TSTP Solution File: SWC103-1 by Vampire-SAT---4.8

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SWC103-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n024.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 15:53:52 EDT 2024

% Result   : Unsatisfiable 0.12s 0.36s
% Output   : Refutation 0.12s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :   13
% Syntax   : Number of formulae    :   24 (  12 unt;   0 def)
%            Number of atoms       :   36 (   2 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   22 (  10   ~;   7   |;   0   &)
%                                         (   5 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    3 (   2 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   10 (   8 usr;   6 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   5 con; 0-0 aty)
%            Number of variables   :    0 (   0   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f258,plain,
    $false,
    inference(avatar_sat_refutation,[],[f236,f241,f246,f251,f256,f257]) ).

fof(f257,plain,
    ( ~ spl0_5
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f200,f248,f253]) ).

fof(f253,plain,
    ( spl0_5
  <=> frontsegP(sk4,sk3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f248,plain,
    ( spl0_4
  <=> neq(sk3,nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f200,plain,
    ( ~ neq(sk3,nil)
    | ~ frontsegP(sk4,sk3) ),
    inference(definition_unfolding,[],[f194,f191,f190,f191]) ).

fof(f190,axiom,
    sk2 = sk4,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_5) ).

fof(f191,axiom,
    sk1 = sk3,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_6) ).

fof(f194,axiom,
    ( ~ neq(sk1,nil)
    | ~ frontsegP(sk2,sk1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_9) ).

fof(f256,plain,
    ( spl0_5
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f196,f243,f253]) ).

fof(f243,plain,
    ( spl0_3
  <=> neq(sk4,nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f196,axiom,
    ( ~ neq(sk4,nil)
    | frontsegP(sk4,sk3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_11) ).

fof(f251,plain,
    ( spl0_4
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f195,f243,f248]) ).

fof(f195,axiom,
    ( ~ neq(sk4,nil)
    | neq(sk3,nil) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_10) ).

fof(f246,plain,
    spl0_3,
    inference(avatar_split_clause,[],[f199,f243]) ).

fof(f199,plain,
    neq(sk4,nil),
    inference(definition_unfolding,[],[f192,f190]) ).

fof(f192,axiom,
    neq(sk2,nil),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).

fof(f241,plain,
    spl0_2,
    inference(avatar_split_clause,[],[f198,f238]) ).

fof(f238,plain,
    ( spl0_2
  <=> ssList(sk4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f198,plain,
    ssList(sk4),
    inference(definition_unfolding,[],[f187,f190]) ).

fof(f187,axiom,
    ssList(sk2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_2) ).

fof(f236,plain,
    spl0_1,
    inference(avatar_split_clause,[],[f197,f233]) ).

fof(f233,plain,
    ( spl0_1
  <=> ssList(sk3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f197,plain,
    ssList(sk3),
    inference(definition_unfolding,[],[f186,f191]) ).

fof(f186,axiom,
    ssList(sk1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_1) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem    : SWC103-1 : TPTP v8.1.2. Released v2.4.0.
% 0.11/0.13  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.12/0.33  % Computer : n024.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit   : 300
% 0.12/0.34  % WCLimit    : 300
% 0.12/0.34  % DateTime   : Tue Apr 30 04:15:36 EDT 2024
% 0.12/0.34  % CPUTime    : 
% 0.12/0.34  % (12414)Running in auto input_syntax mode. Trying TPTP
% 0.12/0.36  % (12417)WARNING: value z3 for option sas not known
% 0.12/0.36  % (12416)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.12/0.36  % (12420)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.12/0.36  % (12419)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.12/0.36  % (12418)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.12/0.36  % (12417)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.12/0.36  % (12421)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.12/0.36  % (12415)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.12/0.36  % (12419)First to succeed.
% 0.12/0.36  % (12420)Also succeeded, but the first one will report.
% 0.12/0.36  % (12419)Refutation found. Thanks to Tanya!
% 0.12/0.36  % SZS status Unsatisfiable for theBenchmark
% 0.12/0.36  % SZS output start Proof for theBenchmark
% See solution above
% 0.12/0.37  % (12419)------------------------------
% 0.12/0.37  % (12419)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.12/0.37  % (12419)Termination reason: Refutation
% 0.12/0.37  
% 0.12/0.37  % (12419)Memory used [KB]: 1035
% 0.12/0.37  % (12419)Time elapsed: 0.006 s
% 0.12/0.37  % (12419)Instructions burned: 9 (million)
% 0.12/0.37  % (12419)------------------------------
% 0.12/0.37  % (12419)------------------------------
% 0.12/0.37  % (12414)Success in time 0.024 s
%------------------------------------------------------------------------------