TSTP Solution File: KRS201+1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : KRS201+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% 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 : n003.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 17:30:02 EDT 2022

% Result   : Theorem 0.18s 0.49s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   30 (  11 unt;   0 def)
%            Number of atoms       :   67 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   59 (  22   ~;  17   |;   7   &)
%                                         (   8 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   5 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-3 aty)
%            Number of functors    :    6 (   6 usr;   6 con; 0-0 aty)
%            Number of variables   :   76 (  55   !;  21   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f315,plain,
    $false,
    inference(resolution,[],[f291,f96]) ).

fof(f96,plain,
    ~ model(sK13,sK12),
    inference(cnf_transformation,[],[f56]) ).

fof(f56,plain,
    ? [X1,X0,X2] :
      ( ? [X3] : model(X3,X0)
      & ~ model(X2,X0)
      & model(X2,X1) ),
    inference(rectify,[],[f32]) ).

fof(f32,axiom,
    ? [X1,X0,X2] :
      ( ? [X3] : model(X3,X1)
      & model(X2,X0)
      & ~ model(X2,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',non_thm_spt) ).

fof(f291,plain,
    ! [X2] : model(X2,sK12),
    inference(resolution,[],[f266,f97]) ).

fof(f97,plain,
    model(sK14,sK12),
    inference(cnf_transformation,[],[f56]) ).

fof(f266,plain,
    ! [X2,X0,X1] :
      ( ~ model(X2,X1)
      | model(X0,X1) ),
    inference(resolution,[],[f262,f88]) ).

fof(f88,plain,
    ! [X1] : model(X1,sK6),
    inference(cnf_transformation,[],[f58]) ).

fof(f58,plain,
    ? [X0] :
    ! [X1] : model(X1,X0),
    inference(rectify,[],[f27]) ).

fof(f27,axiom,
    ? [X9] :
    ! [X8] : model(X8,X9),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tautology) ).

fof(f262,plain,
    ! [X8,X6,X7,X5] :
      ( ~ model(X7,X8)
      | model(X7,X6)
      | ~ model(X5,X6) ),
    inference(subsumption_resolution,[],[f260,f144]) ).

fof(f144,plain,
    ~ nota(sap,thm),
    inference(cnf_transformation,[],[f35]) ).

fof(f35,plain,
    ~ nota(sap,thm),
    inference(flattening,[],[f34]) ).

fof(f34,negated_conjecture,
    ~ nota(sap,thm),
    inference(negated_conjecture,[],[f33]) ).

fof(f33,conjecture,
    nota(sap,thm),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',nota_sap_thm) ).

fof(f260,plain,
    ! [X8,X6,X7,X5] :
      ( nota(sap,thm)
      | model(X7,X6)
      | ~ model(X5,X6)
      | ~ model(X7,X8) ),
    inference(resolution,[],[f196,f134]) ).

fof(f134,plain,
    ! [X2,X0,X1] :
      ( ~ status(X1,X0,thm)
      | ~ model(X2,X1)
      | model(X2,X0) ),
    inference(cnf_transformation,[],[f66]) ).

fof(f66,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( model(X2,X0)
          | ~ model(X2,X1) )
    <=> status(X1,X0,thm) ),
    inference(ennf_transformation,[],[f37]) ).

fof(f37,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( model(X2,X1)
         => model(X2,X0) )
    <=> status(X1,X0,thm) ),
    inference(rectify,[],[f5]) ).

fof(f5,axiom,
    ! [X1,X0] :
      ( ! [X2] :
          ( model(X2,X0)
         => model(X2,X1) )
    <=> status(X0,X1,thm) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm) ).

fof(f196,plain,
    ! [X3,X6,X4,X5] :
      ( status(X4,X5,X3)
      | nota(sap,X3)
      | ~ model(X6,X5) ),
    inference(resolution,[],[f131,f99]) ).

fof(f99,plain,
    ! [X3,X0,X1] :
      ( status(X1,X0,sap)
      | ~ model(X3,X0) ),
    inference(cnf_transformation,[],[f71]) ).

