TSTP Solution File: SWV386+1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SWV386+1 : TPTP v8.1.0. Released v3.3.0.
% 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 : n029.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 18:45:25 EDT 2022

% Result   : Theorem 1.29s 0.56s
% Output   : Refutation 1.29s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   16 (   3 unt;   0 def)
%            Number of atoms       :   41 (   0 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :   49 (  24   ~;   6   |;  12   &)
%                                         (   0 <=>;   7  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   6 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-1 aty)
%            Number of functors    :    6 (   6 usr;   4 con; 0-3 aty)
%            Number of variables   :   46 (  32   !;  14   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f112,plain,
    $false,
    inference(unit_resulting_resolution,[],[f109,f107,f101]) ).

fof(f101,plain,
    ! [X2,X3,X0,X1] :
      ( ~ check_cpq(insert_cpq(triple(X2,X1,X0),X3))
      | check_cpq(triple(X2,X1,X0)) ),
    inference(cnf_transformation,[],[f85]) ).

fof(f85,plain,
    ! [X0,X1,X2] :
      ( ! [X3] : ~ check_cpq(insert_cpq(triple(X2,X1,X0),X3))
      | check_cpq(triple(X2,X1,X0)) ),
    inference(rectify,[],[f77]) ).

fof(f77,plain,
    ! [X0,X2,X1] :
      ( ! [X3] : ~ check_cpq(insert_cpq(triple(X1,X2,X0),X3))
      | check_cpq(triple(X1,X2,X0)) ),
    inference(ennf_transformation,[],[f45]) ).

fof(f45,plain,
    ! [X0,X1,X2] :
      ( ~ check_cpq(triple(X1,X2,X0))
     => ! [X3] : ~ check_cpq(insert_cpq(triple(X1,X2,X0),X3)) ),
    inference(rectify,[],[f42]) ).

fof(f42,axiom,
    ! [X2,X0,X1] :
      ( ~ check_cpq(triple(X0,X1,X2))
     => ! [X3] : ~ check_cpq(insert_cpq(triple(X0,X1,X2),X3)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',l22_l26) ).

fof(f107,plain,
    check_cpq(insert_cpq(triple(sK0,sK1,sK2),sK3)),
    inference(cnf_transformation,[],[f93]) ).

fof(f93,plain,
    ( ~ check_cpq(triple(sK0,sK1,sK2))
    & ok(insert_cpq(triple(sK0,sK1,sK2),sK3))
    & check_cpq(insert_cpq(triple(sK0,sK1,sK2),sK3)) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f90,f92,f91]) ).

fof(f91,plain,
    ( ? [X0,X1,X2] :
        ( ~ check_cpq(triple(X0,X1,X2))
        & ? [X3] :
            ( ok(insert_cpq(triple(X0,X1,X2),X3))
            & check_cpq(insert_cpq(triple(X0,X1,X2),X3)) ) )
   => ( ~ check_cpq(triple(sK0,sK1,sK2))
      & ? [X3] :
          ( ok(insert_cpq(triple(sK0,sK1,sK2),X3))
          & check_cpq(insert_cpq(triple(sK0,sK1,sK2),X3)) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f92,plain,
    ( ? [X3] :
        ( ok(insert_cpq(triple(sK0,sK1,sK2),X3))
        & check_cpq(insert_cpq(triple(sK0,sK1,sK2),X3)) )
   => ( ok(insert_cpq(triple(sK0,sK1,sK2),sK3))
      & check_cpq(insert_cpq(triple(sK0,sK1,sK2),sK3)) ) ),
    introduced(choice_axiom,[]) ).

fof(f90,plain,
    ? [X0,X1,X2] :
      ( ~ check_cpq(triple(X0,X1,X2))
      & ? [X3] :
          ( ok(insert_cpq(triple(X0,X1,X2),X3))
          & check_cpq(insert_cpq(triple(X0,X1,X2),X3)) ) ),
    inference(rectify,[],[f78]) ).

