TSTP Solution File: KRS178+1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : KRS178+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n009.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 : Sun May  5 07:19:56 EDT 2024

% Result   : Theorem 0.21s 0.39s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   16 (   7 unt;   0 def)
%            Number of atoms       :   31 (   0 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   26 (  11   ~;   5   |;   4   &)
%                                         (   1 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 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   :   28 (  22   !;   6   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f80,plain,
    $false,
    inference(resolution,[],[f79,f54]) ).

fof(f54,plain,
    ~ isa(sK0,sK0),
    inference(cnf_transformation,[],[f29]) ).

fof(f29,plain,
    ~ isa(sK0,sK0),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f25,f28]) ).

fof(f28,plain,
    ( ? [X0] : ~ isa(X0,X0)
   => ~ isa(sK0,sK0) ),
    introduced(choice_axiom,[]) ).

fof(f25,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/sandbox/benchmark/theBenchmark.p',isa_reflexive) ).

fof(f79,plain,
    ! [X0] : isa(X0,X0),
    inference(duplicate_literal_removal,[],[f78]) ).

fof(f78,plain,
    ! [X0] :
      ( isa(X0,X0)
      | isa(X0,X0) ),
    inference(resolution,[],[f58,f57]) ).

fof(f57,plain,
    ! [X0,X1] :
      ( status(sK1(X0,X1),sK2(X0,X1),X0)
      | isa(X0,X1) ),
    inference(cnf_transformation,[],[f32]) ).

fof(f32,plain,
    ! [X0,X1] :
      ( isa(X0,X1)
      | ( ~ status(sK1(X0,X1),sK2(X0,X1),X1)
        & status(sK1(X0,X1),sK2(X0,X1),X0) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2])],[f26,f31]) ).

fof(f31,plain,
    ! [X0,X1] :
      ( ? [X2,X3] :
          ( ~ status(X2,X3,X1)
          & status(X2,X3,X0) )
     => ( ~ status(sK1(X0,X1),sK2(X0,X1),X1)
        & status(sK1(X0,X1),sK2(X0,X1),X0) ) ),
    introduced(choice_axiom,[]) ).

fof(f26,plain,
    ! [X0,X1] :
      ( isa(X0,X1)
      | ? [X2,X3] :
          ( ~ status(X2,X3,X1)
          & status(X2,X3,X0) ) ),
    inference(ennf_transformation,[],[f24]) ).

fof(f24,plain,
    ! [X0,X1] :
      ( ! [X2,X3] :
          ( status(X2,X3,X0)
         => status(X2,X3,X1) )
     => isa(X0,X1) ),
    inference(unused_predicate_definition_removal,[],[f2]) ).

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

fof(f58,plain,
    ! [X0,X1] :
      ( ~ status(sK1(X0,X1),sK2(X0,X1),X1)
      | isa(X0,X1) ),
    inference(cnf_transformation,[],[f32]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem    : KRS178+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% 0.03/0.15  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.36  % Computer : n009.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit   : 300
% 0.14/0.36  % WCLimit    : 300
% 0.14/0.36  % DateTime   : Fri May  3 19:53:23 EDT 2024
% 0.14/0.36  % CPUTime    : 
% 0.14/0.37  % (29399)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.38  % (29400)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.21/0.38  % (29402)dis-2_2:3_amm=sco:anc=none:bce=on:fsr=off:gsp=on:nm=16:nwc=1.2:nicw=on:sac=on:sp=weighted_frequency_476 on theBenchmark for (476ds/0Mi)
% 0.21/0.38  % (29401)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.21/0.38  % (29403)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.21/0.38  % (29404)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.21/0.38  % (29405)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.21/0.38  % (29406)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_1451 on theBenchmark for (1451ds/0Mi)
% 0.21/0.38  TRYING [1]
% 0.21/0.38  TRYING [2]
% 0.21/0.38  Detected minimum model sizes of [1,1,1,1,1]
% 0.21/0.38  Detected maximum model sizes of [max,1,max,max,9]
% 0.21/0.38  Detected minimum model sizes of [1,1,1,1,1]
% 0.21/0.38  Detected maximum model sizes of [max,1,max,max,9]
% 0.21/0.38  % (29404)First to succeed.
% 0.21/0.38  TRYING [1,1,1,1,1]
% 0.21/0.38  TRYING [1,1,1,1,1]
% 0.21/0.38  TRYING [1]
% 0.21/0.38  % (29402)Also succeeded, but the first one will report.
% 0.21/0.38  % (29405)Also succeeded, but the first one will report.
% 0.21/0.39  % (29400)Also succeeded, but the first one will report.
% 0.21/0.39  % (29404)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-29399"
% 0.21/0.39  TRYING [2,1,1,1,2]
% 0.21/0.39  TRYING [2,1,1,1,2]
% 0.21/0.39  TRYING [2]
% 0.21/0.39  % (29406)Also succeeded, but the first one will report.
% 0.21/0.39  % (29404)Refutation found. Thanks to Tanya!
% 0.21/0.39  % SZS status Theorem for theBenchmark
% 0.21/0.39  % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.39  % (29404)------------------------------
% 0.21/0.39  % (29404)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.21/0.39  % (29404)Termination reason: Refutation
% 0.21/0.39  
% 0.21/0.39  % (29404)Memory used [KB]: 772
% 0.21/0.39  % (29404)Time elapsed: 0.004 s
% 0.21/0.39  % (29404)Instructions burned: 3 (million)
% 0.21/0.39  % (29399)Success in time 0.019 s
%------------------------------------------------------------------------------