TSTP Solution File: SEU163+3 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SEU163+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 : n024.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 15:22:43 EDT 2024

% Result   : Theorem 0.19s 0.36s
% Output   : Refutation 0.19s
% 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   |;   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(f29,plain,
    $false,
    inference(resolution,[],[f28,f18]) ).

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

fof(f13,plain,
    ( ~ subset(sK0,union(sK1))
    & in(sK0,sK1) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f9,f12]) ).

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

fof(f9,plain,
    ? [X0,X1] :
      ( ~ subset(X0,union(X1))
      & in(X0,X1) ),
    inference(ennf_transformation,[],[f6]) ).

fof(f6,negated_conjecture,
    ~ ! [X0,X1] :
        ( in(X0,X1)
       => subset(X0,union(X1)) ),
    inference(negated_conjecture,[],[f5]) ).

fof(f5,conjecture,
    ! [X0,X1] :
      ( in(X0,X1)
     => subset(X0,union(X1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t92_zfmisc_1) ).

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

fof(f19,plain,
    ~ subset(sK0,union(sK1)),
    inference(cnf_transformation,[],[f13]) ).

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

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

fof(f7,axiom,
    ! [X0,X1] :
      ( in(X0,X1)
     => subset(X0,union(X1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',l50_zfmisc_1) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : SEU163+3 : TPTP v8.1.2. Released v3.2.0.
% 0.03/0.13  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.12/0.34  % Computer : n024.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 20:44:06 EDT 2024
% 0.12/0.34  % CPUTime    : 
% 0.12/0.35  % (13742)Running in auto input_syntax mode. Trying TPTP
% 0.19/0.36  % (13749)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)
% 0.19/0.36  % (13745)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)
% 0.19/0.36  % (13746)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.19/0.36  TRYING [1]
% 0.19/0.36  TRYING [2]
% 0.19/0.36  TRYING [3]
% 0.19/0.36  % (13745)First to succeed.
% 0.19/0.36  Detected minimum model sizes of [1,1,1]
% 0.19/0.36  TRYING [4]
% 0.19/0.36  Detected maximum model sizes of [max,2,max]
% 0.19/0.36  TRYING [1,1,1]
% 0.19/0.36  % (13744)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.19/0.36  TRYING [2,2,1]
% 0.19/0.36  % (13749)Also succeeded, but the first one will report.
% 0.19/0.36  TRYING [3,2,1]
% 0.19/0.36  % (13748)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.19/0.36  Cannot enumerate next child to try in an incomplete setup
% 0.19/0.36  % (13746)Refutation not found, incomplete strategy% (13746)------------------------------
% 0.19/0.36  % (13746)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.19/0.36  % (13746)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.36  
% 0.19/0.36  % (13747)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.19/0.36  % (13746)Memory used [KB]: 725
% 0.19/0.36  % (13746)Time elapsed: 0.003 s
% 0.19/0.36  % (13746)Instructions burned: 3 (million)
% 0.19/0.36  % (13746)------------------------------
% 0.19/0.36  % (13746)------------------------------
% 0.19/0.36  Detected minimum model sizes of [1,1,1]
% 0.19/0.36  Detected maximum model sizes of [max,2,max]
% 0.19/0.36  TRYING [1,1,1]
% 0.19/0.36  TRYING [2,2,1]
% 0.19/0.36  TRYING [3,2,1]
% 0.19/0.36  Cannot enumerate next child to try in an incomplete setup
% 0.19/0.36  % (13745)Refutation found. Thanks to Tanya!
% 0.19/0.36  % SZS status Theorem for theBenchmark
% 0.19/0.36  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.36  % (13745)------------------------------
% 0.19/0.36  % (13745)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.19/0.36  % (13745)Termination reason: Refutation
% 0.19/0.36  
% 0.19/0.36  % (13745)Memory used [KB]: 746
% 0.19/0.36  % (13745)Time elapsed: 0.002 s
% 0.19/0.36  % (13745)Instructions burned: 2 (million)
% 0.19/0.36  % (13745)------------------------------
% 0.19/0.36  % (13745)------------------------------
% 0.19/0.36  % (13742)Success in time 0.005 s
%------------------------------------------------------------------------------