TSTP Solution File: KRS178+1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : KRS178+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 : n025.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 17:29:57 EDT 2022

% Result   : Theorem 0.19s 0.52s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   18 (   7 unt;   0 def)
%            Number of atoms       :   37 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   31 (  12   ~;   6   |;   5   &)
%                                         (   2 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :    3 (   3 usr;   1 con; 0-2 aty)
%            Number of variables   :   36 (  28   !;   8   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f99,plain,
    $false,
    inference(resolution,[],[f98,f70]) ).

fof(f70,plain,
    ~ isa(sK5,sK5),
    inference(cnf_transformation,[],[f43]) ).

fof(f43,plain,
    ~ isa(sK5,sK5),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK5])],[f31,f42]) ).

fof(f42,plain,
    ( ? [X0] : ~ isa(X0,X0)
   => ~ isa(sK5,sK5) ),
    introduced(choice_axiom,[]) ).

fof(f31,plain,
    ? [X0] : ~ isa(X0,X0),
    inference(ennf_transformation,[],[f15]) ).

fof(f15,negated_conjecture,
    ~ ! [X0] : isa(X0,X0),
    inference(negated_conjecture,[],[f14]) ).

fof(f14,conjecture,
    ! [X0] : isa(X0,X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',isa_reflexive) ).

fof(f98,plain,
    ! [X0] : isa(X0,X0),
    inference(duplicate_literal_removal,[],[f97]) ).

fof(f97,plain,
    ! [X0] :
      ( isa(X0,X0)
      | isa(X0,X0) ),
    inference(resolution,[],[f67,f66]) ).

fof(f66,plain,
    ! [X0,X1] :
      ( ~ status(sK0(X0,X1),sK1(X0,X1),X1)
      | isa(X0,X1) ),
    inference(cnf_transformation,[],[f36]) ).

fof(f36,plain,
    ! [X0,X1] :
      ( isa(X0,X1)
      | ( status(sK0(X0,X1),sK1(X0,X1),X0)
        & ~ status(sK0(X0,X1),sK1(X0,X1),X1) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f34,f35]) ).

fof(f35,plain,
    ! [X0,X1] :
      ( ? [X2,X3] :
          ( status(X2,X3,X0)
          & ~ status(X2,X3,X1) )
     => ( status(sK0(X0,X1),sK1(X0,X1),X0)
        & ~ status(sK0(X0,X1),sK1(X0,X1),X1) ) ),
    introduced(choice_axiom,[]) ).

fof(f34,plain,
    ! [X0,X1] :
      ( isa(X0,X1)
      | ? [X2,X3] :
          ( status(X2,X3,X0)
          & ~ status(X2,X3,X1) ) ),
    inference(rectify,[],[f29]) ).

fof(f29,plain,
    ! [X1,X0] :
      ( isa(X1,X0)
      | ? [X2,X3] :
          ( status(X2,X3,X1)
          & ~ status(X2,X3,X0) ) ),
    inference(ennf_transformation,[],[f28]) ).

fof(f28,plain,
    ! [X0,X1] :
      ( ! [X2,X3] :
          ( status(X2,X3,X1)
         => status(X2,X3,X0) )
     => isa(X1,X0) ),
    inference(unused_predicate_definition_removal,[],[f23]) ).

fof(f23,plain,
    ! [X0,X1] :
      ( isa(X1,X0)
    <=> ! [X2,X3] :
          ( status(X2,X3,X1)
         => status(X2,X3,X0) ) ),
    inference(rectify,[],[f2]) ).

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

fof(f67,plain,
    ! [X0,X1] :
      ( status(sK0(X0,X1),sK1(X0,X1),X0)
      | isa(X0,X1) ),
    inference(cnf_transformation,[],[f36]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : KRS178+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% 0.03/0.13  % 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 : n025.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 00:44:14 EDT 2022
% 0.12/0.34  % CPUTime    : 
% 0.19/0.51  % (2015)lrs+10_1:2_br=off:nm=4:ss=included:urr=on:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.51  % (2011)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)
% 0.19/0.52  % (2016)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)
% 0.19/0.52  % (2004)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.19/0.52  % (2004)First to succeed.
% 0.19/0.52  % (2005)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.19/0.52  % (2004)Refutation found. Thanks to Tanya!
% 0.19/0.52  % SZS status Theorem for theBenchmark
% 0.19/0.52  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.52  % (2004)------------------------------
% 0.19/0.52  % (2004)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52  % (2004)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52  % (2004)Termination reason: Refutation
% 0.19/0.52  
% 0.19/0.52  % (2004)Memory used [KB]: 5884
% 0.19/0.52  % (2004)Time elapsed: 0.120 s
% 0.19/0.52  % (2004)Instructions burned: 2 (million)
% 0.19/0.52  % (2004)------------------------------
% 0.19/0.52  % (2004)------------------------------
% 0.19/0.52  % (2003)Success in time 0.173 s
%------------------------------------------------------------------------------