%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SYN350-1 : TPTP v8.1.2. Released v1.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n032.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 18:02:59 EDT 2024

% Result   : Unsatisfiable 0.12s 0.29s
% Output   : Refutation 0.12s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   12 (   4 unt;   0 def)
%            Number of atoms       :   23 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   19 (   8   ~;  11   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    2 (   2 usr;   1 con; 0-2 aty)
%            Number of variables   :    9 (   9   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f40,plain,
    $false,
    inference(subsumption_resolution,[],[f39,f35]) ).

fof(f35,plain,
    f(a,z(z(a,a),a)),
    inference(duplicate_literal_removal,[],[f34]) ).

fof(f34,plain,
    ( f(a,z(z(a,a),a))
    | f(a,z(z(a,a),a)) ),
    inference(resolution,[],[f28,f5]) ).

fof(f5,axiom,
    ! [X0,X1] :
      ( ~ f(X0,X1)
      | f(X1,z(X0,X1))
      | f(a,z(X0,X1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause5) ).

fof(f28,plain,
    f(z(a,a),a),
    inference(subsumption_resolution,[],[f21,f1]) ).

fof(f1,axiom,
    ! [X0,X1] :
      ( ~ f(a,z(X0,X1))
      | f(z(X0,X1),a) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause1) ).

fof(f21,plain,
    ( f(a,z(a,a))
    | f(z(a,a),a) ),
    inference(resolution,[],[f16,f1]) ).

fof(f16,plain,
    ! [X0] :
      ( f(X0,z(X0,X0))
      | f(a,z(X0,X0)) ),
    inference(factoring,[],[f3]) ).

fof(f3,axiom,
    ! [X0,X1] :
      ( f(X0,z(X0,X1))
      | f(X1,z(X0,X1))
      | f(a,z(X0,X1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause3) ).

fof(f39,plain,
    ~ f(a,z(z(a,a),a)),
    inference(subsumption_resolution,[],[f37,f28]) ).

fof(f37,plain,
    ( ~ f(z(a,a),a)
    | ~ f(a,z(z(a,a),a)) ),
    inference(resolution,[],[f35,f6]) ).

fof(f6,axiom,
    ! [X0,X1] :
      ( ~ f(X1,z(X0,X1))
      | ~ f(X0,X1)
      | ~ f(a,z(X0,X1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause6) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.08  % Problem    : SYN350-1 : TPTP v8.1.2. Released v1.2.0.
% 0.00/0.09  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.08/0.28  % Computer : n032.cluster.edu
% 0.08/0.28  % Model    : x86_64 x86_64
% 0.08/0.28  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.28  % Memory   : 8042.1875MB
% 0.08/0.28  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.08/0.28  % CPULimit   : 300
% 0.08/0.28  % WCLimit    : 300
% 0.08/0.28  % DateTime   : Tue Apr 30 01:59:36 EDT 2024
% 0.12/0.28  % CPUTime    : 
% 0.12/0.28  % (23690)Running in auto input_syntax mode. Trying TPTP
% 0.12/0.29  % (23693)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)
% 0.12/0.29  % (23695)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.12/0.29  % (23696)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.12/0.29  % (23695)First to succeed.
% 0.12/0.29  % (23693)Also succeeded, but the first one will report.
% 0.12/0.29  % (23696)Also succeeded, but the first one will report.
% 0.12/0.29  % (23695)Refutation found. Thanks to Tanya!
% 0.12/0.29  % SZS status Unsatisfiable for theBenchmark
% 0.12/0.29  % SZS output start Proof for theBenchmark
% See solution above
% 0.12/0.29  % (23695)------------------------------
% 0.12/0.29  % (23695)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.12/0.29  % (23695)Termination reason: Refutation
% 0.12/0.29  
% 0.12/0.29  % (23695)Memory used [KB]: 747
% 0.12/0.29  % (23695)Time elapsed: 0.002 s
% 0.12/0.29  % (23695)Instructions burned: 3 (million)
% 0.12/0.29  % (23695)------------------------------
% 0.12/0.29  % (23695)------------------------------
% 0.12/0.29  % (23690)Success in time 0.012 s
%------------------------------------------------------------------------------