TSTP Solution File: SYN724-1 by Vampire-SAT---4.8

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SYN724-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n002.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 18:04:53 EDT 2024

% Result   : Unsatisfiable 0.16s 0.33s
% Output   : Refutation 0.16s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   20 (   1 unt;   0 def)
%            Number of atoms       :   43 (   0 equ)
%            Maximal formula atoms :    3 (   2 avg)
%            Number of connectives :   42 (  19   ~;  19   |;   0   &)
%                                         (   4 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    7 (   6 usr;   5 prp; 0-1 aty)
%            Number of functors    :    2 (   2 usr;   2 con; 0-0 aty)
%            Number of variables   :    1 (   1   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f32,plain,
    $false,
    inference(avatar_sat_refutation,[],[f14,f19,f24,f25,f29,f31]) ).

fof(f31,plain,
    ( spl0_4
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f30,f7,f21]) ).

fof(f21,plain,
    ( spl0_4
  <=> s(sk2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f7,plain,
    ( spl0_1
  <=> r(sk2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f30,plain,
    ( s(sk2)
    | ~ spl0_1 ),
    inference(resolution,[],[f9,f1]) ).

fof(f1,axiom,
    ! [X0] :
      ( ~ r(X0)
      | s(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm31_3) ).

fof(f9,plain,
    ( r(sk2)
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f7]) ).

fof(f29,plain,
    ( spl0_2
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f26,f16,f11]) ).

fof(f11,plain,
    ( spl0_2
  <=> s(sk1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f16,plain,
    ( spl0_3
  <=> r(sk1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f26,plain,
    ( s(sk1)
    | ~ spl0_3 ),
    inference(resolution,[],[f1,f18]) ).

fof(f18,plain,
    ( r(sk1)
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f16]) ).

fof(f25,plain,
    ( spl0_3
    | ~ spl0_1
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f3,f21,f7,f16]) ).

fof(f3,axiom,
    ( ~ s(sk2)
    | ~ r(sk2)
    | r(sk1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm31_9) ).

fof(f24,plain,
    ( ~ spl0_1
    | ~ spl0_4
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f5,f11,f21,f7]) ).

fof(f5,axiom,
    ( ~ s(sk1)
    | ~ s(sk2)
    | ~ r(sk2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm31_15) ).

fof(f19,plain,
    ( spl0_1
    | spl0_3 ),
    inference(avatar_split_clause,[],[f2,f16,f7]) ).

fof(f2,axiom,
    ( r(sk1)
    | r(sk2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm31_4) ).

fof(f14,plain,
    ( spl0_1
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f4,f11,f7]) ).

fof(f4,axiom,
    ( ~ s(sk1)
    | r(sk2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm31_10) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10  % Problem    : SYN724-1 : TPTP v8.1.2. Released v2.5.0.
% 0.09/0.11  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.11/0.31  % Computer : n002.cluster.edu
% 0.11/0.31  % Model    : x86_64 x86_64
% 0.11/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31  % Memory   : 8042.1875MB
% 0.11/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31  % CPULimit   : 300
% 0.11/0.31  % WCLimit    : 300
% 0.11/0.31  % DateTime   : Tue Apr 30 02:05:54 EDT 2024
% 0.15/0.31  % CPUTime    : 
% 0.16/0.31  % (31360)Running in auto input_syntax mode. Trying TPTP
% 0.16/0.33  % (31364)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.16/0.33  % (31366)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.16/0.33  % (31363)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)
% 0.16/0.33  Detected minimum model sizes of [1]
% 0.16/0.33  Detected maximum model sizes of [2]
% 0.16/0.33  % (31365)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.16/0.33  TRYING [1]
% 0.16/0.33  % (31367)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)
% 0.16/0.33  TRYING [2]
% 0.16/0.33  % (31362)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.16/0.33  % (31366)First to succeed.
% 0.16/0.33  % (31361)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.16/0.33  Detected minimum model sizes of [1]
% 0.16/0.33  Detected maximum model sizes of [2]
% 0.16/0.33  TRYING [1]
% 0.16/0.33  Detected minimum model sizes of [1]
% 0.16/0.33  Detected maximum model sizes of [2]
% 0.16/0.33  % (31363)Also succeeded, but the first one will report.
% 0.16/0.33  Detected minimum model sizes of [1]
% 0.16/0.33  Detected maximum model sizes of [2]
% 0.16/0.33  TRYING [2]
% 0.16/0.33  TRYING [1]
% 0.16/0.33  TRYING [1]
% 0.16/0.33  TRYING [2]
% 0.16/0.33  TRYING [2]
% 0.16/0.33  % (31364)Also succeeded, but the first one will report.
% 0.16/0.33  % (31366)Refutation found. Thanks to Tanya!
% 0.16/0.33  % SZS status Unsatisfiable for theBenchmark
% 0.16/0.33  % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.33  % (31366)------------------------------
% 0.16/0.33  % (31366)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.16/0.33  % (31366)Termination reason: Refutation
% 0.16/0.33  
% 0.16/0.33  % (31366)Memory used [KB]: 742
% 0.16/0.33  % (31366)Time elapsed: 0.002 s
% 0.16/0.33  % (31366)Instructions burned: 2 (million)
% 0.16/0.33  % (31366)------------------------------
% 0.16/0.33  % (31366)------------------------------
% 0.16/0.33  % (31360)Success in time 0.016 s
%------------------------------------------------------------------------------