TSTP Solution File: SEU083+1 by Vampire-SAT---4.8

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SEU083+1 : 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 : n022.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 : Sun May  5 09:26:57 EDT 2024

% Result   : Theorem 0.13s 0.37s
% Output   : Refutation 0.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   16 (   5 unt;   0 def)
%            Number of atoms       :   40 (   0 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :   40 (  16   ~;   7   |;  13   &)
%                                         (   0 <=>;   4  =>;   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   :   18 (  12   !;   6   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f410,plain,
    $false,
    inference(resolution,[],[f407,f179]) ).

fof(f179,plain,
    finite(sK0),
    inference(cnf_transformation,[],[f126]) ).

fof(f126,plain,
    ( ~ finite(set_union2(sK0,sK1))
    & finite(sK1)
    & finite(sK0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f88,f125]) ).

fof(f125,plain,
    ( ? [X0,X1] :
        ( ~ finite(set_union2(X0,X1))
        & finite(X1)
        & finite(X0) )
   => ( ~ finite(set_union2(sK0,sK1))
      & finite(sK1)
      & finite(sK0) ) ),
    introduced(choice_axiom,[]) ).

fof(f88,plain,
    ? [X0,X1] :
      ( ~ finite(set_union2(X0,X1))
      & finite(X1)
      & finite(X0) ),
    inference(flattening,[],[f87]) ).

fof(f87,plain,
    ? [X0,X1] :
      ( ~ finite(set_union2(X0,X1))
      & finite(X1)
      & finite(X0) ),
    inference(ennf_transformation,[],[f62]) ).

fof(f62,negated_conjecture,
    ~ ! [X0,X1] :
        ( ( finite(X1)
          & finite(X0) )
       => finite(set_union2(X0,X1)) ),
    inference(negated_conjecture,[],[f61]) ).

fof(f61,conjecture,
    ! [X0,X1] :
      ( ( finite(X1)
        & finite(X0) )
     => finite(set_union2(X0,X1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t14_finset_1) ).

fof(f407,plain,
    ~ finite(sK0),
    inference(resolution,[],[f399,f180]) ).

fof(f180,plain,
    finite(sK1),
    inference(cnf_transformation,[],[f126]) ).

fof(f399,plain,
    ( ~ finite(sK1)
    | ~ finite(sK0) ),
    inference(resolution,[],[f242,f181]) ).

fof(f181,plain,
    ~ finite(set_union2(sK0,sK1)),
    inference(cnf_transformation,[],[f126]) ).

fof(f242,plain,
    ! [X0,X1] :
      ( finite(set_union2(X0,X1))
      | ~ finite(X1)
      | ~ finite(X0) ),
    inference(cnf_transformation,[],[f114]) ).

fof(f114,plain,
    ! [X0,X1] :
      ( finite(set_union2(X0,X1))
      | ~ finite(X1)
      | ~ finite(X0) ),
    inference(flattening,[],[f113]) ).

fof(f113,plain,
    ! [X0,X1] :
      ( finite(set_union2(X0,X1))
      | ~ finite(X1)
      | ~ finite(X0) ),
    inference(ennf_transformation,[],[f63]) ).

fof(f63,axiom,
    ! [X0,X1] :
      ( ( finite(X1)
        & finite(X0) )
     => finite(set_union2(X0,X1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',l3_finset_1) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : SEU083+1 : TPTP v8.1.2. Released v3.2.0.
% 0.11/0.13  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.34  % Computer : n022.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   : Fri May  3 11:06:27 EDT 2024
% 0.13/0.34  % CPUTime    : 
% 0.13/0.34  % (15273)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.36  % (15276)WARNING: value z3 for option sas not known
% 0.13/0.36  % (15275)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.13/0.36  % (15277)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.13/0.36  % (15274)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.13/0.36  % (15278)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)
% 0.13/0.36  % (15279)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)
% 0.13/0.36  % (15280)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)
% 0.13/0.36  % (15276)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)
% 0.13/0.36  TRYING [1]
% 0.13/0.37  TRYING [2]
% 0.13/0.37  TRYING [3]
% 0.13/0.37  % (15279)First to succeed.
% 0.13/0.37  TRYING [1]
% 0.13/0.37  TRYING [4]
% 0.13/0.37  % (15279)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-15273"
% 0.13/0.37  % (15276)Also succeeded, but the first one will report.
% 0.13/0.37  TRYING [2]
% 0.13/0.37  TRYING [1]
% 0.13/0.37  % (15279)Refutation found. Thanks to Tanya!
% 0.13/0.37  % SZS status Theorem for theBenchmark
% 0.13/0.37  % SZS output start Proof for theBenchmark
% See solution above
% 0.13/0.37  % (15279)------------------------------
% 0.13/0.37  % (15279)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.13/0.37  % (15279)Termination reason: Refutation
% 0.13/0.37  
% 0.13/0.37  % (15279)Memory used [KB]: 948
% 0.13/0.37  % (15279)Time elapsed: 0.009 s
% 0.13/0.37  % (15279)Instructions burned: 11 (million)
% 0.13/0.37  % (15273)Success in time 0.025 s
%------------------------------------------------------------------------------