TSTP Solution File: SEU163+1 by Vampire-SAT---4.8

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SEU163+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n002.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 09:27:31 EDT 2024

% Result   : Theorem 0.14s 0.37s
% 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 :   18 (   8   ~;   2   |;   4   &)
%                                         (   0 <=>;   4  =>;   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(f20,plain,
    $false,
    inference(subsumption_resolution,[],[f19,f14]) ).

fof(f14,plain,
    ~ subset(sK0,union(sK1)),
    inference(cnf_transformation,[],[f12]) ).

fof(f12,plain,
    ( ~ subset(sK0,union(sK1))
    & in(sK0,sK1) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f8,f11]) ).

fof(f11,plain,
    ( ? [X0,X1] :
        ( ~ subset(X0,union(X1))
        & in(X0,X1) )
   => ( ~ subset(sK0,union(sK1))
      & in(sK0,sK1) ) ),
    introduced(choice_axiom,[]) ).

fof(f8,plain,
    ? [X0,X1] :
      ( ~ subset(X0,union(X1))
      & in(X0,X1) ),
    inference(ennf_transformation,[],[f5]) ).

fof(f5,negated_conjecture,
    ~ ! [X0,X1] :
        ( in(X0,X1)
       => subset(X0,union(X1)) ),
    inference(negated_conjecture,[],[f4]) ).

fof(f4,conjecture,
    ! [X0,X1] :
      ( in(X0,X1)
     => subset(X0,union(X1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t92_zfmisc_1) ).

fof(f19,plain,
    subset(sK0,union(sK1)),
    inference(resolution,[],[f17,f13]) ).

fof(f13,plain,
    in(sK0,sK1),
    inference(cnf_transformation,[],[f12]) ).

fof(f17,plain,
    ! [X0,X1] :
      ( ~ in(X0,X1)
      | subset(X0,union(X1)) ),
    inference(cnf_transformation,[],[f10]) ).

fof(f10,plain,
    ! [X0,X1] :
      ( subset(X0,union(X1))
      | ~ in(X0,X1) ),
    inference(ennf_transformation,[],[f6]) ).

fof(f6,axiom,
    ! [X0,X1] :
      ( in(X0,X1)
     => subset(X0,union(X1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',l50_zfmisc_1) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SEU163+1 : TPTP v8.1.2. Released v3.3.0.
% 0.07/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.34  % Computer : n002.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Fri May  3 11:18:12 EDT 2024
% 0.14/0.35  % CPUTime    : 
% 0.14/0.35  % (2078)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.36  % (2082)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.14/0.36  Detected minimum model sizes of [1,1]
% 0.14/0.36  Detected maximum model sizes of [max,2]
% 0.14/0.36  TRYING [1,1]
% 0.14/0.36  TRYING [2,2]
% 0.14/0.36  TRYING [3,2]
% 0.14/0.36  Cannot enumerate next child to try in an incomplete setup
% 0.14/0.36  % (2082)Refutation not found, incomplete strategy% (2082)------------------------------
% 0.14/0.36  % (2082)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.36  % (2082)Termination reason: Refutation not found, incomplete strategy
% 0.14/0.36  
% 0.14/0.36  % (2082)Memory used [KB]: 724
% 0.14/0.36  % (2082)Time elapsed: 0.003 s
% 0.14/0.36  % (2082)Instructions burned: 3 (million)
% 0.14/0.36  % (2082)------------------------------
% 0.14/0.36  % (2082)------------------------------
% 0.14/0.37  % (2079)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.14/0.37  % (2080)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.37  % (2081)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)
% 0.14/0.37  % (2084)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.14/0.37  % (2083)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.14/0.37  % (2087)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)
% 0.14/0.37  TRYING [1]
% 0.14/0.37  TRYING [2]
% 0.14/0.37  Detected minimum model sizes of [1,1]
% 0.14/0.37  Detected maximum model sizes of [max,2]
% 0.14/0.37  TRYING [1,1]
% 0.14/0.37  TRYING [3]
% 0.14/0.37  TRYING [2,2]
% 0.14/0.37  TRYING [3,2]
% 0.14/0.37  TRYING [1]
% 0.14/0.37  TRYING [4]
% 0.14/0.37  % (2081)Also succeeded, but the first one will report.
% 0.14/0.37  % (2083)First to succeed.
% 0.14/0.37  % (2084)Also succeeded, but the first one will report.
% 0.14/0.37  TRYING [2]
% 0.14/0.37  Cannot enumerate next child to try in an incomplete setup
% 0.14/0.37  % (2080)Refutation not found, incomplete strategy% (2080)------------------------------
% 0.14/0.37  % (2080)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.37  % (2080)Termination reason: Refutation not found, incomplete strategy
% 0.14/0.37  
% 0.14/0.37  % (2080)Memory used [KB]: 724
% 0.14/0.37  % (2080)Time elapsed: 0.003 s
% 0.14/0.37  % (2080)Instructions burned: 3 (million)
% 0.14/0.37  TRYING [3]
% 0.14/0.37  TRYING [5]
% 0.14/0.37  % (2083)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2078"
% 0.14/0.37  % (2080)------------------------------
% 0.14/0.37  % (2080)------------------------------
% 0.14/0.37  TRYING [4]
% 0.14/0.37  % (2079)Also succeeded, but the first one will report.
% 0.14/0.37  TRYING [5]
% 0.14/0.37  % (2083)Refutation found. Thanks to Tanya!
% 0.14/0.37  % SZS status Theorem for theBenchmark
% 0.14/0.37  % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.37  % (2083)------------------------------
% 0.14/0.37  % (2083)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.37  % (2083)Termination reason: Refutation
% 0.14/0.37  
% 0.14/0.37  % (2083)Memory used [KB]: 743
% 0.14/0.37  % (2083)Time elapsed: 0.003 s
% 0.14/0.37  % (2083)Instructions burned: 2 (million)
% 0.14/0.37  % (2078)Success in time 0.017 s
%------------------------------------------------------------------------------