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

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : MGT041+2 : TPTP v8.1.0. Released v2.0.0.
% 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 : n018.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 17:51:07 EDT 2022

% Result   : Theorem 0.19s 0.48s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   37 (   8 unt;   0 def)
%            Number of atoms       :  110 (   0 equ)
%            Maximal formula atoms :    8 (   2 avg)
%            Number of connectives :  135 (  62   ~;  41   |;  28   &)
%                                         (   0 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   5 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    7 (   6 usr;   1 prp; 0-3 aty)
%            Number of functors    :    4 (   4 usr;   4 con; 0-0 aty)
%            Number of variables   :   52 (  40   !;  12   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f37,plain,
    $false,
    inference(resolution,[],[f36,f25]) ).

fof(f25,plain,
    organisation_at_time(sK1,sK0),
    inference(cnf_transformation,[],[f19]) ).

fof(f19,plain,
    ( number_of_routines(sK1,sK0,high)
    & organisation_at_time(sK1,sK0)
    & founding_time(sK1,sK0)
    & ~ has_elaborated_routines(sK1,sK0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f17,f18]) ).

fof(f18,plain,
    ( ? [X0,X1] :
        ( number_of_routines(X1,X0,high)
        & organisation_at_time(X1,X0)
        & founding_time(X1,X0)
        & ~ has_elaborated_routines(X1,X0) )
   => ( number_of_routines(sK1,sK0,high)
      & organisation_at_time(sK1,sK0)
      & founding_time(sK1,sK0)
      & ~ has_elaborated_routines(sK1,sK0) ) ),
    introduced(choice_axiom,[]) ).

fof(f17,plain,
    ? [X0,X1] :
      ( number_of_routines(X1,X0,high)
      & organisation_at_time(X1,X0)
      & founding_time(X1,X0)
      & ~ has_elaborated_routines(X1,X0) ),
    inference(rectify,[],[f4]) ).

fof(f4,axiom,
    ? [X1,X0] :
      ( number_of_routines(X0,X1,high)
      & organisation_at_time(X0,X1)
      & founding_time(X0,X1)
      & ~ has_elaborated_routines(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a16) ).

fof(f36,plain,
    ! [X0] : ~ organisation_at_time(sK1,X0),
    inference(subsumption_resolution,[],[f35,f25]) ).

fof(f35,plain,
    ! [X0] :
      ( ~ organisation_at_time(sK1,X0)
      | ~ organisation_at_time(sK1,sK0) ),
    inference(subsumption_resolution,[],[f34,f28]) ).

fof(f28,plain,
    ~ number_of_routines(sK1,sK0,low),
    inference(resolution,[],[f26,f20]) ).

fof(f20,plain,
    ! [X0,X1] :
      ( ~ number_of_routines(X1,X0,high)
      | ~ number_of_routines(X1,X0,low) ),
    inference(cnf_transformation,[],[f15]) ).

fof(f15,plain,
    ! [X0,X1] :
      ( ~ number_of_routines(X1,X0,low)
      | ~ number_of_routines(X1,X0,high) ),
    inference(rectify,[],[f12]) ).

fof(f12,plain,
    ! [X1,X0] :
      ( ~ number_of_routines(X0,X1,low)
      | ~ number_of_routines(X0,X1,high) ),
    inference(ennf_transformation,[],[f1]) ).

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

fof(f26,plain,
    number_of_routines(sK1,sK0,high),
    inference(cnf_transformation,[],[f19]) ).

fof(f34,plain,
    ! [X0] :
      ( number_of_routines(sK1,sK0,low)
      | ~ organisation_at_time(sK1,sK0)
      | ~ organisation_at_time(sK1,X0) ),
    inference(resolution,[],[f33,f24]) ).

fof(f24,plain,
    founding_time(sK1,sK0),
    inference(cnf_transformation,[],[f19]) ).

fof(f33,plain,
    ! [X0,X1] :
      ( ~ founding_time(sK1,X0)
      | ~ organisation_at_time(sK1,X0)
      | number_of_routines(sK1,X0,low)
      | ~ organisation_at_time(sK1,X1) ),
    inference(resolution,[],[f32,f31]) ).

fof(f31,plain,
    ~ efficient_producer(sK1),
    inference(subsumption_resolution,[],[f30,f25]) ).

fof(f30,plain,
    ( ~ organisation_at_time(sK1,sK0)
    | ~ efficient_producer(sK1) ),
    inference(subsumption_resolution,[],[f29,f24]) ).

fof(f29,plain,
    ( ~ founding_time(sK1,sK0)
    | ~ organisation_at_time(sK1,sK0)
    | ~ efficient_producer(sK1) ),
    inference(resolution,[],[f27,f23]) ).

fof(f23,plain,
    ~ has_elaborated_routines(sK1,sK0),
    inference(cnf_transformation,[],[f19]) ).

fof(f27,plain,
    ! [X0,X1] :
      ( has_elaborated_routines(X0,X1)
      | ~ founding_time(X0,X1)
      | ~ organisation_at_time(X0,X1)
      | ~ efficient_producer(X0) ),
    inference(cnf_transformation,[],[f14]) ).

fof(f14,plain,
    ! [X0,X1] :
      ( has_elaborated_routines(X0,X1)
      | ~ organisation_at_time(X0,X1)
      | ~ founding_time(X0,X1)
      | ~ efficient_producer(X0) ),
    inference(flattening,[],[f13]) ).