fof(f71,plain,
    ! [X1,X0] :
      ( ( ? [X3] : model(X3,X0)
        | ! [X2] : ~ model(X2,X1) )
    <=> status(X1,X0,sap) ),
    inference(ennf_transformation,[],[f38]) ).

fof(f38,plain,
    ! [X1,X0] :
      ( status(X1,X0,sap)
    <=> ( ? [X2] : model(X2,X1)
       => ? [X3] : model(X3,X0) ) ),
    inference(rectify,[],[f2]) ).

fof(f2,axiom,
    ! [X1,X0] :
      ( status(X0,X1,sap)
    <=> ( ? [X2] : model(X2,X0)
       => ? [X3] : model(X3,X1) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sap) ).

fof(f131,plain,
    ! [X2,X3,X0,X1] :
      ( ~ status(X3,X2,X0)
      | nota(X0,X1)
      | status(X3,X2,X1) ),
    inference(cnf_transformation,[],[f69]) ).

fof(f69,plain,
    ! [X0,X1] :
      ( ! [X3,X2] :
          ( status(X3,X2,X1)
          | ~ status(X3,X2,X0) )
      | nota(X0,X1) ),
    inference(ennf_transformation,[],[f61]) ).

fof(f61,plain,
    ! [X0,X1] :
      ( ? [X2,X3] :
          ( status(X3,X2,X0)
          & ~ status(X3,X2,X1) )
     => nota(X0,X1) ),
    inference(unused_predicate_definition_removal,[],[f36]) ).

fof(f36,plain,
    ! [X0,X1] :
      ( ? [X2,X3] :
          ( status(X3,X2,X0)
          & ~ status(X3,X2,X1) )
    <=> nota(X0,X1) ),
    inference(rectify,[],[f22]) ).

fof(f22,axiom,
    ! [X6,X7] :
      ( ? [X1,X0] :
          ( status(X0,X1,X6)
          & ~ status(X0,X1,X7) )
    <=> nota(X6,X7) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',nota) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem    : KRS201+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% 0.10/0.11  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.10/0.33  % Computer : n003.cluster.edu
% 0.10/0.33  % Model    : x86_64 x86_64
% 0.10/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.33  % Memory   : 8042.1875MB
% 0.10/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.33  % CPULimit   : 300
% 0.10/0.33  % WCLimit    : 300
% 0.10/0.33  % DateTime   : Tue Aug 30 00:36:37 EDT 2022
% 0.10/0.33  % CPUTime    : 
% 0.18/0.47  % (27038)lrs+10_1:4_av=off:bs=unit_only:bsr=unit_only:ep=RS:s2a=on:sos=on:sp=frequency:to=lpo:i=16:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.18/0.47  % (27038)Refutation not found, incomplete strategy% (27038)------------------------------
% 0.18/0.47  % (27038)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.48  % (27046)dis+1010_1:1_bs=on:ep=RS:erd=off:newcnf=on:nwc=10.0:s2a=on:sgt=32:ss=axioms:i=30:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/30Mi)
% 0.18/0.48  % (27038)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.48  % (27038)Termination reason: Refutation not found, incomplete strategy
% 0.18/0.48  
% 0.18/0.48  % (27038)Memory used [KB]: 1663
% 0.18/0.48  % (27038)Time elapsed: 0.084 s
% 0.18/0.48  % (27038)Instructions burned: 5 (million)
% 0.18/0.48  % (27038)------------------------------
% 0.18/0.48  % (27038)------------------------------
% 0.18/0.49  % (27046)First to succeed.
% 0.18/0.49  % (27046)Refutation found. Thanks to Tanya!
% 0.18/0.49  % SZS status Theorem for theBenchmark
% 0.18/0.49  % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.49  % (27046)------------------------------
% 0.18/0.49  % (27046)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.49  % (27046)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.49  % (27046)Termination reason: Refutation
% 0.18/0.49  
% 0.18/0.49  % (27046)Memory used [KB]: 6140
% 0.18/0.49  % (27046)Time elapsed: 0.098 s
% 0.18/0.49  % (27046)Instructions burned: 8 (million)
% 0.18/0.49  % (27046)------------------------------
% 0.18/0.49  % (27046)------------------------------
% 0.18/0.49  % (27025)Success in time 0.154 s
%------------------------------------------------------------------------------