TSTP Solution File: SEU303+1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SEU303+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 : n011.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 18:33:06 EDT 2022

% Result   : Theorem 1.59s 0.56s
% Output   : Refutation 1.59s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   23 (   7 unt;   0 def)
%            Number of atoms       :   66 (   4 equ)
%            Maximal formula atoms :    8 (   2 avg)
%            Number of connectives :   69 (  26   ~;  17   |;  19   &)
%                                         (   0 <=>;   7  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   1 con; 0-2 aty)
%            Number of variables   :   16 (  13   !;   3   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f49,plain,
    $false,
    inference(subsumption_resolution,[],[f48,f25]) ).

fof(f25,plain,
    finite(relation_dom(sK1)),
    inference(cnf_transformation,[],[f21]) ).

fof(f21,plain,
    ( function(sK1)
    & relation(sK1)
    & ~ finite(relation_rng(sK1))
    & finite(relation_dom(sK1)) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f12,f20]) ).

fof(f20,plain,
    ( ? [X0] :
        ( function(X0)
        & relation(X0)
        & ~ finite(relation_rng(X0))
        & finite(relation_dom(X0)) )
   => ( function(sK1)
      & relation(sK1)
      & ~ finite(relation_rng(sK1))
      & finite(relation_dom(sK1)) ) ),
    introduced(choice_axiom,[]) ).

fof(f12,plain,
    ? [X0] :
      ( function(X0)
      & relation(X0)
      & ~ finite(relation_rng(X0))
      & finite(relation_dom(X0)) ),
    inference(flattening,[],[f11]) ).

fof(f11,plain,
    ? [X0] :
      ( ~ finite(relation_rng(X0))
      & finite(relation_dom(X0))
      & relation(X0)
      & function(X0) ),
    inference(ennf_transformation,[],[f9]) ).

fof(f9,negated_conjecture,
    ~ ! [X0] :
        ( ( relation(X0)
          & function(X0) )
       => ( finite(relation_dom(X0))
         => finite(relation_rng(X0)) ) ),
    inference(negated_conjecture,[],[f8]) ).

fof(f8,conjecture,
    ! [X0] :
      ( ( relation(X0)
        & function(X0) )
     => ( finite(relation_dom(X0))
       => finite(relation_rng(X0)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t26_finset_1) ).

fof(f48,plain,
    ~ finite(relation_dom(sK1)),
    inference(subsumption_resolution,[],[f47,f28]) ).

fof(f28,plain,
    function(sK1),
    inference(cnf_transformation,[],[f21]) ).

fof(f47,plain,
    ( ~ function(sK1)
    | ~ finite(relation_dom(sK1)) ),
    inference(subsumption_resolution,[],[f46,f26]) ).

fof(f26,plain,
    ~ finite(relation_rng(sK1)),
    inference(cnf_transformation,[],[f21]) ).

fof(f46,plain,
    ( finite(relation_rng(sK1))
    | ~ function(sK1)
    | ~ finite(relation_dom(sK1)) ),
    inference(subsumption_resolution,[],[f33,f27]) ).

fof(f27,plain,
    relation(sK1),
    inference(cnf_transformation,[],[f21]) ).

fof(f33,plain,
    ( ~ relation(sK1)
    | finite(relation_rng(sK1))
    | ~ finite(relation_dom(sK1))
    | ~ function(sK1) ),
    inference(superposition,[],[f22,f31]) ).

fof(f31,plain,
    relation_image(sK1,relation_dom(sK1)) = relation_rng(sK1),
    inference(resolution,[],[f30,f27]) ).

fof(f30,plain,
    ! [X0] :
      ( ~ relation(X0)
      | relation_image(X0,relation_dom(X0)) = relation_rng(X0) ),
    inference(cnf_transformation,[],[f15]) ).

fof(f15,plain,
    ! [X0] :
      ( ~ relation(X0)
      | relation_image(X0,relation_dom(X0)) = relation_rng(X0) ),
    inference(ennf_transformation,[],[f6]) ).

fof(f6,axiom,
    ! [X0] :
      ( relation(X0)
     => relation_image(X0,relation_dom(X0)) = relation_rng(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t146_relat_1) ).

fof(f22,plain,
    ! [X0,X1] :
      ( finite(relation_image(X0,X1))
      | ~ relation(X0)
      | ~ finite(X1)
      | ~ function(X0) ),
    inference(cnf_transformation,[],[f14]) ).

fof(f14,plain,
    ! [X0,X1] :
      ( ~ relation(X0)
      | finite(relation_image(X0,X1))
      | ~ function(X0)
      | ~ finite(X1) ),
    inference(flattening,[],[f13]) ).

fof(f13,plain,
    ! [X0,X1] :
      ( finite(relation_image(X0,X1))
      | ~ finite(X1)
      | ~ function(X0)
      | ~ relation(X0) ),
    inference(ennf_transformation,[],[f4]) ).

fof(f4,axiom,
    ! [X0,X1] :
      ( ( finite(X1)
        & function(X0)
        & relation(X0) )
     => finite(relation_image(X0,X1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc13_finset_1) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SEU303+1 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34  % Computer : n011.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Tue Aug 30 15:05:25 EDT 2022
% 0.13/0.35  % CPUTime    : 
% 1.41/0.55  % (18817)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.41/0.55  % (18824)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)
% 1.41/0.55  % (18833)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 1.59/0.56  % (18816)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)
% 1.59/0.56  % (18825)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 1.59/0.56  TRYING [1]
% 1.59/0.56  % (18817)First to succeed.
% 1.59/0.56  % (18810)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)
% 1.59/0.56  TRYING [2]
% 1.59/0.56  TRYING [1]
% 1.59/0.56  TRYING [3]
% 1.59/0.56  TRYING [2]
% 1.59/0.56  TRYING [3]
% 1.59/0.56  % (18817)Refutation found. Thanks to Tanya!
% 1.59/0.56  % SZS status Theorem for theBenchmark
% 1.59/0.56  % SZS output start Proof for theBenchmark
% See solution above
% 1.59/0.56  % (18817)------------------------------
% 1.59/0.56  % (18817)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.59/0.56  % (18817)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.59/0.56  % (18817)Termination reason: Refutation
% 1.59/0.56  
% 1.59/0.56  % (18817)Memory used [KB]: 5373
% 1.59/0.56  % (18817)Time elapsed: 0.135 s
% 1.59/0.56  % (18817)Instructions burned: 2 (million)
% 1.59/0.56  % (18817)------------------------------
% 1.59/0.56  % (18817)------------------------------
% 1.59/0.56  % (18809)Success in time 0.207 s
%------------------------------------------------------------------------------