TSTP Solution File: SET913+1 by Vampire-SAT---4.8

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SET913+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 : n019.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 15:13:57 EDT 2024

% Result   : Theorem 0.14s 0.50s
% Output   : Refutation 0.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   12 (   4 unt;   0 def)
%            Number of atoms       :   22 (   0 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   19 (   9   ~;   2   |;   7   &)
%                                         (   0 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   2 con; 0-1 aty)
%            Number of variables   :   14 (  10   !;   4   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f29,plain,
    $false,
    inference(subsumption_resolution,[],[f28,f18]) ).

fof(f18,plain,
    disjoint(singleton(sK0),sK1),
    inference(cnf_transformation,[],[f13]) ).

fof(f13,plain,
    ( in(sK0,sK1)
    & disjoint(singleton(sK0),sK1) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f8,f12]) ).

fof(f12,plain,
    ( ? [X0,X1] :
        ( in(X0,X1)
        & disjoint(singleton(X0),X1) )
   => ( in(sK0,sK1)
      & disjoint(singleton(sK0),sK1) ) ),
    introduced(choice_axiom,[]) ).

fof(f8,plain,
    ? [X0,X1] :
      ( in(X0,X1)
      & disjoint(singleton(X0),X1) ),
    inference(ennf_transformation,[],[f6]) ).

fof(f6,negated_conjecture,
    ~ ! [X0,X1] :
        ~ ( in(X0,X1)
          & disjoint(singleton(X0),X1) ),
    inference(negated_conjecture,[],[f5]) ).

fof(f5,conjecture,
    ! [X0,X1] :
      ~ ( in(X0,X1)
        & disjoint(singleton(X0),X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t54_zfmisc_1) ).

fof(f28,plain,
    ~ disjoint(singleton(sK0),sK1),
    inference(resolution,[],[f22,f19]) ).

fof(f19,plain,
    in(sK0,sK1),
    inference(cnf_transformation,[],[f13]) ).

fof(f22,plain,
    ! [X0,X1] :
      ( ~ in(X0,X1)
      | ~ disjoint(singleton(X0),X1) ),
    inference(cnf_transformation,[],[f11]) ).

fof(f11,plain,
    ! [X0,X1] :
      ( ~ in(X0,X1)
      | ~ disjoint(singleton(X0),X1) ),
    inference(ennf_transformation,[],[f7]) ).

fof(f7,axiom,
    ! [X0,X1] :
      ~ ( in(X0,X1)
        & disjoint(singleton(X0),X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',l25_zfmisc_1) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.25  % Problem    : SET913+1 : TPTP v8.1.2. Released v3.2.0.
% 0.12/0.26  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.48  % Computer : n019.cluster.edu
% 0.14/0.48  % Model    : x86_64 x86_64
% 0.14/0.48  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.48  % Memory   : 8042.1875MB
% 0.14/0.48  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.48  % CPULimit   : 300
% 0.14/0.48  % WCLimit    : 300
% 0.14/0.48  % DateTime   : Tue Apr 30 01:09:59 EDT 2024
% 0.14/0.48  % CPUTime    : 
% 0.14/0.48  % (27776)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.50  % (27782)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.14/0.50  % (27783)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_1451 on theBenchmark for (1451ds/0Mi)
% 0.14/0.50  % (27781)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.14/0.50  % (27780)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.14/0.50  % (27777)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.14/0.50  % (27778)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.50  % (27779)dis-2_2:3_amm=sco:anc=none:bce=on:fsr=off:gsp=on:nm=16:nwc=1.2:nicw=on:sac=on:sp=weighted_frequency_476 on theBenchmark for (476ds/0Mi)
% 0.14/0.50  TRYING [1]
% 0.14/0.50  TRYING [1]
% 0.14/0.50  TRYING [1,1]
% 0.14/0.50  TRYING [1,1]
% 0.14/0.50  TRYING [2,1]
% 0.14/0.50  TRYING [2]
% 0.14/0.50  TRYING [2,1]
% 0.14/0.50  TRYING [2]
% 0.14/0.50  % (27781)First to succeed.
% 0.14/0.50  TRYING [3]
% 0.14/0.50  TRYING [3,1]
% 0.14/0.50  TRYING [3,1]
% 0.14/0.50  TRYING [3]
% 0.14/0.50  TRYING [4,1]
% 0.14/0.50  TRYING [4,1]
% 0.14/0.50  TRYING [4]
% 0.14/0.50  TRYING [4]
% 0.14/0.50  % (27779)Also succeeded, but the first one will report.
% 0.14/0.50  Cannot enumerate next child to try in an incomplete setup
% 0.14/0.50  % (27780)Refutation not found, incomplete strategy% (27780)------------------------------
% 0.14/0.50  % (27780)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.14/0.50  % (27780)Termination reason: Refutation not found, incomplete strategy
% 0.14/0.50  
% 0.14/0.50  % (27780)Memory used [KB]: 725
% 0.14/0.50  % (27780)Time elapsed: 0.003 s
% 0.14/0.50  Cannot enumerate next child to try in an incomplete setup
% 0.14/0.50  % (27780)Instructions burned: 4 (million)
% 0.14/0.50  % (27780)------------------------------
% 0.14/0.50  % (27780)------------------------------
% 0.14/0.50  % (27778)Refutation not found, incomplete strategy% (27778)------------------------------
% 0.14/0.50  % (27778)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.14/0.50  % (27778)Termination reason: Refutation not found, incomplete strategy
% 0.14/0.50  
% 0.14/0.50  % (27778)Memory used [KB]: 724
% 0.14/0.50  % (27778)Time elapsed: 0.003 s
% 0.14/0.50  % (27778)Instructions burned: 4 (million)
% 0.14/0.50  % (27778)------------------------------
% 0.14/0.50  % (27778)------------------------------
% 0.14/0.50  % (27777)Also succeeded, but the first one will report.
% 0.14/0.50  % (27781)Refutation found. Thanks to Tanya!
% 0.14/0.50  % SZS status Theorem for theBenchmark
% 0.14/0.50  % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.50  % (27781)------------------------------
% 0.14/0.50  % (27781)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.14/0.50  % (27781)Termination reason: Refutation
% 0.14/0.50  
% 0.14/0.50  % (27781)Memory used [KB]: 744
% 0.14/0.50  % (27781)Time elapsed: 0.003 s
% 0.14/0.50  % (27781)Instructions burned: 2 (million)
% 0.14/0.50  % (27781)------------------------------
% 0.14/0.50  % (27781)------------------------------
% 0.14/0.50  % (27776)Success in time 0.008 s
%------------------------------------------------------------------------------