      | ~ is_aligned(X0,X1)
      | ~ organization(X0)
      | is_aligned(X0,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_2_34) ).

fof(f31,plain,
    ( ~ dissimilar(sk1,sk3,sk2)
    | spl0_2 ),
    inference(avatar_component_clause,[],[f30]) ).

fof(f92,plain,
    ( ~ spl0_1
    | spl0_3
    | spl0_4 ),
    inference(avatar_contradiction_clause,[],[f91]) ).

fof(f91,plain,
    ( $false
    | ~ spl0_1
    | spl0_3
    | spl0_4 ),
    inference(subsumption_resolution,[],[f90,f45]) ).

fof(f90,plain,
    ( is_aligned(sk1,sk3)
    | ~ spl0_1
    | spl0_4 ),
    inference(subsumption_resolution,[],[f79,f49]) ).

fof(f49,plain,
    ( ~ is_aligned(sk1,sk2)
    | spl0_4 ),
    inference(avatar_component_clause,[],[f48]) ).

fof(f79,plain,
    ( is_aligned(sk1,sk2)
    | is_aligned(sk1,sk3)
    | ~ spl0_1 ),
    inference(resolution,[],[f28,f13]) ).

fof(f13,axiom,
    ! [X2,X0,X1] :
      ( ~ dissimilar(X0,X1,X2)
      | is_aligned(X0,X2)
      | is_aligned(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_2_30) ).

fof(f89,plain,
    ( ~ spl0_3
    | ~ spl0_1
    | spl0_2
    | spl0_4 ),
    inference(avatar_split_clause,[],[f88,f48,f30,f26,f44]) ).

fof(f88,plain,
    ( ~ is_aligned(sk1,sk3)
    | ~ spl0_1
    | spl0_2
    | spl0_4 ),
    inference(subsumption_resolution,[],[f87,f80]) ).

fof(f87,plain,
    ( ~ organization(sk1)
    | ~ is_aligned(sk1,sk3)
    | spl0_2
    | spl0_4 ),
    inference(subsumption_resolution,[],[f82,f49]) ).

fof(f82,plain,
    ( ~ organization(sk1)
    | is_aligned(sk1,sk2)
    | ~ is_aligned(sk1,sk3)
    | spl0_2 ),
    inference(resolution,[],[f31,f16]) ).

fof(f77,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(avatar_contradiction_clause,[],[f76]) ).

fof(f76,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(subsumption_resolution,[],[f75,f35]) ).

fof(f35,plain,
    ( organization(sk1)
    | ~ spl0_2 ),
    inference(resolution,[],[f12,f32]) ).

fof(f75,plain,
    ( ~ organization(sk1)
    | spl0_1
    | ~ spl0_3
    | spl0_4 ),
    inference(subsumption_resolution,[],[f74,f49]) ).

fof(f74,plain,
    ( is_aligned(sk1,sk2)
    | ~ organization(sk1)
    | spl0_1
    | ~ spl0_3 ),
    inference(subsumption_resolution,[],[f68,f46]) ).

fof(f68,plain,
    ( ~ is_aligned(sk1,sk3)
    | ~ organization(sk1)
    | is_aligned(sk1,sk2)
    | spl0_1 ),
    inference(resolution,[],[f17,f27]) ).

fof(f61,plain,
    ( ~ spl0_4
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f60,f44,f30,f48]) ).

fof(f60,plain,
    ( ~ is_aligned(sk1,sk2)
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(subsumption_resolution,[],[f59,f46]) ).

fof(f59,plain,
    ( ~ is_aligned(sk1,sk3)
    | ~ is_aligned(sk1,sk2)
    | ~ spl0_2 ),
    inference(resolution,[],[f14,f32]) ).

fof(f51,plain,
    ( spl0_3
    | spl0_4
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f42,f30,f48,f44]) ).

fof(f42,plain,
    ( is_aligned(sk1,sk2)
    | is_aligned(sk1,sk3)
    | ~ spl0_2 ),
    inference(resolution,[],[f13,f32]) ).

fof(f34,plain,
    ( ~ spl0_1
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f22,f30,f26]) ).

fof(f22,axiom,
    ( ~ dissimilar(sk1,sk3,sk2)
    | ~ dissimilar(sk1,sk2,sk3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lemma_7_39) ).

fof(f33,plain,
    ( spl0_1
    | spl0_2 ),
    inference(avatar_split_clause,[],[f19,f30,f26]) ).

fof(f19,axiom,
    ( dissimilar(sk1,sk3,sk2)
    | dissimilar(sk1,sk2,sk3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lemma_7_36) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem    : MGT053-1 : TPTP v8.1.0. Released v2.4.0.
% 0.06/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.33  % Computer : n008.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit   : 300
% 0.12/0.33  % WCLimit    : 300
% 0.12/0.33  % DateTime   : Tue Aug 30 03:25:25 EDT 2022
% 0.12/0.33  % CPUTime    : 
% 0.19/0.50  % (16669)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  % (16646)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 0.19/0.50  % (16646)First to succeed.
% 0.19/0.50  % (16650)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=34:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/34Mi)
% 0.19/0.50  % (16646)Refutation found. Thanks to Tanya!
% 0.19/0.50  % SZS status Unsatisfiable for theBenchmark
% 0.19/0.50  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.50  % (16646)------------------------------
% 0.19/0.50  % (16646)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50  % (16646)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50  % (16646)Termination reason: Refutation
% 0.19/0.50  
% 0.19/0.50  % (16646)Memory used [KB]: 5884
% 0.19/0.50  % (16646)Time elapsed: 0.104 s
% 0.19/0.50  % (16646)Instructions burned: 3 (million)
% 0.19/0.50  % (16646)------------------------------
% 0.19/0.50  % (16646)------------------------------
% 0.19/0.50  % (16645)Success in time 0.161 s
%------------------------------------------------------------------------------