TSTP Solution File: SYN069-1 by Vampire---4.8

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%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SYN069-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s

% Computer : n025.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 : Fri Sep  1 03:37:26 EDT 2023

% Result   : Unsatisfiable 0.23s 0.43s
% Output   : Refutation 0.23s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   30 (   7 unt;   0 def)
%            Number of atoms       :   77 (   0 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :   97 (  50   ~;  47   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    7 (   6 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   1 con; 0-1 aty)
%            Number of variables   :   11 (;  11   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f61,plain,
    $false,
    inference(resolution,[],[f60,f5]) ).

fof(f5,axiom,
    big_f(a),
    file('/export/starexec/sandbox2/tmp/tmp.IkrVNSIVrh/Vampire---4.8_10991',clause_5) ).

fof(f60,plain,
    ~ big_f(a),
    inference(duplicate_literal_removal,[],[f57]) ).

fof(f57,plain,
    ( ~ big_f(a)
    | ~ big_f(a) ),
    inference(resolution,[],[f56,f27]) ).

fof(f27,plain,
    ( big_g(f(a))
    | ~ big_f(a) ),
    inference(duplicate_literal_removal,[],[f26]) ).

fof(f26,plain,
    ( ~ big_f(a)
    | big_g(f(a))
    | ~ big_f(a) ),
    inference(resolution,[],[f24,f8]) ).

fof(f8,axiom,
    ! [X0] :
      ( big_g(g(X0))
      | ~ big_f(X0) ),
    file('/export/starexec/sandbox2/tmp/tmp.IkrVNSIVrh/Vampire---4.8_10991',clause_8) ).

fof(f24,plain,
    ( ~ big_g(g(a))
    | ~ big_f(a)
    | big_g(f(a)) ),
    inference(resolution,[],[f19,f20]) ).

fof(f20,plain,
    ~ big_k(g(a)),
    inference(resolution,[],[f16,f4]) ).

fof(f4,axiom,
    ! [X0] :
      ( ~ big_l(X0)
      | ~ big_k(X0) ),
    file('/export/starexec/sandbox2/tmp/tmp.IkrVNSIVrh/Vampire---4.8_10991',clause_4) ).

fof(f16,plain,
    big_l(g(a)),
    inference(resolution,[],[f14,f6]) ).

fof(f6,axiom,
    ! [X0] :
      ( big_l(X0)
      | ~ big_h(a,X0) ),
    file('/export/starexec/sandbox2/tmp/tmp.IkrVNSIVrh/Vampire---4.8_10991',clause_6) ).

fof(f14,plain,
    big_h(a,g(a)),
    inference(resolution,[],[f9,f5]) ).

fof(f9,axiom,
    ! [X0] :
      ( ~ big_f(X0)
      | big_h(X0,g(X0)) ),
    file('/export/starexec/sandbox2/tmp/tmp.IkrVNSIVrh/Vampire---4.8_10991',clause_9) ).

fof(f19,plain,
    ( big_k(g(a))
    | ~ big_g(g(a))
    | ~ big_f(a)
    | big_g(f(a)) ),
    inference(resolution,[],[f14,f1]) ).

fof(f1,axiom,
    ! [X0,X1] :
      ( ~ big_f(X0)
      | ~ big_g(X1)
      | big_k(X1)
      | ~ big_h(X0,X1)
      | big_g(f(X0)) ),
    file('/export/starexec/sandbox2/tmp/tmp.IkrVNSIVrh/Vampire---4.8_10991',clause_1) ).

fof(f56,plain,
    ( ~ big_g(f(a))
    | ~ big_f(a) ),
    inference(duplicate_literal_removal,[],[f55]) ).

fof(f55,plain,
    ( ~ big_f(a)
    | ~ big_g(f(a))
    | ~ big_f(a) ),
    inference(resolution,[],[f53,f8]) ).

fof(f53,plain,
    ( ~ big_g(g(a))
    | ~ big_f(a)
    | ~ big_g(f(a)) ),
    inference(resolution,[],[f49,f20]) ).

fof(f49,plain,
    ( big_k(g(a))
    | ~ big_g(g(a))
    | ~ big_f(a)
    | ~ big_g(f(a)) ),
    inference(resolution,[],[f18,f39]) ).

fof(f39,plain,
    ( big_j(a,f(a))
    | ~ big_g(f(a)) ),
    inference(resolution,[],[f38,f7]) ).

fof(f7,axiom,
    ! [X0] :
      ( ~ big_g(X0)
      | ~ big_h(a,X0)
      | big_j(a,X0) ),
    file('/export/starexec/sandbox2/tmp/tmp.IkrVNSIVrh/Vampire---4.8_10991',clause_7) ).

fof(f38,plain,
    big_h(a,f(a)),
    inference(resolution,[],[f37,f5]) ).

fof(f37,plain,
    ( ~ big_f(a)
    | big_h(a,f(a)) ),
    inference(duplicate_literal_removal,[],[f36]) ).

