TSTP Solution File: SYN959+1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SYN959+1 : TPTP v8.2.0. Released v3.1.0.
% 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 : Tue May 21 08:43:50 EDT 2024

% Result   : Theorem 0.13s 0.36s
% Output   : Refutation 0.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   11 (   3 unt;   0 def)
%            Number of atoms       :   22 (   0 equ)
%            Maximal formula atoms :    3 (   2 avg)
%            Number of connectives :   18 (   7   ~;   3   |;   3   &)
%                                         (   0 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-1 aty)
%            Number of functors    :    1 (   1 usr;   1 con; 0-0 aty)
%            Number of variables   :   15 (   4   !;  11   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f11,plain,
    $false,
    inference(resolution,[],[f10,f9]) ).

fof(f9,plain,
    b(sK0),
    inference(cnf_transformation,[],[f8]) ).

fof(f8,plain,
    ( ! [X0] : ~ b(X0)
    & b(sK0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f6,f7]) ).

fof(f7,plain,
    ( ? [X1] : b(X1)
   => b(sK0) ),
    introduced(choice_axiom,[]) ).

fof(f6,plain,
    ( ! [X0] : ~ b(X0)
    & ? [X1] : b(X1) ),
    inference(rectify,[],[f5]) ).

fof(f5,plain,
    ( ! [X1] : ~ b(X1)
    & ? [X0] : b(X0) ),
    inference(ennf_transformation,[],[f4]) ).

fof(f4,plain,
    ~ ( ? [X0] : b(X0)
     => ? [X1] : b(X1) ),
    inference(pure_predicate_removal,[],[f3]) ).

fof(f3,plain,
    ~ ( ? [X0] : b(X0)
     => ? [X1] :
          ( b(X1)
          | a(X1) ) ),
    inference(rectify,[],[f2]) ).

fof(f2,negated_conjecture,
    ~ ( ? [X0] : b(X0)
     => ? [X0] :
          ( b(X0)
          | a(X0) ) ),
    inference(negated_conjecture,[],[f1]) ).

fof(f1,conjecture,
    ( ? [X0] : b(X0)
   => ? [X0] :
        ( b(X0)
        | a(X0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).

fof(f10,plain,
    ! [X0] : ~ b(X0),
    inference(cnf_transformation,[],[f8]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : SYN959+1 : TPTP v8.2.0. Released v3.1.0.
% 0.12/0.13  % 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   : Mon May 20 15:19:23 EDT 2024
% 0.13/0.34  % CPUTime    : 
% 0.13/0.34  % (5814)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.36  % (5818)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.13/0.36  % (5815)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.13/0.36  % (5821)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)
% 0.13/0.36  % (5816)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.13/0.36  % (5819)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.13/0.36  % (5817)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)
% 0.13/0.36  Detected minimum model sizes of [1]
% 0.13/0.36  Detected minimum model sizes of [1]
% 0.13/0.36  Detected minimum model sizes of [1]
% 0.13/0.36  Detected maximum model sizes of [1]
% 0.13/0.36  Detected maximum model sizes of [1]
% 0.13/0.36  Detected minimum model sizes of [1]
% 0.13/0.36  Detected maximum model sizes of [1]
% 0.13/0.36  TRYING [1]
% 0.13/0.36  TRYING [1]
% 0.13/0.36  TRYING [1]
% 0.13/0.36  Detected maximum model sizes of [1]
% 0.13/0.36  TRYING [1]
% 0.13/0.36  % (5820)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.13/0.36  % (5815)Also succeeded, but the first one will report.
% 0.13/0.36  % (5821)Also succeeded, but the first one will report.
% 0.13/0.36  % (5817)Also succeeded, but the first one will report.
% 0.13/0.36  % (5816)Also succeeded, but the first one will report.
% 0.13/0.36  % (5819)First to succeed.
% 0.13/0.36  % (5818)Also succeeded, but the first one will report.
% 0.13/0.36  % (5819)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-5814"
% 0.13/0.36  % (5820)Also succeeded, but the first one will report.
% 0.13/0.36  % (5819)Refutation found. Thanks to Tanya!
% 0.13/0.36  % SZS status Theorem for theBenchmark
% 0.13/0.36  % SZS output start Proof for theBenchmark
% See solution above
% 0.13/0.36  % (5819)------------------------------
% 0.13/0.36  % (5819)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.13/0.36  % (5819)Termination reason: Refutation
% 0.13/0.36  
% 0.13/0.36  % (5819)Memory used [KB]: 729
% 0.13/0.36  % (5819)Time elapsed: 0.003 s
% 0.13/0.36  % (5819)Instructions burned: 2 (million)
% 0.13/0.36  % (5814)Success in time 0.017 s
%------------------------------------------------------------------------------