TSTP Solution File: SYN064+1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SYN064+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n013.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 12:08:44 EDT 2024

% Result   : Theorem 0.14s 0.38s
% Output   : Refutation 0.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    2
% Syntax   : Number of formulae    :    8 (   3 unt;   0 def)
%            Number of atoms       :   13 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   11 (   6   ~;   0   |;   2   &)
%                                         (   0 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   5 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    2 (   2 usr;   2 con; 0-0 aty)
%            Number of variables   :   18 (  10   !;   8   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f8,plain,
    $false,
    inference(subsumption_resolution,[],[f7,f6]) ).

fof(f6,plain,
    ! [X0,X1] : big_p(X0,X1),
    inference(cnf_transformation,[],[f5]) ).

fof(f5,plain,
    ! [X0,X1] :
      ( ~ big_p(sK0,sK1)
      & big_p(X0,X1) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f3,f4]) ).

fof(f4,plain,
    ( ? [X2,X3] : ~ big_p(X2,X3)
   => ~ big_p(sK0,sK1) ),
    introduced(choice_axiom,[]) ).

fof(f3,plain,
    ! [X0,X1] :
      ( ? [X2,X3] : ~ big_p(X2,X3)
      & big_p(X0,X1) ),
    inference(ennf_transformation,[],[f2]) ).

fof(f2,negated_conjecture,
    ~ ? [X0,X1] :
        ( big_p(X0,X1)
       => ! [X2,X3] : big_p(X2,X3) ),
    inference(negated_conjecture,[],[f1]) ).

fof(f1,conjecture,
    ? [X0,X1] :
      ( big_p(X0,X1)
     => ! [X2,X3] : big_p(X2,X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel35) ).

fof(f7,plain,
    ~ big_p(sK0,sK1),
    inference(cnf_transformation,[],[f5]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SYN064+1 : TPTP v8.1.2. Released v2.0.0.
% 0.07/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.36  % Computer : n013.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit   : 300
% 0.14/0.36  % WCLimit    : 300
% 0.14/0.36  % DateTime   : Fri May  3 17:44:53 EDT 2024
% 0.14/0.36  % CPUTime    : 
% 0.14/0.36  % (1923)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.38  % (1931)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.14/0.38  % (1930)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.14/0.38  % (1928)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)
% 0.14/0.38  % (1927)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.38  Detected minimum model sizes of [1,1]
% 0.14/0.38  Detected maximum model sizes of [1,1]
% 0.14/0.38  TRYING [1,1]
% 0.14/0.38  % (1931)Also succeeded, but the first one will report.
% 0.14/0.38  % (1930)First to succeed.
% 0.14/0.38  Cannot enumerate next child to try in an incomplete setup
% 0.14/0.38  % (1928)Also succeeded, but the first one will report.
% 0.14/0.38  % (1927)Refutation not found, incomplete strategy% (1927)------------------------------
% 0.14/0.38  % (1927)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.38  % (1927)Termination reason: Refutation not found, incomplete strategy
% 0.14/0.38  
% 0.14/0.38  % (1927)Memory used [KB]: 720
% 0.14/0.38  % (1927)Time elapsed: 0.003 s
% 0.14/0.38  % (1927)Instructions burned: 2 (million)
% 0.14/0.38  % (1929)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.14/0.38  % (1930)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1923"
% 0.14/0.38  % (1927)------------------------------
% 0.14/0.38  % (1927)------------------------------
% 0.14/0.38  Detected minimum model sizes of [1,1]
% 0.14/0.38  Detected maximum model sizes of [1,1]
% 0.14/0.38  TRYING [1,1]
% 0.14/0.38  Cannot enumerate next child to try in an incomplete setup
% 0.14/0.38  % (1929)Refutation not found, incomplete strategy% (1929)------------------------------
% 0.14/0.38  % (1929)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.38  % (1929)Termination reason: Refutation not found, incomplete strategy
% 0.14/0.38  
% 0.14/0.38  % (1929)Memory used [KB]: 721
% 0.14/0.38  % (1929)Time elapsed: 0.003 s
% 0.14/0.38  % (1929)Instructions burned: 2 (million)
% 0.14/0.38  % (1932)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)
% 0.14/0.38  % (1929)------------------------------
% 0.14/0.38  % (1929)------------------------------
% 0.14/0.38  % (1930)Refutation found. Thanks to Tanya!
% 0.14/0.38  % SZS status Theorem for theBenchmark
% 0.14/0.38  % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.38  % (1930)------------------------------
% 0.14/0.38  % (1930)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.38  % (1930)Termination reason: Refutation
% 0.14/0.38  
% 0.14/0.38  % (1930)Memory used [KB]: 726
% 0.14/0.38  % (1930)Time elapsed: 0.003 s
% 0.14/0.38  % (1930)Instructions burned: 2 (million)
% 0.14/0.38  % (1923)Success in time 0.018 s
%------------------------------------------------------------------------------