TSTP Solution File: SYN926+1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SYN926+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n007.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 18:11:09 EDT 2024

% Result   : Theorem 0.15s 0.38s
% Output   : Refutation 0.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   12 (   4 unt;   0 def)
%            Number of atoms       :   34 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   33 (  11   ~;   4   |;  14   &)
%                                         (   0 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   4 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   :   21 (   9   !;  12   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f12,plain,
    $false,
    inference(resolution,[],[f11,f8]) ).

fof(f8,plain,
    p(sK0),
    inference(cnf_transformation,[],[f7]) ).

fof(f7,plain,
    ( ( ! [X0] : ~ q(X0)
      | ! [X1] : ~ p(X1) )
    & q(sK0)
    & p(sK0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f5,f6]) ).

fof(f6,plain,
    ( ? [X2] :
        ( q(X2)
        & p(X2) )
   => ( q(sK0)
      & p(sK0) ) ),
    introduced(choice_axiom,[]) ).

fof(f5,plain,
    ( ( ! [X0] : ~ q(X0)
      | ! [X1] : ~ p(X1) )
    & ? [X2] :
        ( q(X2)
        & p(X2) ) ),
    inference(rectify,[],[f4]) ).

fof(f4,plain,
    ( ( ! [X1] : ~ q(X1)
      | ! [X2] : ~ p(X2) )
    & ? [X0] :
        ( q(X0)
        & p(X0) ) ),
    inference(ennf_transformation,[],[f3]) ).

fof(f3,plain,
    ~ ( ? [X0] :
          ( q(X0)
          & p(X0) )
     => ( ? [X1] : q(X1)
        & ? [X2] : p(X2) ) ),
    inference(rectify,[],[f2]) ).

fof(f2,negated_conjecture,
    ~ ( ? [X0] :
          ( q(X0)
          & p(X0) )
     => ( ? [X0] : q(X0)
        & ? [X0] : p(X0) ) ),
    inference(negated_conjecture,[],[f1]) ).

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

fof(f11,plain,
    ! [X0] : ~ p(X0),
    inference(resolution,[],[f10,f9]) ).

fof(f9,plain,
    q(sK0),
    inference(cnf_transformation,[],[f7]) ).

fof(f10,plain,
    ! [X0,X1] :
      ( ~ q(X0)
      | ~ p(X1) ),
    inference(cnf_transformation,[],[f7]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem    : SYN926+1 : TPTP v8.1.2. Released v3.1.0.
% 0.08/0.15  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.36  % Computer : n007.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit   : 300
% 0.15/0.36  % WCLimit    : 300
% 0.15/0.36  % DateTime   : Tue Apr 30 01:44:03 EDT 2024
% 0.15/0.36  % CPUTime    : 
% 0.15/0.36  % (23372)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.38  % (23374)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.15/0.38  % (23376)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.15/0.38  % (23375)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)
% 0.15/0.38  % (23377)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.15/0.38  % (23373)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.15/0.38  % (23378)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.15/0.38  % (23379)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)
% 0.15/0.38  Detected minimum model sizes of [1]
% 0.15/0.38  Detected minimum model sizes of [1]
% 0.15/0.38  Detected maximum model sizes of [1]
% 0.15/0.38  Detected minimum model sizes of [1]
% 0.15/0.38  Detected maximum model sizes of [1]
% 0.15/0.38  Detected maximum model sizes of [1]
% 0.15/0.38  TRYING [1]
% 0.15/0.38  TRYING [1]
% 0.15/0.38  % (23377)First to succeed.
% 0.15/0.38  TRYING [1]
% 0.15/0.38  Detected minimum model sizes of [1]
% 0.15/0.38  Detected maximum model sizes of [1]
% 0.15/0.38  TRYING [1]
% 0.15/0.38  % (23373)Also succeeded, but the first one will report.
% 0.15/0.38  % (23377)Refutation found. Thanks to Tanya!
% 0.15/0.38  % SZS status Theorem for theBenchmark
% 0.15/0.38  % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.38  % (23377)------------------------------
% 0.15/0.38  % (23377)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.15/0.38  % (23377)Termination reason: Refutation
% 0.15/0.38  
% 0.15/0.38  % (23377)Memory used [KB]: 729
% 0.15/0.38  % (23377)Time elapsed: 0.003 s
% 0.15/0.38  % (23377)Instructions burned: 2 (million)
% 0.15/0.38  % (23377)------------------------------
% 0.15/0.38  % (23377)------------------------------
% 0.15/0.38  % (23372)Success in time 0.007 s
%------------------------------------------------------------------------------