TSTP Solution File: KRS186+1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : KRS186+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 : n002.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 17:29:59 EDT 2022

% Result   : Theorem 0.15s 0.50s
% Output   : Refutation 0.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   22 (   9 unt;   0 def)
%            Number of atoms       :   46 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   35 (  11   ~;   8   |;   3   &)
%                                         (   8 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-3 aty)
%            Number of functors    :    5 (   5 usr;   2 con; 0-2 aty)
%            Number of variables   :   41 (  37   !;   4   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f201,plain,
    $false,
    inference(unit_resulting_resolution,[],[f73,f79,f80,f62]) ).

fof(f62,plain,
    ! [X3,X0,X1] :
      ( ~ status(X1,X0,eqv)
      | ~ model(X3,X1)
      | model(X3,X0) ),
    inference(cnf_transformation,[],[f37]) ).

fof(f37,plain,
    ! [X1,X0] :
      ( ( ? [X2] : model(X2,X1)
        & ! [X3] :
            ( model(X3,X0)
          <=> model(X3,X1) ) )
    <=> status(X1,X0,eqv) ),
    inference(rectify,[],[f6]) ).

fof(f6,axiom,
    ! [X1,X0] :
      ( ( ? [X2] : model(X2,X0)
        & ! [X3] :
            ( model(X3,X1)
          <=> model(X3,X0) ) )
    <=> status(X0,X1,eqv) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',eqv) ).

fof(f80,plain,
    ~ model(sK9(sK0(eqv,thm),sK1(eqv,thm)),sK1(eqv,thm)),
    inference(unit_resulting_resolution,[],[f74,f55]) ).

fof(f55,plain,
    ! [X0,X1] :
      ( ~ model(sK9(X0,X1),X1)
      | status(X0,X1,thm) ),
    inference(cnf_transformation,[],[f46]) ).

fof(f46,plain,
    ! [X1,X0] :
      ( status(X0,X1,thm)
    <=> ! [X2] :
          ( ~ model(X2,X0)
          | model(X2,X1) ) ),
    inference(ennf_transformation,[],[f5]) ).

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

fof(f74,plain,
    ~ status(sK0(eqv,thm),sK1(eqv,thm),thm),
    inference(unit_resulting_resolution,[],[f57,f48]) ).

fof(f48,plain,
    ! [X0,X1] :
      ( ~ status(sK0(X0,X1),sK1(X0,X1),X1)
      | isa(X0,X1) ),
    inference(cnf_transformation,[],[f44]) ).

fof(f44,plain,
    ! [X0,X1] :
      ( isa(X0,X1)
      | ? [X2,X3] :
          ( ~ status(X2,X3,X1)
          & status(X2,X3,X0) ) ),
    inference(ennf_transformation,[],[f43]) ).

fof(f43,plain,
    ! [X1,X0] :
      ( ! [X2,X3] :
          ( status(X2,X3,X0)
         => status(X2,X3,X1) )
     => isa(X0,X1) ),
    inference(unused_predicate_definition_removal,[],[f36]) ).

fof(f36,plain,
    ! [X1,X0] :
      ( ! [X2,X3] :
          ( status(X2,X3,X0)
         => status(X2,X3,X1) )
    <=> isa(X0,X1) ),
    inference(rectify,[],[f21]) ).

fof(f21,axiom,
    ! [X6,X7] :
      ( isa(X6,X7)
    <=> ! [X0,X1] :
          ( status(X0,X1,X6)
         => status(X0,X1,X7) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',isa) ).

fof(f57,plain,
    ~ isa(eqv,thm),
    inference(cnf_transformation,[],[f35]) ).

fof(f35,plain,
    ~ isa(eqv,thm),
    inference(flattening,[],[f34]) ).

fof(f34,negated_conjecture,
    ~ isa(eqv,thm),
    inference(negated_conjecture,[],[f33]) ).

fof(f33,conjecture,
    isa(eqv,thm),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',isa_eqv_thm) ).

fof(f79,plain,
    model(sK9(sK0(eqv,thm),sK1(eqv,thm)),sK0(eqv,thm)),
    inference(unit_resulting_resolution,[],[f74,f56]) ).

fof(f56,plain,
    ! [X0,X1] :
      ( status(X0,X1,thm)
      | model(sK9(X0,X1),X0) ),
    inference(cnf_transformation,[],[f46]) ).

fof(f73,plain,
    status(sK0(eqv,thm),sK1(eqv,thm),eqv),
    inference(unit_resulting_resolution,[],[f57,f47]) ).

fof(f47,plain,
    ! [X0,X1] :
      ( status(sK0(X0,X1),sK1(X0,X1),X0)
      | isa(X0,X1) ),
    inference(cnf_transformation,[],[f44]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.12  % Problem    : KRS186+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% 0.05/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.09/0.33  % Computer : n002.cluster.edu
% 0.09/0.33  % Model    : x86_64 x86_64
% 0.09/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.33  % Memory   : 8042.1875MB
% 0.09/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.33  % CPULimit   : 300
% 0.09/0.33  % WCLimit    : 300
% 0.09/0.33  % DateTime   : Tue Aug 30 00:47:43 EDT 2022
% 0.09/0.33  % CPUTime    : 
% 0.15/0.48  % (6315)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)
% 0.15/0.48  % (6307)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)
% 0.15/0.49  % (6307)First to succeed.
% 0.15/0.49  % (6306)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)
% 0.15/0.49  % (6305)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)
% 0.15/0.49  % (6323)dis+21_1:1_ep=RS:nwc=10.0:s2a=on:s2at=1.5:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.15/0.50  % (6313)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.15/0.50  % (6314)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.15/0.50  % (6306)Also succeeded, but the first one will report.
% 0.15/0.50  % (6305)Also succeeded, but the first one will report.
% 0.15/0.50  % (6322)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)
% 0.15/0.50  % (6307)Refutation found. Thanks to Tanya!
% 0.15/0.50  % SZS status Theorem for theBenchmark
% 0.15/0.50  % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.50  % (6307)------------------------------
% 0.15/0.50  % (6307)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.50  % (6307)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.50  % (6307)Termination reason: Refutation
% 0.15/0.50  
% 0.15/0.50  % (6307)Memory used [KB]: 6012
% 0.15/0.50  % (6307)Time elapsed: 0.097 s
% 0.15/0.50  % (6307)Instructions burned: 5 (million)
% 0.15/0.50  % (6307)------------------------------
% 0.15/0.50  % (6307)------------------------------
% 0.15/0.50  % (6298)Success in time 0.16 s
%------------------------------------------------------------------------------