fof(f36,plain,
    ( ~ big_f(a)
    | big_h(a,f(a))
    | ~ big_f(a) ),
    inference(resolution,[],[f34,f8]) ).

fof(f34,plain,
    ( ~ big_g(g(a))
    | ~ big_f(a)
    | big_h(a,f(a)) ),
    inference(resolution,[],[f17,f20]) ).

fof(f17,plain,
    ( big_k(g(a))
    | ~ big_g(g(a))
    | ~ big_f(a)
    | big_h(a,f(a)) ),
    inference(resolution,[],[f14,f2]) ).

fof(f2,axiom,
    ! [X0,X1] :
      ( ~ big_f(X0)
      | ~ big_g(X1)
      | big_k(X1)
      | ~ big_h(X0,X1)
      | big_h(X0,f(X0)) ),
    file('/export/starexec/sandbox2/tmp/tmp.IkrVNSIVrh/Vampire---4.8_10991',clause_2) ).

fof(f18,plain,
    ( ~ big_j(a,f(a))
    | ~ big_g(g(a))
    | big_k(g(a))
    | ~ big_f(a) ),
    inference(resolution,[],[f14,f3]) ).

fof(f3,axiom,
    ! [X0,X1] :
      ( ~ big_f(X0)
      | ~ big_g(X1)
      | big_k(X1)
      | ~ big_h(X0,X1)
      | ~ big_j(X0,f(X0)) ),
    file('/export/starexec/sandbox2/tmp/tmp.IkrVNSIVrh/Vampire---4.8_10991',clause_3) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : SYN069-1 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.15  % Command    : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.15/0.36  % Computer : n025.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   : Sat Aug 26 19:03:38 EDT 2023
% 0.23/0.36  % CPUTime    : 
% 0.23/0.36  This is a CNF_UNS_RFO_NEQ_NHN problem
% 0.23/0.37  Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/tmp/tmp.IkrVNSIVrh/Vampire---4.8_10991
% 0.23/0.37  % (11254)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.43  % (11282)dis+3_1024_av=off:fsr=off:gsp=on:lcm=predicate:nm=4:sos=all:sp=weighted_frequency_338 on Vampire---4 for (338ds/0Mi)
% 0.23/0.43  % (11265)lrs+11_4:3_aac=none:add=off:amm=off:anc=none:bd=preordered:bs=on:bce=on:flr=on:fsd=off:fsr=off:fde=none:nwc=2.5:sims=off:sp=reverse_arity:tgt=full:stl=188_1106 on Vampire---4 for (1106ds/0Mi)
% 0.23/0.43  % (11257)lrs-1_7_acc=on:amm=off:anc=all:bs=on:bsr=on:cond=fast:flr=on:fsr=off:gsp=on:lcm=reverse:lma=on:msp=off:nm=0:nwc=1.2:sp=frequency:stl=188_1354 on Vampire---4 for (1354ds/0Mi)
% 0.23/0.43  % (11269)ott-1010_5_add=off:amm=off:anc=none:bce=on:cond=fast:flr=on:lma=on:nm=2:nwc=1.1:sp=occurrence:tgt=ground_470 on Vampire---4 for (470ds/0Mi)
% 0.23/0.43  % (11267)dis-1_128_add=large:amm=sco:anc=all_dependent:bs=on:bsr=on:bce=on:cond=fast:fsr=off:gsp=on:gs=on:gsem=off:lcm=predicate:lma=on:nm=32:nwc=4.0:nicw=on:sac=on:sp=weighted_frequency_692 on Vampire---4 for (692ds/0Mi)
% 0.23/0.43  % (11278)ott+10_8_br=off:cond=on:fsr=off:gsp=on:nm=16:nwc=3.0:sims=off:sp=reverse_frequency:urr=on_415 on Vampire---4 for (415ds/0Mi)
% 0.23/0.43  % (11258)dis-1002_1_av=off:bsr=on:cond=on:flr=on:fsr=off:gsp=on:nwc=2.0:sims=off_1218 on Vampire---4 for (1218ds/0Mi)
% 0.23/0.43  % (11282)First to succeed.
% 0.23/0.43  % (11269)Also succeeded, but the first one will report.
% 0.23/0.43  % (11282)Refutation found. Thanks to Tanya!
% 0.23/0.43  % SZS status Unsatisfiable for Vampire---4
% 0.23/0.43  % SZS output start Proof for Vampire---4
% See solution above
% 0.23/0.43  % (11282)------------------------------
% 0.23/0.43  % (11282)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.23/0.43  % (11282)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.23/0.43  % (11282)Termination reason: Refutation
% 0.23/0.43  
% 0.23/0.43  % (11282)Memory used [KB]: 895
% 0.23/0.43  % (11282)Time elapsed: 0.004 s
% 0.23/0.43  % (11282)------------------------------
% 0.23/0.43  % (11282)------------------------------
% 0.23/0.43  % (11254)Success in time 0.062 s
% 0.23/0.43  % Vampire---4.8 exiting
%------------------------------------------------------------------------------