TSTP Solution File: MGT041-2 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : MGT041-2 : 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 : n014.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 17:51:34 EDT 2022

% Result   : Unsatisfiable 0.23s 0.54s
% Output   : Refutation 0.23s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   24 (  10 unt;   0 def)
%            Number of atoms       :   45 (   0 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   48 (  27   ~;  19   |;   0   &)
%                                         (   2 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    9 (   8 usr;   3 prp; 0-3 aty)
%            Number of functors    :    4 (   4 usr;   4 con; 0-0 aty)
%            Number of variables   :    8 (   8   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f31,plain,
    $false,
    inference(avatar_sat_refutation,[],[f18,f25,f30]) ).

fof(f30,plain,
    ~ spl0_2,
    inference(avatar_contradiction_clause,[],[f29]) ).

fof(f29,plain,
    ( $false
    | ~ spl0_2 ),
    inference(subsumption_resolution,[],[f28,f17]) ).

fof(f17,plain,
    ( first_mover(sk1)
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f15]) ).

fof(f15,plain,
    ( spl0_2
  <=> first_mover(sk1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f28,plain,
    ~ first_mover(sk1),
    inference(subsumption_resolution,[],[f27,f4]) ).

fof(f4,axiom,
    organisation_at_time(sk1,sk2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a16_4) ).

fof(f27,plain,
    ( ~ organisation_at_time(sk1,sk2)
    | ~ first_mover(sk1) ),
    inference(subsumption_resolution,[],[f26,f5]) ).

fof(f5,axiom,
    founding_time(sk1,sk2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a16_5) ).

fof(f26,plain,
    ( ~ founding_time(sk1,sk2)
    | ~ first_mover(sk1)
    | ~ organisation_at_time(sk1,sk2) ),
    inference(resolution,[],[f3,f19]) ).

fof(f19,plain,
    ~ number_of_routines(sk1,sk2,low),
    inference(resolution,[],[f1,f6]) ).

fof(f6,axiom,
    number_of_routines(sk1,sk2,high),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a16_6) ).

fof(f1,axiom,
    ! [X0,X1] :
      ( ~ number_of_routines(X0,X1,high)
      | ~ number_of_routines(X0,X1,low) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_not_high_and_low_1) ).

fof(f3,axiom,
    ! [X0,X1] :
      ( number_of_routines(X0,X1,low)
      | ~ organisation_at_time(X0,X1)
      | ~ founding_time(X0,X1)
      | ~ first_mover(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a15_3) ).

fof(f25,plain,
    ~ spl0_1,
    inference(avatar_split_clause,[],[f22,f11]) ).

fof(f11,plain,
    ( spl0_1
  <=> efficient_producer(sk1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f22,plain,
    ~ efficient_producer(sk1),
    inference(subsumption_resolution,[],[f21,f5]) ).

fof(f21,plain,
    ( ~ founding_time(sk1,sk2)
    | ~ efficient_producer(sk1) ),
    inference(subsumption_resolution,[],[f20,f4]) ).

fof(f20,plain,
    ( ~ organisation_at_time(sk1,sk2)
    | ~ founding_time(sk1,sk2)
    | ~ efficient_producer(sk1) ),
    inference(resolution,[],[f2,f7]) ).

fof(f7,axiom,
    ~ has_elaborated_routines(sk1,sk2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a16_7) ).

fof(f2,axiom,
    ! [X0,X1] :
      ( has_elaborated_routines(X0,X1)
      | ~ founding_time(X0,X1)
      | ~ organisation_at_time(X0,X1)
      | ~ efficient_producer(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a14_2) ).

fof(f18,plain,
    ( spl0_1
    | spl0_2 ),
    inference(avatar_split_clause,[],[f9,f15,f11]) ).

fof(f9,plain,
    ( first_mover(sk1)
    | efficient_producer(sk1) ),
    inference(resolution,[],[f8,f4]) ).

fof(f8,axiom,
    ! [X0,X1] :
      ( ~ organisation_at_time(X0,X1)
      | first_mover(X0)
      | efficient_producer(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_t10_8) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.14  % Problem    : MGT041-2 : TPTP v8.1.0. Released v2.4.0.
% 0.09/0.15  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.15/0.37  % Computer : n014.cluster.edu
% 0.15/0.37  % Model    : x86_64 x86_64
% 0.15/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37  % Memory   : 8042.1875MB
% 0.15/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37  % CPULimit   : 300
% 0.15/0.37  % WCLimit    : 300
% 0.15/0.37  % DateTime   : Tue Aug 30 03:22:18 EDT 2022
% 0.15/0.37  % CPUTime    : 
% 0.23/0.53  % (2308)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)
% 0.23/0.53  % (2324)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.23/0.53  % (2321)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.23/0.53  % (2324)First to succeed.
% 0.23/0.54  % (2324)Refutation found. Thanks to Tanya!
% 0.23/0.54  % SZS status Unsatisfiable for theBenchmark
% 0.23/0.54  % SZS output start Proof for theBenchmark
% See solution above
% 0.23/0.54  % (2324)------------------------------
% 0.23/0.54  % (2324)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.23/0.54  % (2324)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.23/0.54  % (2324)Termination reason: Refutation
% 0.23/0.54  
% 0.23/0.54  % (2324)Memory used [KB]: 5373
% 0.23/0.54  % (2324)Time elapsed: 0.116 s
% 0.23/0.54  % (2324)Instructions burned: 1 (million)
% 0.23/0.54  % (2324)------------------------------
% 0.23/0.54  % (2324)------------------------------
% 0.23/0.54  % (2305)Success in time 0.158 s
%------------------------------------------------------------------------------