TSTP Solution File: SYN081+1 by Vampire-SAT---4.8

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SYN081+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 : n026.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 18:02:07 EDT 2024

% Result   : Theorem 0.11s 0.35s
% Output   : Refutation 0.11s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   11 (   3 unt;   0 def)
%            Number of atoms       :   21 (   0 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   21 (  11   ~;   6   |;   3   &)
%                                         (   1 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-1 aty)
%            Number of functors    :    1 (   1 usr;   0 con; 1-1 aty)
%            Number of variables   :   10 (   8   !;   2   ?)

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

fof(f9,plain,
    ! [X0] : ~ big_f(X0),
    inference(subsumption_resolution,[],[f7,f6]) ).

fof(f6,plain,
    ! [X0] :
      ( ~ big_f(X0)
      | big_f(f(X0)) ),
    inference(cnf_transformation,[],[f4]) ).

fof(f4,plain,
    ! [X0] :
      ( big_f(f(X0))
      | ~ big_f(X0) ),
    inference(ennf_transformation,[],[f3]) ).

fof(f3,negated_conjecture,
    ~ ? [X0] :
        ( ~ big_f(f(X0))
        & big_f(X0) ),
    inference(negated_conjecture,[],[f2]) ).

fof(f2,conjecture,
    ? [X0] :
      ( ~ big_f(f(X0))
      & big_f(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel59) ).

fof(f7,plain,
    ! [X0] :
      ( ~ big_f(f(X0))
      | ~ big_f(X0) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f5,plain,
    ! [X0] :
      ( ( big_f(X0)
        | big_f(f(X0)) )
      & ( ~ big_f(f(X0))
        | ~ big_f(X0) ) ),
    inference(nnf_transformation,[],[f1]) ).

fof(f1,axiom,
    ! [X0] :
      ( big_f(X0)
    <=> ~ big_f(f(X0)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel59_1) ).

fof(f10,plain,
    ! [X0] : big_f(f(X0)),
    inference(subsumption_resolution,[],[f8,f9]) ).

fof(f8,plain,
    ! [X0] :
      ( big_f(X0)
      | big_f(f(X0)) ),
    inference(cnf_transformation,[],[f5]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.10  % Problem    : SYN081+1 : TPTP v8.1.2. Released v2.0.0.
% 0.06/0.12  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.11/0.32  % Computer : n026.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit   : 300
% 0.11/0.32  % WCLimit    : 300
% 0.11/0.32  % DateTime   : Tue Apr 30 02:07:34 EDT 2024
% 0.11/0.33  % CPUTime    : 
% 0.11/0.33  % (23571)Running in auto input_syntax mode. Trying TPTP
% 0.11/0.34  % (23576)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.11/0.34  % (23573)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.11/0.34  % (23577)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.11/0.34  % (23578)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)
% 0.11/0.34  % (23574)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)
% 0.11/0.34  % (23575)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.11/0.34  % (23576)First to succeed.
% 0.11/0.34  TRYING [1]
% 0.11/0.34  TRYING [1]
% 0.11/0.34  TRYING [2]
% 0.11/0.34  TRYING [2]
% 0.11/0.34  TRYING [1]
% 0.11/0.34  TRYING [3]
% 0.11/0.34  TRYING [3]
% 0.11/0.34  TRYING [2]
% 0.11/0.35  TRYING [3]
% 0.11/0.35  % (23577)Also succeeded, but the first one will report.
% 0.11/0.35  % (23578)Also succeeded, but the first one will report.
% 0.11/0.35  % (23576)Refutation found. Thanks to Tanya!
% 0.11/0.35  % SZS status Theorem for theBenchmark
% 0.11/0.35  % SZS output start Proof for theBenchmark
% See solution above
% 0.11/0.35  % (23576)------------------------------
% 0.11/0.35  % (23576)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.11/0.35  % (23576)Termination reason: Refutation
% 0.11/0.35  
% 0.11/0.35  % (23576)Memory used [KB]: 738
% 0.11/0.35  % (23576)Time elapsed: 0.003 s
% 0.11/0.35  % (23576)Instructions burned: 2 (million)
% 0.11/0.35  % (23576)------------------------------
% 0.11/0.35  % (23576)------------------------------
% 0.11/0.35  % (23571)Success in time 0.016 s
%------------------------------------------------------------------------------