TSTP Solution File: SEU294+3 by Vampire-SAT---4.8

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SEU294+3 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n012.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 : Tue Apr 30 15:27:47 EDT 2024

% Result   : Theorem 0.12s 0.37s
% Output   : Refutation 0.12s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   20 (   6 unt;   0 def)
%            Number of atoms       :   46 (   0 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :   43 (  17   ~;   7   |;  12   &)
%                                         (   1 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   2 con; 0-1 aty)
%            Number of variables   :   25 (  19   !;   6   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f345,plain,
    $false,
    inference(resolution,[],[f343,f162]) ).

fof(f162,plain,
    subset(sK0,sK1),
    inference(cnf_transformation,[],[f109]) ).

fof(f109,plain,
    ( ~ finite(sK0)
    & finite(sK1)
    & subset(sK0,sK1) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f79,f108]) ).

fof(f108,plain,
    ( ? [X0,X1] :
        ( ~ finite(X0)
        & finite(X1)
        & subset(X0,X1) )
   => ( ~ finite(sK0)
      & finite(sK1)
      & subset(sK0,sK1) ) ),
    introduced(choice_axiom,[]) ).

fof(f79,plain,
    ? [X0,X1] :
      ( ~ finite(X0)
      & finite(X1)
      & subset(X0,X1) ),
    inference(flattening,[],[f78]) ).

fof(f78,plain,
    ? [X0,X1] :
      ( ~ finite(X0)
      & finite(X1)
      & subset(X0,X1) ),
    inference(ennf_transformation,[],[f47]) ).

fof(f47,negated_conjecture,
    ~ ! [X0,X1] :
        ( ( finite(X1)
          & subset(X0,X1) )
       => finite(X0) ),
    inference(negated_conjecture,[],[f46]) ).

fof(f46,conjecture,
    ! [X0,X1] :
      ( ( finite(X1)
        & subset(X0,X1) )
     => finite(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t13_finset_1) ).

fof(f343,plain,
    ~ subset(sK0,sK1),
    inference(resolution,[],[f333,f220]) ).

fof(f220,plain,
    ! [X0,X1] :
      ( element(X0,powerset(X1))
      | ~ subset(X0,X1) ),
    inference(cnf_transformation,[],[f102]) ).

fof(f102,plain,
    ! [X0,X1] :
      ( element(X0,powerset(X1))
      | ~ subset(X0,X1) ),
    inference(ennf_transformation,[],[f57]) ).

fof(f57,plain,
    ! [X0,X1] :
      ( subset(X0,X1)
     => element(X0,powerset(X1)) ),
    inference(unused_predicate_definition_removal,[],[f50]) ).

fof(f50,axiom,
    ! [X0,X1] :
      ( element(X0,powerset(X1))
    <=> subset(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t3_subset) ).

fof(f333,plain,
    ~ element(sK0,powerset(sK1)),
    inference(resolution,[],[f329,f163]) ).

fof(f163,plain,
    finite(sK1),
    inference(cnf_transformation,[],[f109]) ).

fof(f329,plain,
    ! [X0] :
      ( ~ finite(X0)
      | ~ element(sK0,powerset(X0)) ),
    inference(resolution,[],[f183,f164]) ).

fof(f164,plain,
    ~ finite(sK0),
    inference(cnf_transformation,[],[f109]) ).

fof(f183,plain,
    ! [X0,X1] :
      ( finite(X1)
      | ~ element(X1,powerset(X0))
      | ~ finite(X0) ),
    inference(cnf_transformation,[],[f82]) ).

fof(f82,plain,
    ! [X0] :
      ( ! [X1] :
          ( finite(X1)
          | ~ element(X1,powerset(X0)) )
      | ~ finite(X0) ),
    inference(ennf_transformation,[],[f8]) ).

fof(f8,axiom,
    ! [X0] :
      ( finite(X0)
     => ! [X1] :
          ( element(X1,powerset(X0))
         => finite(X1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc2_finset_1) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem    : SEU294+3 : TPTP v8.1.2. Released v3.2.0.
% 0.12/0.13  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.12/0.34  % Computer : n012.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit   : 300
% 0.12/0.34  % WCLimit    : 300
% 0.12/0.34  % DateTime   : Mon Apr 29 20:52:26 EDT 2024
% 0.12/0.35  % CPUTime    : 
% 0.12/0.35  % (10362)Running in auto input_syntax mode. Trying TPTP
% 0.12/0.36  % (10365)WARNING: value z3 for option sas not known
% 0.12/0.36  % (10365)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.12/0.36  % (10364)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.12/0.36  % (10363)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.12/0.36  % (10366)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.12/0.37  % (10368)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.12/0.37  % (10367)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.12/0.37  % (10369)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.12/0.37  TRYING [1]
% 0.12/0.37  TRYING [2]
% 0.12/0.37  TRYING [3]
% 0.12/0.37  TRYING [1]
% 0.12/0.37  % (10368)First to succeed.
% 0.12/0.37  TRYING [4]
% 0.12/0.37  TRYING [2]
% 0.12/0.37  TRYING [1]
% 0.12/0.37  % (10368)Refutation found. Thanks to Tanya!
% 0.12/0.37  % SZS status Theorem for theBenchmark
% 0.12/0.37  % SZS output start Proof for theBenchmark
% See solution above
% 0.12/0.37  % (10368)------------------------------
% 0.12/0.37  % (10368)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.12/0.37  % (10368)Termination reason: Refutation
% 0.12/0.37  
% 0.12/0.37  % (10368)Memory used [KB]: 937
% 0.12/0.37  % (10368)Time elapsed: 0.006 s
% 0.12/0.37  % (10368)Instructions burned: 8 (million)
% 0.12/0.37  % (10368)------------------------------
% 0.12/0.37  % (10368)------------------------------
% 0.12/0.37  % (10362)Success in time 0.019 s
%------------------------------------------------------------------------------