TSTP Solution File: SET064+1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SET064+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 : n005.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 18:18:52 EDT 2022

% Result   : Theorem 1.22s 0.56s
% Output   : Refutation 1.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   16 (   4 unt;   0 def)
%            Number of atoms       :   42 (  14 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :   40 (  14   ~;   6   |;  16   &)
%                                         (   0 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   3 con; 0-1 aty)
%            Number of variables   :   23 (  14   !;   9   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f309,plain,
    $false,
    inference(subsumption_resolution,[],[f308,f235]) ).

fof(f235,plain,
    null_class != sK6,
    inference(cnf_transformation,[],[f150]) ).

fof(f150,plain,
    ( ! [X1] : ~ member(X1,sK6)
    & null_class != sK6 ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK6])],[f84,f149]) ).

fof(f149,plain,
    ( ? [X0] :
        ( ! [X1] : ~ member(X1,X0)
        & null_class != X0 )
   => ( ! [X1] : ~ member(X1,sK6)
      & null_class != sK6 ) ),
    introduced(choice_axiom,[]) ).

fof(f84,plain,
    ? [X0] :
      ( ! [X1] : ~ member(X1,X0)
      & null_class != X0 ),
    inference(ennf_transformation,[],[f70]) ).

fof(f70,plain,
    ~ ! [X0] :
        ( null_class = X0
        | ? [X1] : member(X1,X0) ),
    inference(rectify,[],[f45]) ).

fof(f45,negated_conjecture,
    ~ ! [X4] :
        ( null_class = X4
        | ? [X1] : member(X1,X4) ),
    inference(negated_conjecture,[],[f44]) ).

fof(f44,conjecture,
    ! [X4] :
      ( null_class = X4
      | ? [X1] : member(X1,X4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',null_class_is_unique) ).

fof(f308,plain,
    null_class = sK6,
    inference(resolution,[],[f217,f236]) ).

fof(f236,plain,
    ! [X1] : ~ member(X1,sK6),
    inference(cnf_transformation,[],[f150]) ).

fof(f217,plain,
    ! [X0] :
      ( member(sK5(X0),X0)
      | null_class = X0 ),
    inference(cnf_transformation,[],[f140]) ).

fof(f140,plain,
    ! [X0] :
      ( ( member(sK5(X0),X0)
        & member(sK5(X0),universal_class)
        & disjoint(sK5(X0),X0) )
      | null_class = X0 ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK5])],[f83,f139]) ).

fof(f139,plain,
    ! [X0] :
      ( ? [X1] :
          ( member(X1,X0)
          & member(X1,universal_class)
          & disjoint(X1,X0) )
     => ( member(sK5(X0),X0)
        & member(sK5(X0),universal_class)
        & disjoint(sK5(X0),X0) ) ),
    introduced(choice_axiom,[]) ).

fof(f83,plain,
    ! [X0] :
      ( ? [X1] :
          ( member(X1,X0)
          & member(X1,universal_class)
          & disjoint(X1,X0) )
      | null_class = X0 ),
    inference(ennf_transformation,[],[f67]) ).

fof(f67,plain,
    ! [X0] :
      ( null_class != X0
     => ? [X1] :
          ( member(X1,X0)
          & member(X1,universal_class)
          & disjoint(X1,X0) ) ),
    inference(rectify,[],[f41]) ).

fof(f41,axiom,
    ! [X0] :
      ( null_class != X0
     => ? [X2] :
          ( member(X2,X0)
          & member(X2,universal_class)
          & disjoint(X2,X0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',regularity) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.14  % Problem    : SET064+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% 0.06/0.15  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.15/0.36  % Computer : n005.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit   : 300
% 0.15/0.36  % WCLimit    : 300
% 0.15/0.36  % DateTime   : Tue Aug 30 13:05:33 EDT 2022
% 0.15/0.36  % CPUTime    : 
% 0.21/0.51  % (14926)lrs+11_1:1_plsq=on:plsqc=1:plsqr=32,1:ss=included:i=95:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/95Mi)
% 0.21/0.52  % (14907)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.21/0.52  % (14926)Refutation not found, incomplete strategy% (14926)------------------------------
% 0.21/0.52  % (14926)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.52  % (14926)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.52  % (14926)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.52  
% 0.21/0.52  % (14926)Memory used [KB]: 5884
% 0.21/0.52  % (14926)Time elapsed: 0.084 s
% 0.21/0.52  % (14926)Instructions burned: 2 (million)
% 0.21/0.52  % (14926)------------------------------
% 0.21/0.52  % (14926)------------------------------
% 0.21/0.52  % (14907)Refutation not found, incomplete strategy% (14907)------------------------------
% 0.21/0.52  % (14907)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.52  % (14907)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.52  % (14907)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.52  
% 0.21/0.52  % (14907)Memory used [KB]: 5884
% 0.21/0.52  % (14907)Time elapsed: 0.071 s
% 0.21/0.52  % (14907)Instructions burned: 2 (million)
% 0.21/0.52  % (14907)------------------------------
% 0.21/0.52  % (14907)------------------------------
% 0.21/0.55  % (14901)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.21/0.55  % (14901)First to succeed.
% 0.21/0.55  % (14908)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)
% 0.21/0.55  % (14908)Refutation not found, incomplete strategy% (14908)------------------------------
% 0.21/0.55  % (14908)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.55  % (14908)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.55  % (14908)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.55  
% 0.21/0.55  % (14908)Memory used [KB]: 5884
% 0.21/0.55  % (14908)Time elapsed: 0.089 s
% 0.21/0.55  % (14908)------------------------------
% 0.21/0.55  % (14908)------------------------------
% 0.21/0.55  % (14917)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.21/0.55  % (14927)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.22/0.55  % (14909)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 1.22/0.56  % (14919)ott+1010_1:1_sd=2:sos=on:sp=occurrence:ss=axioms:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.22/0.56  % (14919)Refutation not found, incomplete strategy% (14919)------------------------------
% 1.22/0.56  % (14919)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.22/0.56  % (14919)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.22/0.56  % (14919)Termination reason: Refutation not found, incomplete strategy
% 1.22/0.56  
% 1.22/0.56  % (14919)Memory used [KB]: 5884
% 1.22/0.56  % (14919)Time elapsed: 0.135 s
% 1.22/0.56  % (14919)------------------------------
% 1.22/0.56  % (14919)------------------------------
% 1.22/0.56  % (14924)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 1.22/0.56  % (14901)Refutation found. Thanks to Tanya!
% 1.22/0.56  % SZS status Theorem for theBenchmark
% 1.22/0.56  % SZS output start Proof for theBenchmark
% See solution above
% 1.22/0.56  % (14901)------------------------------
% 1.22/0.56  % (14901)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.22/0.56  % (14901)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.22/0.56  % (14901)Termination reason: Refutation
% 1.22/0.56  
% 1.22/0.56  % (14901)Memory used [KB]: 6140
% 1.22/0.56  % (14901)Time elapsed: 0.117 s
% 1.22/0.56  % (14901)Instructions burned: 5 (million)
% 1.22/0.56  % (14901)------------------------------
% 1.22/0.56  % (14901)------------------------------
% 1.22/0.56  % (14900)Success in time 0.189 s
%------------------------------------------------------------------------------