TSTP Solution File: SEU200+1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SEU200+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_sat --cores 0 -t %d %s

% Computer : n020.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 18:32:28 EDT 2022

% Result   : Theorem 0.21s 0.53s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   34 (   7 unt;   3 typ;   0 def)
%            Number of atoms       :   71 (   0 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :   77 (  37   ~;  23   |;   8   &)
%                                         (   0 <=>;   9  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of types       :    4 (   0 usr;   3 ari)
%            Number of type conns  :    6 (   3   >;   3   *;   0   +;   0  <<)
%            Number of predicates  :    6 (   5 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   2 con; 0-2 aty)
%            Number of variables   :   40 (  34   !;   6   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
tff(pred_def_7,type,
    sQ10_eqProxy: ( $int * $int ) > $o ).

tff(pred_def_8,type,
    sQ11_eqProxy: ( $rat * $rat ) > $o ).

tff(pred_def_9,type,
    sQ12_eqProxy: ( $real * $real ) > $o ).

fof(f257,plain,
    $false,
    inference(subsumption_resolution,[],[f255,f162]) ).

fof(f162,plain,
    relation(sK5),
    inference(literal_reordering,[],[f99]) ).

fof(f99,plain,
    relation(sK5),
    inference(cnf_transformation,[],[f74]) ).

fof(f74,plain,
    ( ~ subset(relation_rng(relation_rng_restriction(sK4,sK5)),relation_rng(sK5))
    & relation(sK5) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK4,sK5])],[f72,f73]) ).

fof(f73,plain,
    ( ? [X0,X1] :
        ( ~ subset(relation_rng(relation_rng_restriction(X0,X1)),relation_rng(X1))
        & relation(X1) )
   => ( ~ subset(relation_rng(relation_rng_restriction(sK4,sK5)),relation_rng(sK5))
      & relation(sK5) ) ),
    introduced(choice_axiom,[]) ).

fof(f72,plain,
    ? [X0,X1] :
      ( ~ subset(relation_rng(relation_rng_restriction(X0,X1)),relation_rng(X1))
      & relation(X1) ),
    inference(rectify,[],[f49]) ).

fof(f49,plain,
    ? [X1,X0] :
      ( ~ subset(relation_rng(relation_rng_restriction(X1,X0)),relation_rng(X0))
      & relation(X0) ),
    inference(ennf_transformation,[],[f37]) ).

fof(f37,plain,
    ~ ! [X0,X1] :
        ( relation(X0)
       => subset(relation_rng(relation_rng_restriction(X1,X0)),relation_rng(X0)) ),
    inference(rectify,[],[f26]) ).

fof(f26,negated_conjecture,
    ~ ! [X1,X0] :
        ( relation(X1)
       => subset(relation_rng(relation_rng_restriction(X0,X1)),relation_rng(X1)) ),
    inference(negated_conjecture,[],[f25]) ).

fof(f25,conjecture,
    ! [X1,X0] :
      ( relation(X1)
     => subset(relation_rng(relation_rng_restriction(X0,X1)),relation_rng(X1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t118_relat_1) ).

fof(f255,plain,
    ~ relation(sK5),
    inference(resolution,[],[f254,f138]) ).

fof(f138,plain,
    ! [X0,X1] :
      ( relation(relation_rng_restriction(X0,X1))
      | ~ relation(X1) ),
    inference(literal_reordering,[],[f107]) ).

fof(f107,plain,
    ! [X0,X1] :
      ( relation(relation_rng_restriction(X0,X1))
      | ~ relation(X1) ),
    inference(cnf_transformation,[],[f60]) ).

fof(f60,plain,
    ! [X0,X1] :
      ( ~ relation(X1)
      | relation(relation_rng_restriction(X0,X1)) ),
    inference(ennf_transformation,[],[f7]) ).

fof(f7,axiom,
    ! [X1,X0] :
      ( relation(X1)
     => relation(relation_rng_restriction(X0,X1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k8_relat_1) ).

fof(f254,plain,
    ~ relation(relation_rng_restriction(sK4,sK5)),
    inference(subsumption_resolution,[],[f253,f162]) ).

fof(f253,plain,
    ( ~ relation(relation_rng_restriction(sK4,sK5))
    | ~ relation(sK5) ),
    inference(resolution,[],[f231,f139]) ).

fof(f139,plain,
    ! [X0,X1] :
      ( subset(relation_rng_restriction(X1,X0),X0)
      | ~ relation(X0) ),
    inference(literal_reordering,[],[f122]) ).

fof(f122,plain,
    ! [X0,X1] :
      ( ~ relation(X0)
      | subset(relation_rng_restriction(X1,X0),X0) ),
    inference(cnf_transformation,[],[f85]) ).