fof(f13,plain,
    ! [X0,X1] :
      ( has_elaborated_routines(X0,X1)
      | ~ efficient_producer(X0)
      | ~ organisation_at_time(X0,X1)
      | ~ founding_time(X0,X1) ),
    inference(ennf_transformation,[],[f2]) ).

fof(f2,axiom,
    ! [X0,X1] :
      ( ( efficient_producer(X0)
        & organisation_at_time(X0,X1)
        & founding_time(X0,X1) )
     => has_elaborated_routines(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a14) ).

fof(f32,plain,
    ! [X2,X0,X1] :
      ( efficient_producer(X0)
      | ~ organisation_at_time(X0,X1)
      | ~ organisation_at_time(X0,X2)
      | ~ founding_time(X0,X1)
      | number_of_routines(X0,X1,low) ),
    inference(resolution,[],[f22,f21]) ).

fof(f21,plain,
    ! [X0,X1] :
      ( first_mover(X1)
      | ~ organisation_at_time(X1,X0)
      | efficient_producer(X1) ),
    inference(cnf_transformation,[],[f11]) ).

fof(f11,plain,
    ! [X0,X1] :
      ( ~ organisation_at_time(X1,X0)
      | first_mover(X1)
      | efficient_producer(X1) ),
    inference(ennf_transformation,[],[f7]) ).

fof(f7,plain,
    ~ ? [X1,X0] :
        ( ~ efficient_producer(X1)
        & ~ first_mover(X1)
        & organisation_at_time(X1,X0) ),
    inference(rectify,[],[f6]) ).

fof(f6,negated_conjecture,
    ~ ? [X1,X0] :
        ( organisation_at_time(X0,X1)
        & ~ efficient_producer(X0)
        & ~ first_mover(X0) ),
    inference(negated_conjecture,[],[f5]) ).

fof(f5,conjecture,
    ? [X1,X0] :
      ( organisation_at_time(X0,X1)
      & ~ efficient_producer(X0)
      & ~ first_mover(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_t10) ).

fof(f22,plain,
    ! [X0,X1] :
      ( ~ first_mover(X0)
      | ~ organisation_at_time(X0,X1)
      | number_of_routines(X0,X1,low)
      | ~ founding_time(X0,X1) ),
    inference(cnf_transformation,[],[f16]) ).

fof(f16,plain,
    ! [X0,X1] :
      ( ~ organisation_at_time(X0,X1)
      | ~ first_mover(X0)
      | ~ founding_time(X0,X1)
      | number_of_routines(X0,X1,low) ),
    inference(rectify,[],[f10]) ).

fof(f10,plain,
    ! [X1,X0] :
      ( ~ organisation_at_time(X1,X0)
      | ~ first_mover(X1)
      | ~ founding_time(X1,X0)
      | number_of_routines(X1,X0,low) ),
    inference(flattening,[],[f9]) ).

fof(f9,plain,
    ! [X1,X0] :
      ( number_of_routines(X1,X0,low)
      | ~ founding_time(X1,X0)
      | ~ first_mover(X1)
      | ~ organisation_at_time(X1,X0) ),
    inference(ennf_transformation,[],[f8]) ).

fof(f8,plain,
    ! [X1,X0] :
      ( ( founding_time(X1,X0)
        & first_mover(X1)
        & organisation_at_time(X1,X0) )
     => number_of_routines(X1,X0,low) ),
    inference(rectify,[],[f3]) ).

fof(f3,axiom,
    ! [X1,X0] :
      ( ( first_mover(X0)
        & founding_time(X0,X1)
        & organisation_at_time(X0,X1) )
     => number_of_routines(X0,X1,low) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a15) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem    : MGT041+2 : TPTP v8.1.0. Released v2.0.0.
% 0.10/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.34  % Computer : n018.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit   : 300
% 0.12/0.34  % WCLimit    : 300
% 0.12/0.34  % DateTime   : Tue Aug 30 03:25:25 EDT 2022
% 0.12/0.34  % CPUTime    : 
% 0.19/0.45  % (21823)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.19/0.47  % (21823)First to succeed.
% 0.19/0.47  % (21825)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.19/0.47  % (21847)lrs-11_1:1_nm=0:sac=on:sd=4:ss=axioms:st=3.0:i=24:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/24Mi)
% 0.19/0.48  % (21839)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.48  % (21818)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.19/0.48  % (21818)Also succeeded, but the first one will report.
% 0.19/0.48  % (21823)Refutation found. Thanks to Tanya!
% 0.19/0.48  % SZS status Theorem for theBenchmark
% 0.19/0.48  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.48  % (21823)------------------------------
% 0.19/0.48  % (21823)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.48  % (21823)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.48  % (21823)Termination reason: Refutation
% 0.19/0.48  
% 0.19/0.48  % (21823)Memory used [KB]: 1407
% 0.19/0.48  % (21823)Time elapsed: 0.084 s
% 0.19/0.48  % (21823)Instructions burned: 2 (million)
% 0.19/0.48  % (21823)------------------------------
% 0.19/0.48  % (21823)------------------------------
% 0.19/0.48  % (21817)Success in time 0.133 s
%------------------------------------------------------------------------------