TSTP Solution File: SYN196-1 by Vampire-SAT---4.8

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SYN196-1 : TPTP v8.1.2. Released v1.1.0.
% 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 18:02:28 EDT 2024

% Result   : Unsatisfiable 0.07s 0.30s
% Output   : Refutation 0.07s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   23 (   6 unt;   0 def)
%            Number of atoms       :   44 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   44 (  23   ~;  17   |;   0   &)
%                                         (   4 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    8 (   7 usr;   5 prp; 0-2 aty)
%            Number of functors    :    2 (   2 usr;   2 con; 0-0 aty)
%            Number of variables   :   14 (  14   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1677,plain,
    $false,
    inference(avatar_sat_refutation,[],[f798,f1552,f1587,f1661,f1675]) ).

fof(f1675,plain,
    ( spl0_69
    | ~ spl0_100 ),
    inference(avatar_contradiction_clause,[],[f1674]) ).

fof(f1674,plain,
    ( $false
    | spl0_69
    | ~ spl0_100 ),
    inference(subsumption_resolution,[],[f1670,f673]) ).

fof(f673,plain,
    ( ~ s1(a)
    | spl0_69 ),
    inference(avatar_component_clause,[],[f671]) ).

fof(f671,plain,
    ( spl0_69
  <=> s1(a) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_69])]) ).

fof(f1670,plain,
    ( s1(a)
    | ~ spl0_100 ),
    inference(resolution,[],[f794,f36]) ).

fof(f36,axiom,
    q0(a,b),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_36) ).

fof(f794,plain,
    ( ! [X9,X4] :
        ( ~ q0(X9,X4)
        | s1(X9) )
    | ~ spl0_100 ),
    inference(avatar_component_clause,[],[f793]) ).

fof(f793,plain,
    ( spl0_100
  <=> ! [X9,X4] :
        ( s1(X9)
        | ~ q0(X9,X4) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_100])]) ).

fof(f1661,plain,
    ( spl0_219
    | ~ spl0_101 ),
    inference(avatar_split_clause,[],[f1660,f796,f1266]) ).

fof(f1266,plain,
    ( spl0_219
  <=> ! [X4] : ~ p0(X4,X4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_219])]) ).

fof(f796,plain,
    ( spl0_101
  <=> ! [X5] : ~ s1(X5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_101])]) ).

fof(f1660,plain,
    ( ! [X2] : ~ p0(X2,X2)
    | ~ spl0_101 ),
    inference(subsumption_resolution,[],[f163,f797]) ).

fof(f797,plain,
    ( ! [X5] : ~ s1(X5)
    | ~ spl0_101 ),
    inference(avatar_component_clause,[],[f796]) ).

fof(f163,axiom,
    ! [X2] :
      ( ~ p0(X2,X2)
      | s1(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_125) ).

fof(f1587,plain,
    ~ spl0_219,
    inference(avatar_contradiction_clause,[],[f1586]) ).

fof(f1586,plain,
    ( $false
    | ~ spl0_219 ),
    inference(resolution,[],[f1267,f14]) ).

fof(f14,axiom,
    ! [X0] : p0(b,X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_14) ).

fof(f1267,plain,
    ( ! [X4] : ~ p0(X4,X4)
    | ~ spl0_219 ),
    inference(avatar_component_clause,[],[f1266]) ).

fof(f1552,plain,
    ~ spl0_69,
    inference(avatar_split_clause,[],[f369,f671]) ).

fof(f369,axiom,
    ~ s1(a),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).

fof(f798,plain,
    ( spl0_100
    | spl0_101 ),
    inference(avatar_split_clause,[],[f164,f796,f793]) ).

fof(f164,axiom,
    ! [X9,X4,X5] :
      ( ~ s1(X5)
      | s1(X9)
      | ~ q0(X9,X4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_126) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.08  % Problem    : SYN196-1 : TPTP v8.1.2. Released v1.1.0.
% 0.04/0.09  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.07/0.27  % Computer : n032.cluster.edu
% 0.07/0.27  % Model    : x86_64 x86_64
% 0.07/0.27  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.27  % Memory   : 8042.1875MB
% 0.07/0.27  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.07/0.27  % CPULimit   : 300
% 0.07/0.27  % WCLimit    : 300
% 0.07/0.27  % DateTime   : Tue Apr 30 02:01:51 EDT 2024
% 0.07/0.28  % CPUTime    : 
% 0.07/0.28  % (2281)Running in auto input_syntax mode. Trying TPTP
% 0.07/0.29  % (2287)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.07/0.29  % (2291)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.07/0.30  % (2292)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)
% 0.07/0.30  % (2286)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.07/0.30  % (2290)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.07/0.30  % (2288)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)
% 0.07/0.30  % (2289)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.07/0.30  % (2291)First to succeed.
% 0.07/0.30  % (2290)Also succeeded, but the first one will report.
% 0.07/0.30  % (2291)Refutation found. Thanks to Tanya!
% 0.07/0.30  % SZS status Unsatisfiable for theBenchmark
% 0.07/0.30  % SZS output start Proof for theBenchmark
% See solution above
% 0.07/0.30  % (2291)------------------------------
% 0.07/0.30  % (2291)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.07/0.30  % (2291)Termination reason: Refutation
% 0.07/0.30  
% 0.07/0.30  % (2291)Memory used [KB]: 1455
% 0.07/0.30  % (2291)Time elapsed: 0.009 s
% 0.07/0.30  % (2291)Instructions burned: 19 (million)
% 0.07/0.30  % (2291)------------------------------
% 0.07/0.30  % (2291)------------------------------
% 0.07/0.30  % (2281)Success in time 0.023 s
%------------------------------------------------------------------------------