TSTP Solution File: SEU295+3 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SEU295+3 : TPTP v8.1.0. Released v3.2.0.
% 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 : n006.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 18:33:04 EDT 2022

% Result   : Theorem 0.19s 0.56s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   14 (   3 unt;   0 def)
%            Number of atoms       :   27 (   0 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   24 (  11   ~;   3   |;   5   &)
%                                         (   0 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-1 aty)
%            Number of functors    :    3 (   3 usr;   2 con; 0-2 aty)
%            Number of variables   :   20 (  14   !;   6   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f326,plain,
    $false,
    inference(unit_resulting_resolution,[],[f195,f196,f236]) ).

fof(f236,plain,
    ! [X0,X1] :
      ( finite(set_intersection2(X1,X0))
      | ~ finite(X1) ),
    inference(cnf_transformation,[],[f154]) ).

fof(f154,plain,
    ! [X0,X1] :
      ( ~ finite(X1)
      | finite(set_intersection2(X1,X0)) ),
    inference(rectify,[],[f126]) ).

fof(f126,plain,
    ! [X1,X0] :
      ( ~ finite(X0)
      | finite(set_intersection2(X0,X1)) ),
    inference(ennf_transformation,[],[f16]) ).

fof(f16,axiom,
    ! [X1,X0] :
      ( finite(X0)
     => finite(set_intersection2(X0,X1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc11_finset_1) ).

fof(f196,plain,
    ~ finite(set_intersection2(sK0,sK1)),
    inference(cnf_transformation,[],[f130]) ).

fof(f130,plain,
    ( ~ finite(set_intersection2(sK0,sK1))
    & finite(sK0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f128,f129]) ).

fof(f129,plain,
    ( ? [X0,X1] :
        ( ~ finite(set_intersection2(X0,X1))
        & finite(X0) )
   => ( ~ finite(set_intersection2(sK0,sK1))
      & finite(sK0) ) ),
    introduced(choice_axiom,[]) ).

fof(f128,plain,
    ? [X0,X1] :
      ( ~ finite(set_intersection2(X0,X1))
      & finite(X0) ),
    inference(rectify,[],[f94]) ).

fof(f94,plain,
    ? [X1,X0] :
      ( ~ finite(set_intersection2(X1,X0))
      & finite(X1) ),
    inference(ennf_transformation,[],[f70]) ).

fof(f70,plain,
    ~ ! [X0,X1] :
        ( finite(X1)
       => finite(set_intersection2(X1,X0)) ),
    inference(rectify,[],[f53]) ).

fof(f53,negated_conjecture,
    ~ ! [X1,X0] :
        ( finite(X0)
       => finite(set_intersection2(X0,X1)) ),
    inference(negated_conjecture,[],[f52]) ).

fof(f52,conjecture,
    ! [X1,X0] :
      ( finite(X0)
     => finite(set_intersection2(X0,X1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t15_finset_1) ).

fof(f195,plain,
    finite(sK0),
    inference(cnf_transformation,[],[f130]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : SEU295+3 : TPTP v8.1.0. Released v3.2.0.
% 0.11/0.13  % 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 : n006.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 15:05:10 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.19/0.54  % (4592)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.19/0.54  % (4575)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)
% 0.19/0.54  % (4576)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.54  TRYING [1]
% 0.19/0.55  TRYING [2]
% 0.19/0.55  % (4591)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.55  TRYING [3]
% 0.19/0.55  % (4583)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.55  TRYING [4]
% 0.19/0.55  % (4576)First to succeed.
% 0.19/0.56  TRYING [1]
% 0.19/0.56  % (4583)Instruction limit reached!
% 0.19/0.56  % (4583)------------------------------
% 0.19/0.56  % (4583)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.56  % (4584)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.56  % (4576)Refutation found. Thanks to Tanya!
% 0.19/0.56  % SZS status Theorem for theBenchmark
% 0.19/0.56  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.56  % (4576)------------------------------
% 0.19/0.56  % (4576)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.56  % (4576)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.56  % (4576)Termination reason: Refutation
% 0.19/0.56  
% 0.19/0.56  % (4576)Memory used [KB]: 5628
% 0.19/0.56  % (4576)Time elapsed: 0.135 s
% 0.19/0.56  % (4576)Instructions burned: 6 (million)
% 0.19/0.56  % (4576)------------------------------
% 0.19/0.56  % (4576)------------------------------
% 0.19/0.56  % (4574)Success in time 0.213 s
%------------------------------------------------------------------------------