TSTP Solution File: SYN340+1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SYN340+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 : n031.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 18:02:56 EDT 2024

% Result   : Theorem 0.21s 0.37s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    2
% Syntax   : Number of formulae    :    8 (   3 unt;   0 def)
%            Number of atoms       :   15 (   0 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   13 (   6   ~;   0   |;   4   &)
%                                         (   0 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   6 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-5 aty)
%            Number of functors    :    1 (   1 usr;   0 con; 1-1 aty)
%            Number of variables   :   27 (  19   !;   8   ?)

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

fof(f6,plain,
    ! [X2,X3,X0] : big_f(X0,sK0(X0),X2,X3,X2),
    inference(cnf_transformation,[],[f5]) ).

fof(f5,plain,
    ! [X0,X2,X3] :
      ( ~ big_f(X2,X0,sK0(X0),X2,X3)
      & big_f(X0,sK0(X0),X2,X3,X2) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f3,f4]) ).

fof(f4,plain,
    ! [X0] :
      ( ? [X1] :
        ! [X2,X3] :
          ( ~ big_f(X2,X0,X1,X2,X3)
          & big_f(X0,X1,X2,X3,X2) )
     => ! [X3,X2] :
          ( ~ big_f(X2,X0,sK0(X0),X2,X3)
          & big_f(X0,sK0(X0),X2,X3,X2) ) ),
    introduced(choice_axiom,[]) ).

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

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

fof(f1,conjecture,
    ? [X0] :
    ! [X1] :
    ? [X2,X3] :
      ( big_f(X0,X1,X2,X3,X2)
     => big_f(X2,X0,X1,X2,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',church_46_15_5) ).

fof(f7,plain,
    ! [X2,X3,X0] : ~ big_f(X2,X0,sK0(X0),X2,X3),
    inference(cnf_transformation,[],[f5]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem    : SYN340+1 : TPTP v8.1.2. Released v2.0.0.
% 0.04/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.35  % Computer : n031.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit   : 300
% 0.15/0.35  % WCLimit    : 300
% 0.15/0.35  % DateTime   : Tue Apr 30 02:19:13 EDT 2024
% 0.15/0.35  % CPUTime    : 
% 0.15/0.35  % (16865)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.37  % (16866)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.21/0.37  % (16868)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)
% 0.21/0.37  % (16869)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.21/0.37  % (16867)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.21/0.37  % (16871)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.21/0.37  % (16870)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.21/0.37  % (16872)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)
% 0.21/0.37  TRYING [1]
% 0.21/0.37  TRYING [2]
% 0.21/0.37  TRYING [1]
% 0.21/0.37  TRYING [1]
% 0.21/0.37  TRYING [2]
% 0.21/0.37  % (16870)First to succeed.
% 0.21/0.37  TRYING [2]
% 0.21/0.37  TRYING [1]
% 0.21/0.37  TRYING [3]
% 0.21/0.37  TRYING [2]
% 0.21/0.37  TRYING [3]
% 0.21/0.37  TRYING [3]
% 0.21/0.37  TRYING [3]
% 0.21/0.37  % (16871)Also succeeded, but the first one will report.
% 0.21/0.37  % (16872)Also succeeded, but the first one will report.
% 0.21/0.37  % (16870)Refutation found. Thanks to Tanya!
% 0.21/0.37  % SZS status Theorem for theBenchmark
% 0.21/0.37  % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.37  % (16870)------------------------------
% 0.21/0.37  % (16870)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.21/0.37  % (16870)Termination reason: Refutation
% 0.21/0.37  
% 0.21/0.37  % (16870)Memory used [KB]: 730
% 0.21/0.37  % (16870)Time elapsed: 0.003 s
% 0.21/0.37  % (16870)Instructions burned: 2 (million)
% 0.21/0.37  % (16870)------------------------------
% 0.21/0.37  % (16870)------------------------------
% 0.21/0.37  % (16865)Success in time 0.018 s
%------------------------------------------------------------------------------