fof(f85,plain,
    ! [X0,X1] :
      ( subset(relation_rng_restriction(X1,X0),X0)
      | ~ relation(X0) ),
    inference(rectify,[],[f59]) ).

fof(f59,plain,
    ! [X1,X0] :
      ( subset(relation_rng_restriction(X0,X1),X1)
      | ~ relation(X1) ),
    inference(ennf_transformation,[],[f24]) ).

fof(f24,axiom,
    ! [X1,X0] :
      ( relation(X1)
     => subset(relation_rng_restriction(X0,X1),X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t117_relat_1) ).

fof(f231,plain,
    ( ~ subset(relation_rng_restriction(sK4,sK5),sK5)
    | ~ relation(relation_rng_restriction(sK4,sK5)) ),
    inference(subsumption_resolution,[],[f229,f162]) ).

fof(f229,plain,
    ( ~ subset(relation_rng_restriction(sK4,sK5),sK5)
    | ~ relation(relation_rng_restriction(sK4,sK5))
    | ~ relation(sK5) ),
    inference(resolution,[],[f158,f130]) ).

fof(f130,plain,
    ~ subset(relation_rng(relation_rng_restriction(sK4,sK5)),relation_rng(sK5)),
    inference(literal_reordering,[],[f100]) ).

fof(f100,plain,
    ~ subset(relation_rng(relation_rng_restriction(sK4,sK5)),relation_rng(sK5)),
    inference(cnf_transformation,[],[f74]) ).

fof(f158,plain,
    ! [X0,X1] :
      ( subset(relation_rng(X0),relation_rng(X1))
      | ~ subset(X0,X1)
      | ~ relation(X1)
      | ~ relation(X0) ),
    inference(literal_reordering,[],[f117]) ).

fof(f117,plain,
    ! [X0,X1] :
      ( ~ subset(X0,X1)
      | ~ relation(X0)
      | ~ relation(X1)
      | subset(relation_rng(X0),relation_rng(X1)) ),
    inference(cnf_transformation,[],[f52]) ).

fof(f52,plain,
    ! [X0] :
      ( ~ relation(X0)
      | ! [X1] :
          ( ~ relation(X1)
          | ~ subset(X0,X1)
          | ( subset(relation_dom(X0),relation_dom(X1))
            & subset(relation_rng(X0),relation_rng(X1)) ) ) ),
    inference(flattening,[],[f51]) ).

fof(f51,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( subset(relation_dom(X0),relation_dom(X1))
            & subset(relation_rng(X0),relation_rng(X1)) )
          | ~ subset(X0,X1)
          | ~ relation(X1) )
      | ~ relation(X0) ),
    inference(ennf_transformation,[],[f28]) ).

fof(f28,axiom,
    ! [X0] :
      ( relation(X0)
     => ! [X1] :
          ( relation(X1)
         => ( subset(X0,X1)
           => ( subset(relation_dom(X0),relation_dom(X1))
              & subset(relation_rng(X0),relation_rng(X1)) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t25_relat_1) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12  % Problem    : SEU200+1 : TPTP v8.1.0. Released v3.3.0.
% 0.08/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.35  % Computer : n020.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Tue Aug 30 14:51:00 EDT 2022
% 0.14/0.35  % CPUTime    : 
% 0.21/0.50  % (18533)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.21/0.50  % (18531)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.21/0.51  % (18523)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.21/0.52  % (18524)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.52  % (18522)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.52  % (18526)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.21/0.52  % (18518)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.21/0.53  TRYING [1]
% 0.21/0.53  TRYING [2]
% 0.21/0.53  TRYING [3]
% 0.21/0.53  % (18533)First to succeed.
% 0.21/0.53  TRYING [4]
% 0.21/0.53  % (18526)Instruction limit reached!
% 0.21/0.53  % (18526)------------------------------
% 0.21/0.53  % (18526)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.53  % (18533)Refutation found. Thanks to Tanya!
% 0.21/0.53  % SZS status Theorem for theBenchmark
% 0.21/0.53  % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.53  % (18533)------------------------------
% 0.21/0.53  % (18533)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.53  % (18533)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.53  % (18533)Termination reason: Refutation
% 0.21/0.53  
% 0.21/0.53  % (18533)Memory used [KB]: 5884
% 0.21/0.53  % (18533)Time elapsed: 0.007 s
% 0.21/0.53  % (18533)Instructions burned: 6 (million)
% 0.21/0.53  % (18533)------------------------------
% 0.21/0.53  % (18533)------------------------------
% 0.21/0.53  % (18515)Success in time 0.173 s
%------------------------------------------------------------------------------