fof(f78,plain,
    ? [X1,X2,X0] :
      ( ~ check_cpq(triple(X1,X2,X0))
      & ? [X3] :
          ( ok(insert_cpq(triple(X1,X2,X0),X3))
          & check_cpq(insert_cpq(triple(X1,X2,X0),X3)) ) ),
    inference(ennf_transformation,[],[f46]) ).

fof(f46,plain,
    ~ ! [X1,X0,X2] :
        ( ~ check_cpq(triple(X1,X2,X0))
       => ! [X3] :
            ( ~ check_cpq(insert_cpq(triple(X1,X2,X0),X3))
            | ~ ok(insert_cpq(triple(X1,X2,X0),X3)) ) ),
    inference(rectify,[],[f44]) ).

fof(f44,negated_conjecture,
    ~ ! [X2,X0,X1] :
        ( ~ check_cpq(triple(X0,X1,X2))
       => ! [X3] :
            ( ~ ok(insert_cpq(triple(X0,X1,X2),X3))
            | ~ check_cpq(insert_cpq(triple(X0,X1,X2),X3)) ) ),
    inference(negated_conjecture,[],[f43]) ).

fof(f43,conjecture,
    ! [X2,X0,X1] :
      ( ~ check_cpq(triple(X0,X1,X2))
     => ! [X3] :
          ( ~ ok(insert_cpq(triple(X0,X1,X2),X3))
          | ~ check_cpq(insert_cpq(triple(X0,X1,X2),X3)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',l22_co) ).

fof(f109,plain,
    ~ check_cpq(triple(sK0,sK1,sK2)),
    inference(cnf_transformation,[],[f93]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem    : SWV386+1 : TPTP v8.1.0. Released v3.3.0.
% 0.06/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.35  % Computer : n029.cluster.edu
% 0.12/0.35  % Model    : x86_64 x86_64
% 0.12/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.35  % Memory   : 8042.1875MB
% 0.12/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.35  % CPULimit   : 300
% 0.12/0.35  % WCLimit    : 300
% 0.12/0.35  % DateTime   : Tue Aug 30 19:31:27 EDT 2022
% 0.12/0.35  % CPUTime    : 
% 0.20/0.45  % (7007)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.47  % (7007)Instruction limit reached!
% 0.20/0.47  % (7007)------------------------------
% 0.20/0.47  % (7007)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.48  % (7007)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.48  % (7007)Termination reason: Unknown
% 0.20/0.48  % (7007)Termination phase: Property scanning
% 0.20/0.48  
% 0.20/0.48  % (7007)Memory used [KB]: 1535
% 0.20/0.48  % (7007)Time elapsed: 0.005 s
% 0.20/0.48  % (7007)Instructions burned: 3 (million)
% 0.20/0.48  % (7007)------------------------------
% 0.20/0.48  % (7007)------------------------------
% 0.20/0.55  % (7026)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.55  % (7009)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 1.29/0.55  % (7018)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.29/0.56  % (7026)First to succeed.
% 1.29/0.56  % (7009)Also succeeded, but the first one will report.
% 1.29/0.56  % (7026)Refutation found. Thanks to Tanya!
% 1.29/0.56  % SZS status Theorem for theBenchmark
% 1.29/0.56  % SZS output start Proof for theBenchmark
% See solution above
% 1.29/0.56  % (7026)------------------------------
% 1.29/0.56  % (7026)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.29/0.56  % (7026)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.29/0.56  % (7026)Termination reason: Refutation
% 1.29/0.56  
% 1.29/0.56  % (7026)Memory used [KB]: 6012
% 1.29/0.56  % (7026)Time elapsed: 0.139 s
% 1.29/0.56  % (7026)Instructions burned: 3 (million)
% 1.29/0.56  % (7026)------------------------------
% 1.29/0.56  % (7026)------------------------------
% 1.29/0.56  % (7004)Success in time 0.207 s
%------------------------------------------------------------------------------